%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 18:29:34 EDT 2022 % Result : Theorem 33.06s 33.24s % Output : Proof 33.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n020.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Wed Jun 8 20:48:06 EDT 2022 % 0.13/0.35 % CPUTime : % 33.06/33.24 (* PROOF-FOUND *) % 33.06/33.24 % SZS status Theorem % 33.06/33.24 (* BEGIN-PROOF *) % 33.06/33.24 % SZS output start Proof % 33.06/33.24 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))))))))))))))))))))))))))). % 33.06/33.24 Proof. % 33.06/33.24 assert (zenon_L1_ : (~((e13) = (e13))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H12. % 33.06/33.24 apply zenon_H12. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L1_ *) % 33.06/33.24 assert (zenon_L2_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e13))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H13 zenon_H14 zenon_H15. % 33.06/33.24 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H16 | zenon_intro zenon_H12 ]. % 33.06/33.24 cut (((e13) = (e13)) = ((e11) = (e13))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H15. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H16. % 33.06/33.24 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.06/33.24 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((e13) = (op1 (e10) (e10))) = ((e13) = (e11))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H17. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H13. % 33.06/33.24 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 33.06/33.24 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H12. apply refl_equal. % 33.06/33.24 exact (zenon_H18 zenon_H14). % 33.06/33.24 apply zenon_H12. apply refl_equal. % 33.06/33.24 apply zenon_H12. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L2_ *) % 33.06/33.24 assert (zenon_L3_ : (~((h1 (e11)) = (e21))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H19 zenon_H1a zenon_H1b. % 33.06/33.24 cut (((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((h1 (e11)) = (e21))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H19. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H1a. % 33.06/33.24 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 33.06/33.24 cut (((h1 (e11)) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H1d. apply refl_equal. % 33.06/33.24 apply zenon_H1c. apply sym_equal. exact zenon_H1b. % 33.06/33.24 (* end of lemma zenon_L3_ *) % 33.06/33.24 assert (zenon_L4_ : (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e20) (e21)) = (e21)) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20 zenon_H21 zenon_H1a zenon_H1b. % 33.06/33.24 cut (((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H1e. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H1a. % 33.06/33.24 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 33.06/33.24 cut (((h1 (e11)) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [ zenon_intro zenon_H24 | zenon_intro zenon_H25 ]. % 33.06/33.24 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11)))) = ((h1 (e11)) = (h1 (op1 (e10) (e11))))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H23. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H24. % 33.06/33.24 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 33.06/33.24 cut (((h1 (op1 (e10) (e11))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H27 zenon_H1f). % 33.06/33.24 apply zenon_H25. apply refl_equal. % 33.06/33.24 apply zenon_H25. apply refl_equal. % 33.06/33.24 elim (classic ((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11)))) = ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e11))))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H22. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H28. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h1 (e10)) (h1 (e11))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H2a. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H20. % 33.06/33.24 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 33.06/33.24 cut (((op2 (e20) (e21)) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11)))) = ((op2 (e20) (e21)) = (op2 (h1 (e10)) (h1 (e11))))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H2c. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H28. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 33.06/33.24 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.06/33.24 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H2e zenon_H21). % 33.06/33.24 apply (zenon_L3_); trivial. % 33.06/33.24 apply zenon_H29. apply refl_equal. % 33.06/33.24 apply zenon_H29. apply refl_equal. % 33.06/33.24 exact (zenon_H2b zenon_H1b). % 33.06/33.24 apply zenon_H29. apply refl_equal. % 33.06/33.24 apply zenon_H29. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L4_ *) % 33.06/33.24 assert (zenon_L5_ : (~((e10) = (e10))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H2f. % 33.06/33.24 apply zenon_H2f. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L5_ *) % 33.06/33.24 assert (zenon_L6_ : (~((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H30 zenon_H31. % 33.06/33.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 33.06/33.24 cut (((op1 (op1 (e10) (e10)) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H32. apply sym_equal. exact zenon_H31. % 33.06/33.24 apply zenon_H2f. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L6_ *) % 33.06/33.24 assert (zenon_L7_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e11) (e10)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H33 zenon_H34 zenon_H35 zenon_H31. % 33.06/33.24 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H33. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H34. % 33.06/33.24 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.24 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ]. % 33.06/33.24 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e11) = (op1 (e11) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H36. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H37. % 33.06/33.24 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 33.06/33.24 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H39]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H39 zenon_H35). % 33.06/33.24 apply zenon_H38. apply refl_equal. % 33.06/33.24 apply zenon_H38. apply refl_equal. % 33.06/33.24 apply (zenon_L6_); trivial. % 33.06/33.24 (* end of lemma zenon_L7_ *) % 33.06/33.24 assert (zenon_L8_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 33.06/33.24 do 0 intro. intros zenon_H3a zenon_H3b zenon_H3c. % 33.06/33.24 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H3a. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H3b. % 33.06/33.24 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 33.06/33.24 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H3e. apply refl_equal. % 33.06/33.24 apply zenon_H3d. apply sym_equal. exact zenon_H3c. % 33.06/33.24 (* end of lemma zenon_L8_ *) % 33.06/33.24 assert (zenon_L9_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.24 do 0 intro. intros zenon_H3f zenon_H40 zenon_H41. % 33.06/33.24 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H3f. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H40. % 33.06/33.24 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 33.06/33.24 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H3e. apply refl_equal. % 33.06/33.24 apply zenon_H42. apply sym_equal. exact zenon_H41. % 33.06/33.24 (* end of lemma zenon_L9_ *) % 33.06/33.24 assert (zenon_L10_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e13) (e11)) = (e10))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H43 zenon_H44 zenon_H45 zenon_H40 zenon_H3f zenon_H46. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.06/33.24 exact (zenon_H44 zenon_H48). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.06/33.24 exact (zenon_H45 zenon_H4a). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.06/33.24 apply (zenon_L9_); trivial. % 33.06/33.24 exact (zenon_H46 zenon_H4b). % 33.06/33.24 (* end of lemma zenon_L10_ *) % 33.06/33.24 assert (zenon_L11_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False). % 33.06/33.24 do 0 intro. intros zenon_H4c zenon_H41 zenon_H4b. % 33.06/33.24 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H4c. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H41. % 33.06/33.24 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 33.06/33.24 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H4e. apply refl_equal. % 33.06/33.24 apply zenon_H4d. apply sym_equal. exact zenon_H4b. % 33.06/33.24 (* end of lemma zenon_L11_ *) % 33.06/33.24 assert (zenon_L12_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 33.06/33.24 do 0 intro. intros zenon_H4f zenon_H50 zenon_H51. % 33.06/33.24 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H4f. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H50. % 33.06/33.24 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 33.06/33.24 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H53. apply refl_equal. % 33.06/33.24 apply zenon_H52. apply sym_equal. exact zenon_H51. % 33.06/33.24 (* end of lemma zenon_L12_ *) % 33.06/33.24 assert (zenon_L13_ : (~((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H54 zenon_H13. % 33.06/33.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 33.06/33.24 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 33.06/33.24 congruence. % 33.06/33.24 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.24 apply zenon_H2f. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L13_ *) % 33.06/33.24 assert (zenon_L14_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e13)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H31 zenon_H56 zenon_H13 zenon_H57. % 33.06/33.24 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 33.06/33.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H57. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H58. % 33.06/33.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e13)) = (op1 (e13) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H5a. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H31. % 33.06/33.24 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.24 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 33.06/33.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H5b. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H58. % 33.06/33.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.24 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H5c zenon_H56). % 33.06/33.24 apply zenon_H59. apply refl_equal. % 33.06/33.24 apply zenon_H59. apply refl_equal. % 33.06/33.24 apply (zenon_L13_); trivial. % 33.06/33.24 apply zenon_H59. apply refl_equal. % 33.06/33.24 apply zenon_H59. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L14_ *) % 33.06/33.24 assert (zenon_L15_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H5d zenon_H41 zenon_H4c zenon_H50 zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4b | zenon_intro zenon_H5f ]. % 33.06/33.24 apply (zenon_L11_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H51 | zenon_intro zenon_H60 ]. % 33.06/33.24 apply (zenon_L12_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H56 | zenon_intro zenon_H61 ]. % 33.06/33.24 apply (zenon_L14_); trivial. % 33.06/33.24 exact (zenon_H5e zenon_H61). % 33.06/33.24 (* end of lemma zenon_L15_ *) % 33.06/33.24 assert (zenon_L16_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H62 zenon_H46 zenon_H3f zenon_H45 zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H50 zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.06/33.24 apply (zenon_L10_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.06/33.24 exact (zenon_H63 zenon_H67). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.06/33.24 exact (zenon_H64 zenon_H68). % 33.06/33.24 apply (zenon_L15_); trivial. % 33.06/33.24 (* end of lemma zenon_L16_ *) % 33.06/33.24 assert (zenon_L17_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H3b zenon_H3a zenon_H62 zenon_H46 zenon_H3f zenon_H45 zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.24 apply (zenon_L7_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.24 exact (zenon_H6a zenon_H6d). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.24 apply (zenon_L8_); trivial. % 33.06/33.24 apply (zenon_L16_); trivial. % 33.06/33.24 (* end of lemma zenon_L17_ *) % 33.06/33.24 assert (zenon_L18_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e10) = (e11))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H6e zenon_H6f zenon_H70. % 33.06/33.24 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H71 | zenon_intro zenon_H72 ]. % 33.06/33.24 cut (((e11) = (e11)) = ((e10) = (e11))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H70. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H71. % 33.06/33.24 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 33.06/33.24 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((op1 (e10) (e13)) = (e10)) = ((e11) = (e10))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H73. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H6e. % 33.06/33.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 33.06/33.24 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H74 zenon_H6f). % 33.06/33.24 apply zenon_H2f. apply refl_equal. % 33.06/33.24 apply zenon_H72. apply refl_equal. % 33.06/33.24 apply zenon_H72. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L18_ *) % 33.06/33.24 assert (zenon_L19_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H75 zenon_H76 zenon_H77 zenon_H78 zenon_H79 zenon_H15 zenon_H1b zenon_H1a zenon_H21 zenon_H20 zenon_H1e zenon_H5e zenon_H31 zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H45 zenon_H3f zenon_H46 zenon_H62 zenon_H3a zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H70. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.24 exact (zenon_H76 zenon_H7b). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.24 exact (zenon_H77 zenon_H7d). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.24 exact (zenon_H78 zenon_H40). % 33.06/33.24 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7e ]. % 33.06/33.24 apply (zenon_L2_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H1f | zenon_intro zenon_H7f ]. % 33.06/33.24 apply (zenon_L4_); trivial. % 33.06/33.24 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H3b | zenon_intro zenon_H6f ]. % 33.06/33.24 apply (zenon_L17_); trivial. % 33.06/33.24 apply (zenon_L18_); trivial. % 33.06/33.24 (* end of lemma zenon_L19_ *) % 33.06/33.24 assert (zenon_L20_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H13 zenon_H80 zenon_H81. % 33.06/33.24 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H82 | zenon_intro zenon_H83 ]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H81. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H82. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H84. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H13. % 33.06/33.24 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.06/33.24 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H82 | zenon_intro zenon_H83 ]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H86. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H82. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H87 zenon_H80). % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply zenon_H85. apply refl_equal. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L20_ *) % 33.06/33.24 assert (zenon_L21_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e13) (e10)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H34 zenon_H88 zenon_H31 zenon_H89. % 33.06/33.24 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H82 | zenon_intro zenon_H83 ]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H89. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H82. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H8a. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H34. % 33.06/33.24 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.24 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H82 | zenon_intro zenon_H83 ]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H8b. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H82. % 33.06/33.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 33.06/33.24 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H8c zenon_H88). % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply (zenon_L6_); trivial. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 apply zenon_H83. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L21_ *) % 33.06/33.24 assert (zenon_L22_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e12) (e12)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 33.06/33.24 do 0 intro. intros zenon_H34 zenon_H8d zenon_H31 zenon_H8e. % 33.06/33.24 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ]. % 33.06/33.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H8e. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H8f. % 33.06/33.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 33.06/33.24 congruence. % 33.06/33.24 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H91. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H34. % 33.06/33.24 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.24 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 33.06/33.24 congruence. % 33.06/33.24 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ]. % 33.06/33.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))). % 33.06/33.24 intro zenon_D_pnotp. % 33.06/33.24 apply zenon_H92. % 33.06/33.24 rewrite <- zenon_D_pnotp. % 33.06/33.24 exact zenon_H8f. % 33.06/33.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.24 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 33.06/33.24 congruence. % 33.06/33.24 exact (zenon_H93 zenon_H8d). % 33.06/33.24 apply zenon_H90. apply refl_equal. % 33.06/33.24 apply zenon_H90. apply refl_equal. % 33.06/33.24 apply (zenon_L6_); trivial. % 33.06/33.24 apply zenon_H90. apply refl_equal. % 33.06/33.24 apply zenon_H90. apply refl_equal. % 33.06/33.24 (* end of lemma zenon_L22_ *) % 33.06/33.24 assert (zenon_L23_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.24 do 0 intro. intros zenon_H94 zenon_H48 zenon_H41. % 33.06/33.24 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H94. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H48. % 33.06/33.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 33.06/33.25 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H83. apply refl_equal. % 33.06/33.25 apply zenon_H42. apply sym_equal. exact zenon_H41. % 33.06/33.25 (* end of lemma zenon_L23_ *) % 33.06/33.25 assert (zenon_L24_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H51 zenon_H95 zenon_H4c. % 33.06/33.25 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H4c. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H58. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H96. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H51. % 33.06/33.25 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 apply zenon_H97. apply sym_equal. exact zenon_H95. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L24_ *) % 33.06/33.25 assert (zenon_L25_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H5d zenon_H46 zenon_H4c zenon_H95 zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4b | zenon_intro zenon_H5f ]. % 33.06/33.25 exact (zenon_H46 zenon_H4b). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H51 | zenon_intro zenon_H60 ]. % 33.06/33.25 apply (zenon_L24_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H56 | zenon_intro zenon_H61 ]. % 33.06/33.25 apply (zenon_L14_); trivial. % 33.06/33.25 exact (zenon_H5e zenon_H61). % 33.06/33.25 (* end of lemma zenon_L25_ *) % 33.06/33.25 assert (zenon_L26_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e12)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H31 zenon_H98 zenon_H13 zenon_H94. % 33.06/33.25 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H4e ]. % 33.06/33.25 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H94. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H99. % 33.06/33.25 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 33.06/33.25 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H9a. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H31. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.25 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H4e ]. % 33.06/33.25 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H9b. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H99. % 33.06/33.25 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 33.06/33.25 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_H9c zenon_H98). % 33.06/33.25 apply zenon_H4e. apply refl_equal. % 33.06/33.25 apply zenon_H4e. apply refl_equal. % 33.06/33.25 apply (zenon_L13_); trivial. % 33.06/33.25 apply zenon_H4e. apply refl_equal. % 33.06/33.25 apply zenon_H4e. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L26_ *) % 33.06/33.25 assert (zenon_L27_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H9d zenon_H9e zenon_H9f. % 33.06/33.25 cut (((op1 (e12) (e12)) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H9d. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H9e. % 33.06/33.25 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H90. apply refl_equal. % 33.06/33.25 apply zenon_Ha0. apply sym_equal. exact zenon_H9f. % 33.06/33.25 (* end of lemma zenon_L27_ *) % 33.06/33.25 assert (zenon_L28_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha1 zenon_H81 zenon_H64 zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H13 zenon_H5e zenon_H5d zenon_H48 zenon_H94 zenon_Ha4. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.25 exact (zenon_H64 zenon_H68). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.25 apply (zenon_L23_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.25 apply (zenon_L25_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L27_); trivial. % 33.06/33.25 apply (zenon_L20_); trivial. % 33.06/33.25 (* end of lemma zenon_L28_ *) % 33.06/33.25 assert (zenon_L29_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e12) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H89 zenon_H31 zenon_Haa zenon_H13. % 33.06/33.25 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H89. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H31. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.25 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hac | zenon_intro zenon_Had ]. % 33.06/33.25 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hab. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hac. % 33.06/33.25 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 33.06/33.25 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hae zenon_Haa). % 33.06/33.25 apply zenon_Had. apply refl_equal. % 33.06/33.25 apply zenon_Had. apply refl_equal. % 33.06/33.25 apply (zenon_L13_); trivial. % 33.06/33.25 (* end of lemma zenon_L29_ *) % 33.06/33.25 assert (zenon_L30_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Haf zenon_H31 zenon_Hb0 zenon_H13. % 33.06/33.25 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Haf. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H31. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.25 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hb1. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H37. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hb2 zenon_Hb0). % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply (zenon_L13_); trivial. % 33.06/33.25 (* end of lemma zenon_L30_ *) % 33.06/33.25 assert (zenon_L31_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e12)) -> (~((e12) = (e13))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H13 zenon_Hb3 zenon_Hb4. % 33.06/33.25 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H16 | zenon_intro zenon_H12 ]. % 33.06/33.25 cut (((e13) = (e13)) = ((e12) = (e13))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hb4. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H16. % 33.06/33.25 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.06/33.25 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e13) = (op1 (e10) (e10))) = ((e13) = (e12))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hb5. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H13. % 33.06/33.25 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 33.06/33.25 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H12. apply refl_equal. % 33.06/33.25 exact (zenon_Hb6 zenon_Hb3). % 33.06/33.25 apply zenon_H12. apply refl_equal. % 33.06/33.25 apply zenon_H12. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L31_ *) % 33.06/33.25 assert (zenon_L32_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H13 zenon_Hb7 zenon_Hb8. % 33.06/33.25 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hb8. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hb9. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hbb. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H13. % 33.06/33.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.06/33.25 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hbc. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hb9. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hbd zenon_Hb7). % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply zenon_H85. apply refl_equal. % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L32_ *) % 33.06/33.25 assert (zenon_L33_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e12) (e13)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H34 zenon_Hbe zenon_H31 zenon_Hbf. % 33.06/33.25 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 33.06/33.25 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hbf. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hc0. % 33.06/33.25 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 33.06/33.25 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hc2. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H34. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.25 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 33.06/33.25 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hc3. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hc0. % 33.06/33.25 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 33.06/33.25 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hc4 zenon_Hbe). % 33.06/33.25 apply zenon_Hc1. apply refl_equal. % 33.06/33.25 apply zenon_Hc1. apply refl_equal. % 33.06/33.25 apply (zenon_L6_); trivial. % 33.06/33.25 apply zenon_Hc1. apply refl_equal. % 33.06/33.25 apply zenon_Hc1. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L33_ *) % 33.06/33.25 assert (zenon_L34_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e12) (e11)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H34 zenon_Hc5 zenon_H31 zenon_Hc6. % 33.06/33.25 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hc6. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hc7. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hc9. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H34. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.25 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e11) = (op1 (e12) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hca. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hc7. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hcb]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hcb zenon_Hc5). % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 apply (zenon_L6_); trivial. % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L34_ *) % 33.06/33.25 assert (zenon_L35_ : ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hcc zenon_Hc6 zenon_Hcd zenon_H8e zenon_H34 zenon_H31 zenon_Hbf zenon_Hce. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hc5 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 33.06/33.25 exact (zenon_Hcd zenon_Hd0). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd1 ]. % 33.06/33.25 exact (zenon_Hcb zenon_Hc5). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbe ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_L33_); trivial. % 33.06/33.25 apply (zenon_L34_); trivial. % 33.06/33.25 (* end of lemma zenon_L35_ *) % 33.06/33.25 assert (zenon_L36_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hd2 zenon_H7d zenon_Hd3. % 33.06/33.25 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hd2. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H7d. % 33.06/33.25 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply zenon_Hd4. apply sym_equal. exact zenon_Hd3. % 33.06/33.25 (* end of lemma zenon_L36_ *) % 33.06/33.25 assert (zenon_L37_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hd5 zenon_H40 zenon_H68. % 33.06/33.25 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hd5. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H40. % 33.06/33.25 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 33.06/33.25 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H3e. apply refl_equal. % 33.06/33.25 apply zenon_Hd6. apply sym_equal. exact zenon_H68. % 33.06/33.25 (* end of lemma zenon_L37_ *) % 33.06/33.25 assert (zenon_L38_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha4 zenon_H40 zenon_Hd5 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d zenon_H9f. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.25 apply (zenon_L37_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 apply (zenon_L27_); trivial. % 33.06/33.25 (* end of lemma zenon_L38_ *) % 33.06/33.25 assert (zenon_L39_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha3 zenon_H48 zenon_Hd7 zenon_H94 zenon_H13 zenon_Ha4 zenon_H40 zenon_Hd5 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.25 apply (zenon_L23_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.25 exact (zenon_Hd7 zenon_H95). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L38_); trivial. % 33.06/33.25 (* end of lemma zenon_L39_ *) % 33.06/33.25 assert (zenon_L40_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hd8 zenon_H4a zenon_H41. % 33.06/33.25 cut (((op1 (e13) (e11)) = (e10)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hd8. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H4a. % 33.06/33.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply zenon_H42. apply sym_equal. exact zenon_H41. % 33.06/33.25 (* end of lemma zenon_L40_ *) % 33.06/33.25 assert (zenon_L41_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha3 zenon_H4a zenon_Hd8 zenon_Hd7 zenon_H94 zenon_H13 zenon_H31 zenon_H9d zenon_H9e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.25 apply (zenon_L40_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.25 exact (zenon_Hd7 zenon_H95). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L27_); trivial. % 33.06/33.25 (* end of lemma zenon_L41_ *) % 33.06/33.25 assert (zenon_L42_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha4 zenon_H40 zenon_Hd5 zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha3 zenon_H4a zenon_Hd8 zenon_Hd7 zenon_H94 zenon_H13 zenon_H31 zenon_H9d. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.25 apply (zenon_L37_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 apply (zenon_L41_); trivial. % 33.06/33.25 (* end of lemma zenon_L42_ *) % 33.06/33.25 assert (zenon_L43_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha3 zenon_H4b zenon_H4c zenon_Hd7 zenon_H94 zenon_H13 zenon_Ha4 zenon_H40 zenon_Hd5 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.25 apply (zenon_L11_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.25 exact (zenon_Hd7 zenon_H95). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L38_); trivial. % 33.06/33.25 (* end of lemma zenon_L43_ *) % 33.06/33.25 assert (zenon_L44_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H43 zenon_Hd8 zenon_H3f zenon_Ha3 zenon_H4c zenon_Hd7 zenon_H94 zenon_H13 zenon_Ha4 zenon_H40 zenon_Hd5 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.06/33.25 apply (zenon_L39_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.06/33.25 apply (zenon_L42_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.06/33.25 apply (zenon_L9_); trivial. % 33.06/33.25 apply (zenon_L43_); trivial. % 33.06/33.25 (* end of lemma zenon_L44_ *) % 33.06/33.25 assert (zenon_L45_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hda zenon_H67 zenon_H68. % 33.06/33.25 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hda. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H67. % 33.06/33.25 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 33.06/33.25 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hdb. apply refl_equal. % 33.06/33.25 apply zenon_Hd6. apply sym_equal. exact zenon_H68. % 33.06/33.25 (* end of lemma zenon_L45_ *) % 33.06/33.25 assert (zenon_L46_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha3 zenon_H48 zenon_Hd7 zenon_H94 zenon_H13 zenon_H31 zenon_H9d zenon_H9e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.25 apply (zenon_L23_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.25 exact (zenon_Hd7 zenon_H95). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L27_); trivial. % 33.06/33.25 (* end of lemma zenon_L46_ *) % 33.06/33.25 assert (zenon_L47_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha4 zenon_H67 zenon_Hda zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha3 zenon_H48 zenon_Hd7 zenon_H94 zenon_H13 zenon_H31 zenon_H9d. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.25 apply (zenon_L45_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 apply (zenon_L46_); trivial. % 33.06/33.25 (* end of lemma zenon_L47_ *) % 33.06/33.25 assert (zenon_L48_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hdc zenon_Hd3 zenon_H68. % 33.06/33.25 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hdc. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hd3. % 33.06/33.25 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 apply zenon_Hd6. apply sym_equal. exact zenon_H68. % 33.06/33.25 (* end of lemma zenon_L48_ *) % 33.06/33.25 assert (zenon_L49_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e12)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H62 zenon_Hd5 zenon_H9d zenon_H31 zenon_H13 zenon_Hd7 zenon_Ha3 zenon_Ha2 zenon_H34 zenon_H8e zenon_Hda zenon_Ha4 zenon_Hd3 zenon_Hdc zenon_H94 zenon_H48. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.06/33.25 apply (zenon_L39_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.06/33.25 apply (zenon_L47_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.06/33.25 apply (zenon_L48_); trivial. % 33.06/33.25 apply (zenon_L23_); trivial. % 33.06/33.25 (* end of lemma zenon_L49_ *) % 33.06/33.25 assert (zenon_L50_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hdd zenon_Hd3 zenon_H4a. % 33.06/33.25 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hdd. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hd3. % 33.06/33.25 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 33.06/33.25 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hc8. apply refl_equal. % 33.06/33.25 apply zenon_Hde. apply sym_equal. exact zenon_H4a. % 33.06/33.25 (* end of lemma zenon_L50_ *) % 33.06/33.25 assert (zenon_L51_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hdf zenon_H67 zenon_H41. % 33.06/33.25 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hdf. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H67. % 33.06/33.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 33.06/33.25 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_Hdb. apply refl_equal. % 33.06/33.25 apply zenon_H42. apply sym_equal. exact zenon_H41. % 33.06/33.25 (* end of lemma zenon_L51_ *) % 33.06/33.25 assert (zenon_L52_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_He0 zenon_H6e zenon_H4b. % 33.06/33.25 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_He0. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H6e. % 33.06/33.25 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 33.06/33.25 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_He1. apply refl_equal. % 33.06/33.25 apply zenon_H4d. apply sym_equal. exact zenon_H4b. % 33.06/33.25 (* end of lemma zenon_L52_ *) % 33.06/33.25 assert (zenon_L53_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H31 zenon_He2 zenon_H13 zenon_He3. % 33.06/33.25 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He4 | zenon_intro zenon_Hd9 ]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_He3. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_He4. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_He5. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H31. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.25 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He4 | zenon_intro zenon_Hd9 ]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_He6. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_He4. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_He7 zenon_He2). % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply (zenon_L13_); trivial. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L53_ *) % 33.06/33.25 assert (zenon_L54_ : ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_He8 zenon_H75 zenon_H39 zenon_H6a zenon_He9 zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_H69 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hea zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_Hcc. % 33.06/33.25 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.25 apply (zenon_L35_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.25 exact (zenon_H76 zenon_H7b). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.25 apply (zenon_L36_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.25 apply (zenon_L44_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.25 exact (zenon_H39 zenon_H35). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.25 exact (zenon_H6a zenon_H6d). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.25 exact (zenon_He9 zenon_H3c). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.06/33.25 apply (zenon_L44_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.06/33.25 apply (zenon_L49_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.06/33.25 apply (zenon_L50_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.06/33.25 apply (zenon_L51_); trivial. % 33.06/33.25 apply (zenon_L52_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.06/33.25 apply (zenon_L48_); trivial. % 33.06/33.25 apply (zenon_L15_); trivial. % 33.06/33.25 apply (zenon_L53_); trivial. % 33.06/33.25 (* end of lemma zenon_L54_ *) % 33.06/33.25 assert (zenon_L55_ : (~((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Heb zenon_Hec zenon_H13 zenon_Hed. % 33.06/33.25 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Heb. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hec. % 33.06/33.25 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 33.06/33.25 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ]. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hef. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hf0. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 33.06/33.25 congruence. % 33.06/33.25 apply (zenon_L13_); trivial. % 33.06/33.25 apply zenon_Hf1. apply refl_equal. % 33.06/33.25 apply zenon_Hf1. apply refl_equal. % 33.06/33.25 apply zenon_Hee. apply sym_equal. exact zenon_Hed. % 33.06/33.25 (* end of lemma zenon_L55_ *) % 33.06/33.25 assert (zenon_L56_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hf2 zenon_H31 zenon_Hf3 zenon_Hec zenon_Hed zenon_H13. % 33.06/33.25 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hf2. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H31. % 33.06/33.25 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 33.06/33.25 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hf4. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hb9. % 33.06/33.25 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 33.06/33.25 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_Hf5 zenon_Hf3). % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply zenon_Hba. apply refl_equal. % 33.06/33.25 apply (zenon_L55_); trivial. % 33.06/33.25 (* end of lemma zenon_L56_ *) % 33.06/33.25 assert (zenon_L57_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hf6 zenon_Hed zenon_Hf3 zenon_Hf2 zenon_He3 zenon_H94 zenon_H31 zenon_H13 zenon_H57. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf7 ]. % 33.06/33.25 apply (zenon_L56_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf8 ]. % 33.06/33.25 apply (zenon_L53_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H98 | zenon_intro zenon_H56 ]. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 apply (zenon_L14_); trivial. % 33.06/33.25 (* end of lemma zenon_L57_ *) % 33.06/33.25 assert (zenon_L58_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Hf9 zenon_Hfa zenon_Hfb. % 33.06/33.25 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hf9. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hfa. % 33.06/33.25 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb. % 33.06/33.25 (* end of lemma zenon_L58_ *) % 33.06/33.25 assert (zenon_L59_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H13 zenon_Hfd zenon_Hfe. % 33.06/33.25 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hfe. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H37. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hff. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H13. % 33.06/33.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.06/33.25 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e13) = (op1 (e11) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H100. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H37. % 33.06/33.25 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 33.06/33.25 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_H101 zenon_Hfd). % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply zenon_H85. apply refl_equal. % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 apply zenon_H38. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L59_ *) % 33.06/33.25 assert (zenon_L60_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H102 zenon_Hfb zenon_Hf9 zenon_H34 zenon_H33 zenon_H31 zenon_Haf zenon_H13 zenon_Hfe. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 33.06/33.25 apply (zenon_L58_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H35 | zenon_intro zenon_H104 ]. % 33.06/33.25 apply (zenon_L7_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfd ]. % 33.06/33.25 apply (zenon_L30_); trivial. % 33.06/33.25 apply (zenon_L59_); trivial. % 33.06/33.25 (* end of lemma zenon_L60_ *) % 33.06/33.25 assert (zenon_L61_ : ((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H105 zenon_Hf9 zenon_H33 zenon_Haf zenon_Hfe zenon_H102 zenon_He8 zenon_H75 zenon_H6a zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_H69 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hea zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_Hcc zenon_Hf6 zenon_Hf3 zenon_Hf2 zenon_H106. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.06/33.25 apply (zenon_L54_); trivial. % 33.06/33.25 apply (zenon_L57_); trivial. % 33.06/33.25 apply (zenon_L60_); trivial. % 33.06/33.25 (* end of lemma zenon_L61_ *) % 33.06/33.25 assert (zenon_L62_ : ((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12))) -> ((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H107 zenon_H106 zenon_Hf2 zenon_Hf6 zenon_Hcc zenon_Hc6 zenon_H8e zenon_H34 zenon_H31 zenon_Hbf zenon_Hce zenon_Hea zenon_He3 zenon_H76 zenon_Hd2 zenon_H43 zenon_H4c zenon_H3f zenon_Hd8 zenon_H94 zenon_Ha4 zenon_H9d zenon_Ha2 zenon_Hd5 zenon_Ha3 zenon_H69 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H6a zenon_H75 zenon_He8 zenon_H102 zenon_Hfe zenon_Haf zenon_H33 zenon_Hf9 zenon_H105 zenon_H79 zenon_H27 zenon_H18 zenon_Hb8 zenon_H13 zenon_H108. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_Hf3 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H74 | zenon_intro zenon_Hb7 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7e ]. % 33.06/33.25 exact (zenon_H18 zenon_H14). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H1f | zenon_intro zenon_H7f ]. % 33.06/33.25 exact (zenon_H27 zenon_H1f). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H3b | zenon_intro zenon_H6f ]. % 33.06/33.25 exact (zenon_H109 zenon_H3b). % 33.06/33.25 exact (zenon_H74 zenon_H6f). % 33.06/33.25 apply (zenon_L32_); trivial. % 33.06/33.25 apply (zenon_L61_); trivial. % 33.06/33.25 (* end of lemma zenon_L62_ *) % 33.06/33.25 assert (zenon_L63_ : ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_He8 zenon_H7d zenon_Hd2 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_Hcc. % 33.06/33.25 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.25 apply (zenon_L35_); trivial. % 33.06/33.25 apply (zenon_L36_); trivial. % 33.06/33.25 (* end of lemma zenon_L63_ *) % 33.06/33.25 assert (zenon_L64_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H10a zenon_Hae zenon_H10b zenon_Ha2 zenon_H10c. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Haa | zenon_intro zenon_H10d ]. % 33.06/33.25 exact (zenon_Hae zenon_Haa). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 33.06/33.25 exact (zenon_H10b zenon_H10f). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H110 ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 exact (zenon_H10c zenon_H110). % 33.06/33.25 (* end of lemma zenon_L64_ *) % 33.06/33.25 assert (zenon_L65_ : ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H111 zenon_H94 zenon_H112 zenon_He3 zenon_H31 zenon_H13 zenon_H57 zenon_Hf6. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H9c | zenon_intro zenon_H98 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf7 ]. % 33.06/33.25 exact (zenon_H112 zenon_Hec). % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf8 ]. % 33.06/33.25 apply (zenon_L53_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H98 | zenon_intro zenon_H56 ]. % 33.06/33.25 exact (zenon_H9c zenon_H98). % 33.06/33.25 apply (zenon_L14_); trivial. % 33.06/33.25 apply (zenon_L26_); trivial. % 33.06/33.25 (* end of lemma zenon_L65_ *) % 33.06/33.25 assert (zenon_L66_ : ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H9e zenon_H113 zenon_Hdc. % 33.06/33.25 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ]. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_Hdc. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H8f. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((op1 (e12) (e12)) = (e13)) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H114. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H9e. % 33.06/33.25 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H90. apply refl_equal. % 33.06/33.25 apply zenon_H115. apply sym_equal. exact zenon_H113. % 33.06/33.25 apply zenon_H90. apply refl_equal. % 33.06/33.25 apply zenon_H90. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L66_ *) % 33.06/33.25 assert (zenon_L67_ : (((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)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (e12))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H116 zenon_H7d zenon_Hd2 zenon_Hc6 zenon_H31 zenon_H34 zenon_H10b zenon_H9e zenon_Hdc. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H117 ]. % 33.06/33.25 apply (zenon_L36_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H118 ]. % 33.06/33.25 apply (zenon_L34_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ]. % 33.06/33.25 exact (zenon_H10b zenon_H10f). % 33.06/33.25 apply (zenon_L66_); trivial. % 33.06/33.25 (* end of lemma zenon_L67_ *) % 33.06/33.25 assert (zenon_L68_ : (~((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e10) (e11)) = (e11)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H31 zenon_H1f. % 33.06/33.25 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e10) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H119. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_Hd0. % 33.06/33.25 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 33.06/33.25 cut (((op1 (e12) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e12) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H11b. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H11c. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.06/33.25 congruence. % 33.06/33.25 apply (zenon_L6_); trivial. % 33.06/33.25 apply zenon_H11d. apply refl_equal. % 33.06/33.25 apply zenon_H11d. apply refl_equal. % 33.06/33.25 apply zenon_H11a. apply sym_equal. exact zenon_H1f. % 33.06/33.25 (* end of lemma zenon_L68_ *) % 33.06/33.25 assert (zenon_L69_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H34 zenon_H11e zenon_Hd0 zenon_H1f zenon_H31 zenon_H11f. % 33.06/33.25 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He4 | zenon_intro zenon_Hd9 ]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H11f. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_He4. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H120. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H34. % 33.06/33.25 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 33.06/33.25 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 33.06/33.25 congruence. % 33.06/33.25 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He4 | zenon_intro zenon_Hd9 ]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H121. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_He4. % 33.06/33.25 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd9]. % 33.06/33.25 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 33.06/33.25 congruence. % 33.06/33.25 exact (zenon_H122 zenon_H11e). % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply (zenon_L68_); trivial. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 apply zenon_Hd9. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L69_ *) % 33.06/33.25 assert (zenon_L70_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H3f zenon_H3b zenon_H95. % 33.06/33.25 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H3f. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H3b. % 33.06/33.25 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 33.06/33.25 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H3e. apply refl_equal. % 33.06/33.25 apply zenon_H97. apply sym_equal. exact zenon_H95. % 33.06/33.25 (* end of lemma zenon_L70_ *) % 33.06/33.25 assert (zenon_L71_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H123 zenon_H89 zenon_H11f zenon_H31 zenon_H1f zenon_Hd0 zenon_H34 zenon_H3b zenon_H3f zenon_H4f zenon_H50. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H88 | zenon_intro zenon_H124 ]. % 33.06/33.25 apply (zenon_L21_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11e | zenon_intro zenon_H125 ]. % 33.06/33.25 apply (zenon_L69_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H95 | zenon_intro zenon_H51 ]. % 33.06/33.25 apply (zenon_L70_); trivial. % 33.06/33.25 apply (zenon_L12_); trivial. % 33.06/33.25 (* end of lemma zenon_L71_ *) % 33.06/33.25 assert (zenon_L72_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H51 zenon_H11e zenon_H126. % 33.06/33.25 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H126. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H58. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 33.06/33.25 congruence. % 33.06/33.25 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e13) (e11)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H127. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H51. % 33.06/33.25 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 33.06/33.25 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 apply zenon_H121. apply sym_equal. exact zenon_H11e. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 apply zenon_H59. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L72_ *) % 33.06/33.25 assert (zenon_L73_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H5d zenon_H41 zenon_H4c zenon_H126 zenon_H11e zenon_H5c zenon_H5e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4b | zenon_intro zenon_H5f ]. % 33.06/33.25 apply (zenon_L11_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H51 | zenon_intro zenon_H60 ]. % 33.06/33.25 apply (zenon_L72_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H56 | zenon_intro zenon_H61 ]. % 33.06/33.25 exact (zenon_H5c zenon_H56). % 33.06/33.25 exact (zenon_H5e zenon_H61). % 33.06/33.25 (* end of lemma zenon_L73_ *) % 33.06/33.25 assert (zenon_L74_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H69 zenon_H33 zenon_H3a zenon_H128 zenon_Hbf zenon_H8e zenon_H123 zenon_H89 zenon_H11f zenon_H3b zenon_H3f zenon_H4f zenon_Hce zenon_H6a zenon_Hc6 zenon_H31 zenon_H34 zenon_H5d zenon_H41 zenon_H4c zenon_H126 zenon_H5c zenon_H5e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.25 apply (zenon_L7_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.25 exact (zenon_H6a zenon_H6d). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.25 apply (zenon_L8_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H1f | zenon_intro zenon_H129 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 33.06/33.25 apply (zenon_L71_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd1 ]. % 33.06/33.25 apply (zenon_L34_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbe ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_L33_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H6d | zenon_intro zenon_H12a ]. % 33.06/33.25 exact (zenon_H6a zenon_H6d). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H11e ]. % 33.06/33.25 apply (zenon_L34_); trivial. % 33.06/33.25 apply (zenon_L73_); trivial. % 33.06/33.25 (* end of lemma zenon_L74_ *) % 33.06/33.25 assert (zenon_L75_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H75 zenon_H76 zenon_Hdc zenon_H9e zenon_H10b zenon_Hd2 zenon_H116 zenon_H79 zenon_H15 zenon_H13 zenon_H1b zenon_H1a zenon_H21 zenon_H20 zenon_H1e zenon_H5e zenon_H5c zenon_H126 zenon_H4c zenon_H41 zenon_H5d zenon_H34 zenon_H31 zenon_Hc6 zenon_H6a zenon_Hce zenon_H4f zenon_H3f zenon_H11f zenon_H89 zenon_H123 zenon_H8e zenon_Hbf zenon_H128 zenon_H3a zenon_H33 zenon_H69 zenon_H70. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.25 exact (zenon_H76 zenon_H7b). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.25 apply (zenon_L67_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.25 apply (zenon_L9_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7e ]. % 33.06/33.25 apply (zenon_L2_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H1f | zenon_intro zenon_H7f ]. % 33.06/33.25 apply (zenon_L4_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H3b | zenon_intro zenon_H6f ]. % 33.06/33.25 apply (zenon_L74_); trivial. % 33.06/33.25 apply (zenon_L18_); trivial. % 33.06/33.25 (* end of lemma zenon_L75_ *) % 33.06/33.25 assert (zenon_L76_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.25 do 0 intro. intros zenon_H9d zenon_H68 zenon_H41. % 33.06/33.25 cut (((op1 (e12) (e12)) = (e10)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 33.06/33.25 intro zenon_D_pnotp. % 33.06/33.25 apply zenon_H9d. % 33.06/33.25 rewrite <- zenon_D_pnotp. % 33.06/33.25 exact zenon_H68. % 33.06/33.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 33.06/33.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H90. apply refl_equal. % 33.06/33.25 apply zenon_H42. apply sym_equal. exact zenon_H41. % 33.06/33.25 (* end of lemma zenon_L76_ *) % 33.06/33.25 assert (zenon_L77_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 33.06/33.25 do 0 intro. intros zenon_Ha4 zenon_H41 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d zenon_H9f. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.25 apply (zenon_L76_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.25 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.25 apply (zenon_L27_); trivial. % 33.06/33.25 (* end of lemma zenon_L77_ *) % 33.06/33.25 assert (zenon_L78_ : ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H12b zenon_H68 zenon_H9d zenon_Hf6 zenon_H57 zenon_H13 zenon_H31 zenon_He3 zenon_H94 zenon_H111. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.25 apply (zenon_L65_); trivial. % 33.06/33.25 apply (zenon_L76_); trivial. % 33.06/33.25 (* end of lemma zenon_L78_ *) % 33.06/33.25 assert (zenon_L79_ : ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H87 zenon_H12d zenon_H5e zenon_H12e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H80 | zenon_intro zenon_H130 ]. % 33.06/33.25 exact (zenon_H87 zenon_H80). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 33.06/33.25 exact (zenon_H12d zenon_H132). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9f | zenon_intro zenon_H61 ]. % 33.06/33.25 exact (zenon_H12f zenon_H9f). % 33.06/33.25 exact (zenon_H5e zenon_H61). % 33.06/33.25 apply (zenon_L14_); trivial. % 33.06/33.25 (* end of lemma zenon_L79_ *) % 33.06/33.25 assert (zenon_L80_ : ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H133 zenon_H6e zenon_He0 zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H4f zenon_H50 zenon_H134. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.25 apply (zenon_L79_); trivial. % 33.06/33.25 apply (zenon_L12_); trivial. % 33.06/33.25 apply (zenon_L52_); trivial. % 33.06/33.25 (* end of lemma zenon_L80_ *) % 33.06/33.25 assert (zenon_L81_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H3b zenon_H3a zenon_H133 zenon_H6e zenon_He0 zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H4f zenon_H134. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.25 apply (zenon_L7_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.25 exact (zenon_H6a zenon_H6d). % 33.06/33.25 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.25 apply (zenon_L8_); trivial. % 33.06/33.25 apply (zenon_L80_); trivial. % 33.06/33.25 (* end of lemma zenon_L81_ *) % 33.06/33.25 assert (zenon_L82_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H79 zenon_H15 zenon_H1b zenon_H1a zenon_H21 zenon_H20 zenon_H1e zenon_H134 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13 zenon_H12c zenon_He0 zenon_H133 zenon_H3a zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H6e zenon_H70. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H14 | zenon_intro zenon_H7e ]. % 33.06/33.25 apply (zenon_L2_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H1f | zenon_intro zenon_H7f ]. % 33.06/33.25 apply (zenon_L4_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H3b | zenon_intro zenon_H6f ]. % 33.06/33.25 apply (zenon_L81_); trivial. % 33.06/33.25 apply (zenon_L18_); trivial. % 33.06/33.25 (* end of lemma zenon_L82_ *) % 33.06/33.25 assert (zenon_L83_ : ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H135 zenon_H15 zenon_H1e zenon_H1b zenon_H1a zenon_H21 zenon_H20 zenon_H69 zenon_H134 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_H12c zenon_He0 zenon_H133 zenon_H3a zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H70 zenon_H79 zenon_H13. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.25 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.25 apply (zenon_L82_); trivial. % 33.06/33.25 (* end of lemma zenon_L83_ *) % 33.06/33.25 assert (zenon_L84_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H136 zenon_Hb4 zenon_H81 zenon_Hb8 zenon_Hf9 zenon_Haf zenon_Hfe zenon_H102 zenon_H62 zenon_Hda zenon_Hdd zenon_Hdf zenon_Ha3 zenon_Hd5 zenon_Hd8 zenon_H43 zenon_Hf2 zenon_H10a zenon_Ha2 zenon_H75 zenon_Hce zenon_Hbf zenon_H8e zenon_H89 zenon_H11f zenon_H123 zenon_H5d zenon_H126 zenon_H4c zenon_H128 zenon_H3f zenon_Hd2 zenon_Hc6 zenon_Hdc zenon_H116 zenon_H76 zenon_Ha4 zenon_H9d zenon_Hf6 zenon_He3 zenon_H94 zenon_H15 zenon_H1e zenon_H1b zenon_H1a zenon_H21 zenon_H20 zenon_H69 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_He0 zenon_H3a zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H70 zenon_H79 zenon_H13. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.25 apply (zenon_L19_); trivial. % 33.06/33.25 apply (zenon_L20_); trivial. % 33.06/33.25 apply (zenon_L21_); trivial. % 33.06/33.25 apply (zenon_L28_); trivial. % 33.06/33.25 apply (zenon_L29_); trivial. % 33.06/33.25 apply (zenon_L30_); trivial. % 33.06/33.25 apply (zenon_L31_); trivial. % 33.06/33.25 apply (zenon_L2_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H18 | zenon_intro zenon_H7d ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f ]. % 33.06/33.25 apply (zenon_L62_); trivial. % 33.06/33.25 apply (zenon_L4_); trivial. % 33.06/33.25 apply (zenon_L63_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.25 apply (zenon_L64_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.25 apply (zenon_L65_); trivial. % 33.06/33.25 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H5c | zenon_intro zenon_H9f ]. % 33.06/33.25 apply (zenon_L75_); trivial. % 33.06/33.25 apply (zenon_L77_); trivial. % 33.06/33.25 apply (zenon_L22_); trivial. % 33.06/33.25 apply (zenon_L78_); trivial. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.25 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.25 apply (zenon_L83_); trivial. % 33.06/33.25 (* end of lemma zenon_L84_ *) % 33.06/33.25 assert (zenon_L85_ : (~((e20) = (e20))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H1a7. % 33.06/33.25 apply zenon_H1a7. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L85_ *) % 33.06/33.25 assert (zenon_L86_ : (~((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H1a8 zenon_H1a9. % 33.06/33.25 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.06/33.25 cut (((op2 (op2 (e20) (e20)) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 33.06/33.25 congruence. % 33.06/33.25 apply zenon_H1aa. apply sym_equal. exact zenon_H1a9. % 33.06/33.25 apply zenon_H1a7. apply refl_equal. % 33.06/33.25 (* end of lemma zenon_L86_ *) % 33.06/33.25 assert (zenon_L87_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.06/33.25 do 0 intro. intros zenon_H1b zenon_H1ab zenon_H1a9 zenon_H1ac. % 33.06/33.26 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1ac. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ad. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1af. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.26 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1b0. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ad. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1b1 zenon_H1ab). % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply (zenon_L86_); trivial. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L87_ *) % 33.06/33.26 assert (zenon_L88_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e20) = (e21))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H1b4. % 33.06/33.26 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 33.06/33.26 cut (((e21) = (e21)) = ((e20) = (e21))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1b4. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b5. % 33.06/33.26 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 33.06/33.26 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((op2 (e20) (e23)) = (e20)) = ((e21) = (e20))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1b7. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b2. % 33.06/33.26 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.06/33.26 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1b8 zenon_H1b3). % 33.06/33.26 apply zenon_H1a7. apply refl_equal. % 33.06/33.26 apply zenon_H1b6. apply refl_equal. % 33.06/33.26 apply zenon_H1b6. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L88_ *) % 33.06/33.26 assert (zenon_L89_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1b9 zenon_H1ba zenon_H1bb. % 33.06/33.26 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1b9. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ba. % 33.06/33.26 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bc]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1bd. apply refl_equal. % 33.06/33.26 apply zenon_H1bc. apply sym_equal. exact zenon_H1bb. % 33.06/33.26 (* end of lemma zenon_L89_ *) % 33.06/33.26 assert (zenon_L90_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1be zenon_H1bf. % 33.06/33.26 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.06/33.26 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.06/33.26 apply zenon_H1a7. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L90_ *) % 33.06/33.26 assert (zenon_L91_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1a9 zenon_H1c1 zenon_H1bf zenon_H1c2. % 33.06/33.26 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c4 ]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1c2. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1c3. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e23)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1c5. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1a9. % 33.06/33.26 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.26 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c4 ]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1c6. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1c3. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1c7 zenon_H1c1). % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 apply (zenon_L90_); trivial. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L91_ *) % 33.06/33.26 assert (zenon_L92_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e20))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1c8 zenon_H1c9 zenon_H1ba zenon_H1b9 zenon_H1c2 zenon_H1bf zenon_H1a9 zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1cb ]. % 33.06/33.26 exact (zenon_H1c9 zenon_H1cc). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1cd ]. % 33.06/33.26 apply (zenon_L89_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L91_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L92_ *) % 33.06/33.26 assert (zenon_L93_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1b zenon_H1cf zenon_H1a9 zenon_H1d0. % 33.06/33.26 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d2 ]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d0. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1d1. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d3. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.26 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d2 ]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d4. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1d1. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d5]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1d5 zenon_H1cf). % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply (zenon_L86_); trivial. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L93_ *) % 33.06/33.26 assert (zenon_L94_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bb zenon_H1d6 zenon_H1d7. % 33.06/33.26 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c4 ]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d7. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1c3. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d8]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d8. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bb. % 33.06/33.26 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 33.06/33.26 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 apply zenon_H1d9. apply sym_equal. exact zenon_H1d6. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 apply zenon_H1c4. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L94_ *) % 33.06/33.26 assert (zenon_L95_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e23)) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1da zenon_H1b4 zenon_H1b2 zenon_H1ca zenon_H1bf zenon_H1c2 zenon_H1b9 zenon_H1c9 zenon_H1c8 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H1d6 zenon_H1d7. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1db ]. % 33.06/33.26 apply (zenon_L88_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1dc ]. % 33.06/33.26 apply (zenon_L92_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1bb ]. % 33.06/33.26 apply (zenon_L93_); trivial. % 33.06/33.26 apply (zenon_L94_); trivial. % 33.06/33.26 (* end of lemma zenon_L95_ *) % 33.06/33.26 assert (zenon_L96_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e20))) -> (~((op2 (e22) (e23)) = (e20))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1dd zenon_H1d7 zenon_H1d6 zenon_H1b zenon_H1a9 zenon_H1d0 zenon_H1c8 zenon_H1b9 zenon_H1c2 zenon_H1bf zenon_H1ca zenon_H1b4 zenon_H1da zenon_H1de zenon_H1df zenon_H1c9. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.06/33.26 apply (zenon_L95_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.06/33.26 exact (zenon_H1de zenon_H1e2). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.06/33.26 exact (zenon_H1df zenon_H1e3). % 33.06/33.26 exact (zenon_H1c9 zenon_H1cc). % 33.06/33.26 (* end of lemma zenon_L96_ *) % 33.06/33.26 assert (zenon_L97_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H1e4 zenon_H1e5. % 33.06/33.26 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1e5. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1e6. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1e8. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1ea. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1e6. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 33.06/33.26 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1eb zenon_H1e4). % 33.06/33.26 apply zenon_H1e7. apply refl_equal. % 33.06/33.26 apply zenon_H1e7. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H1e7. apply refl_equal. % 33.06/33.26 apply zenon_H1e7. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L97_ *) % 33.06/33.26 assert (zenon_L98_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H1ec zenon_H1ed. % 33.06/33.26 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1ed. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ee. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1f0. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1f1. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ee. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1f2 zenon_H1ec). % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L98_ *) % 33.06/33.26 assert (zenon_L99_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H1f3 zenon_H1f4. % 33.06/33.26 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1f4. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1f5. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1f7. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e23) = (op2 (e21) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1f8. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1f5. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H1f9 zenon_H1f3). % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L99_ *) % 33.06/33.26 assert (zenon_L100_ : (((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e20) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e20) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e20)) = (e20)))\/((op2 (e21) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e21) (e22)) = (e20)))\/((op2 (e21) (e20)) = (e22)))/\(((~((op2 (e21) (e23)) = (e20)))\/((op2 (e21) (e20)) = (e23)))/\(((~((op2 (e22) (e20)) = (e20)))\/((op2 (e22) (e20)) = (e20)))/\(((~((op2 (e22) (e21)) = (e20)))\/((op2 (e22) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\(((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23)))/\(((~((op2 (e23) (e20)) = (e20)))\/((op2 (e23) (e20)) = (e20)))/\(((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21)))/\(((~((op2 (e23) (e22)) = (e20)))\/((op2 (e23) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1fa zenon_H1f4 zenon_H1e5 zenon_H136 zenon_H12e zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_H10a zenon_Hf2 zenon_Hf6 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_Hb8 zenon_Haf zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H8e zenon_H81 zenon_H76 zenon_H79 zenon_H70 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H3a zenon_H62 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H3f zenon_H43 zenon_H69 zenon_H21 zenon_H1a zenon_H1b zenon_H1e zenon_H13 zenon_H15 zenon_H75 zenon_H89 zenon_Hb4 zenon_H1fb zenon_H1ac zenon_H1a9 zenon_H1dd zenon_H1b4 zenon_H1c8 zenon_H1ca zenon_H1bf zenon_H1c2 zenon_H1b9 zenon_H1d0 zenon_H1d7 zenon_H1da zenon_H1fc zenon_H1ed. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.26 apply (zenon_L84_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.26 exact (zenon_H1fb zenon_H21d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_L96_); trivial. % 33.06/33.26 apply (zenon_L97_); trivial. % 33.06/33.26 apply (zenon_L98_); trivial. % 33.06/33.26 apply (zenon_L99_); trivial. % 33.06/33.26 (* end of lemma zenon_L100_ *) % 33.06/33.26 assert (zenon_L101_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H21e zenon_H21f zenon_H220. % 33.06/33.26 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H21e. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H21f. % 33.06/33.26 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 33.06/33.26 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H222. apply refl_equal. % 33.06/33.26 apply zenon_H221. apply sym_equal. exact zenon_H220. % 33.06/33.26 (* end of lemma zenon_L101_ *) % 33.06/33.26 assert (zenon_L102_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e21)) = (e21))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (e21))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H223 zenon_H224 zenon_H225 zenon_H226 zenon_H21e zenon_H1fb zenon_H227 zenon_H228 zenon_H1b8. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 33.06/33.26 exact (zenon_H224 zenon_H22a). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20 | zenon_intro zenon_H22b ]. % 33.06/33.26 exact (zenon_H225 zenon_H20). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H21f | zenon_intro zenon_H1b3 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.06/33.26 exact (zenon_H227 zenon_H22d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.06/33.26 exact (zenon_H1fb zenon_H21d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.06/33.26 apply (zenon_L101_); trivial. % 33.06/33.26 exact (zenon_H226 zenon_H1ba). % 33.06/33.26 exact (zenon_H1b8 zenon_H1b3). % 33.06/33.26 (* end of lemma zenon_L102_ *) % 33.06/33.26 assert (zenon_L103_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1b zenon_H22f zenon_H1a9 zenon_H230. % 33.06/33.26 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H230. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H231. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H233. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.26 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H234]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H234. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H231. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H235]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H235 zenon_H22f). % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply (zenon_L86_); trivial. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L103_ *) % 33.06/33.26 assert (zenon_L104_ : ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H236 zenon_H1ac zenon_H237 zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0 zenon_H238. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1ab ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.06/33.26 exact (zenon_H237 zenon_H23a). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.06/33.26 exact (zenon_H1b1 zenon_H1ab). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.06/33.26 apply (zenon_L103_); trivial. % 33.06/33.26 apply (zenon_L93_); trivial. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 (* end of lemma zenon_L104_ *) % 33.06/33.26 assert (zenon_L105_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H23c zenon_H23d. % 33.06/33.26 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.26 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H23d. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H23e. % 33.06/33.26 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.26 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H240]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H240. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.26 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H241. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H23e. % 33.06/33.26 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.26 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H242 zenon_H23c). % 33.06/33.26 apply zenon_H23f. apply refl_equal. % 33.06/33.26 apply zenon_H23f. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H23f. apply refl_equal. % 33.06/33.26 apply zenon_H23f. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L105_ *) % 33.06/33.26 assert (zenon_L106_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H243 zenon_H244. % 33.06/33.26 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H245 | zenon_intro zenon_H1bd ]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e20)) = (op2 (e21) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H244. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H245. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e21) (e23)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H246. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H245 | zenon_intro zenon_H1bd ]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H247. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H245. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H248 zenon_H243). % 33.06/33.26 apply zenon_H1bd. apply refl_equal. % 33.06/33.26 apply zenon_H1bd. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H1bd. apply refl_equal. % 33.06/33.26 apply zenon_H1bd. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L106_ *) % 33.06/33.26 assert (zenon_L107_ : (~((op2 (e20) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H249 zenon_H243 zenon_H1bf zenon_H24a. % 33.06/33.26 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H249. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H243. % 33.06/33.26 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 33.06/33.26 cut (((op2 (e21) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H24c | zenon_intro zenon_H1e9 ]. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e21) (e23)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H246. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H24c. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H244]. % 33.06/33.26 congruence. % 33.06/33.26 apply (zenon_L106_); trivial. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H24b. apply sym_equal. exact zenon_H24a. % 33.06/33.26 (* end of lemma zenon_L107_ *) % 33.06/33.26 assert (zenon_L108_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H24d zenon_H24e zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H24d. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 33.06/33.26 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H250 | zenon_intro zenon_H251 ]. % 33.06/33.26 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H24f. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H250. % 33.06/33.26 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 33.06/33.26 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H252]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H252 zenon_H24e). % 33.06/33.26 apply zenon_H251. apply refl_equal. % 33.06/33.26 apply zenon_H251. apply refl_equal. % 33.06/33.26 apply (zenon_L107_); trivial. % 33.06/33.26 (* end of lemma zenon_L108_ *) % 33.06/33.26 assert (zenon_L109_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H253 zenon_H254 zenon_H255. % 33.06/33.26 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H253. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H254. % 33.06/33.26 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply zenon_H256. apply sym_equal. exact zenon_H255. % 33.06/33.26 (* end of lemma zenon_L109_ *) % 33.06/33.26 assert (zenon_L110_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e22)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H257 zenon_H258. % 33.06/33.26 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e20)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H258. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H231. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H259. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e23) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H25a. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H231. % 33.06/33.26 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 33.06/33.26 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H25b zenon_H257). % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 apply zenon_H232. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L110_ *) % 33.06/33.26 assert (zenon_L111_ : ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H25c zenon_H1bf zenon_H257 zenon_H25d. % 33.06/33.26 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d2 ]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H25d. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1d1. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25e]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H25e. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 33.06/33.26 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25f]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d2 ]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H25f. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1d1. % 33.06/33.26 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 33.06/33.26 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H260 zenon_H25c). % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply (zenon_L110_); trivial. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 apply zenon_H1d2. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L111_ *) % 33.06/33.26 assert (zenon_L112_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H25c zenon_H1bf zenon_H25d. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H255 | zenon_intro zenon_H263 ]. % 33.06/33.26 apply (zenon_L109_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H22f | zenon_intro zenon_H264 ]. % 33.06/33.26 apply (zenon_L103_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H257 ]. % 33.06/33.26 exact (zenon_H262 zenon_H265). % 33.06/33.26 apply (zenon_L111_); trivial. % 33.06/33.26 (* end of lemma zenon_L112_ *) % 33.06/33.26 assert (zenon_L113_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H24e zenon_H24d zenon_H25d zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.26 apply (zenon_L105_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.26 apply (zenon_L108_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L112_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L113_ *) % 33.06/33.26 assert (zenon_L114_ : ((op2 (e23) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H269 zenon_H1bf zenon_H257 zenon_H26a. % 33.06/33.26 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H26a. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H26b. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26d]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H26d. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 33.06/33.26 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26e]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H26e. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H26b. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H26f zenon_H269). % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply (zenon_L110_); trivial. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L114_ *) % 33.06/33.26 assert (zenon_L115_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H269 zenon_H1bf zenon_H26a. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H255 | zenon_intro zenon_H263 ]. % 33.06/33.26 apply (zenon_L109_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H22f | zenon_intro zenon_H264 ]. % 33.06/33.26 apply (zenon_L103_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H257 ]. % 33.06/33.26 exact (zenon_H262 zenon_H265). % 33.06/33.26 apply (zenon_L114_); trivial. % 33.06/33.26 (* end of lemma zenon_L115_ *) % 33.06/33.26 assert (zenon_L116_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H25d zenon_H24d zenon_H24e zenon_H23d zenon_H266 zenon_H26a zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.26 apply (zenon_L97_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.26 apply (zenon_L113_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L115_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L116_ *) % 33.06/33.26 assert (zenon_L117_ : ((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H273 zenon_H1e5 zenon_H1bf zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H24e zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac zenon_H236. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.06/33.26 apply (zenon_L104_); trivial. % 33.06/33.26 apply (zenon_L116_); trivial. % 33.06/33.26 (* end of lemma zenon_L117_ *) % 33.06/33.26 assert (zenon_L118_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H274 zenon_H275 zenon_H276. % 33.06/33.26 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H274. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H275. % 33.06/33.26 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H277. apply sym_equal. exact zenon_H276. % 33.06/33.26 (* end of lemma zenon_L118_ *) % 33.06/33.26 assert (zenon_L119_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H278 zenon_H1b zenon_H22d zenon_H1a9. % 33.06/33.26 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H278. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.26 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H279]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e21) = (op2 (e21) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H279. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1f5. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H227 zenon_H22d). % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply (zenon_L86_); trivial. % 33.06/33.26 (* end of lemma zenon_L119_ *) % 33.06/33.26 assert (zenon_L120_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H27a zenon_H1a9 zenon_H27b zenon_H1bf. % 33.06/33.26 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H27a. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1a9. % 33.06/33.26 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.26 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H27c]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f6 ]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H27c. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1f5. % 33.06/33.26 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 33.06/33.26 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H27d zenon_H27b). % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply zenon_H1f6. apply refl_equal. % 33.06/33.26 apply (zenon_L90_); trivial. % 33.06/33.26 (* end of lemma zenon_L120_ *) % 33.06/33.26 assert (zenon_L121_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H27e zenon_H276 zenon_H274 zenon_H1b zenon_H278 zenon_H1a9 zenon_H27a zenon_H1bf zenon_H1f4. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H275 | zenon_intro zenon_H27f ]. % 33.06/33.26 apply (zenon_L118_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H22d | zenon_intro zenon_H280 ]. % 33.06/33.26 apply (zenon_L119_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H27b | zenon_intro zenon_H1f3 ]. % 33.06/33.26 apply (zenon_L120_); trivial. % 33.06/33.26 apply (zenon_L99_); trivial. % 33.06/33.26 (* end of lemma zenon_L121_ *) % 33.06/33.26 assert (zenon_L122_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1bf zenon_H281 zenon_H282. % 33.06/33.26 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H283 | zenon_intro zenon_H284 ]. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H282. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H283. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284]. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H285. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.26 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H283 | zenon_intro zenon_H284 ]. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H286. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H283. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284]. % 33.06/33.26 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H287 zenon_H281). % 33.06/33.26 apply zenon_H284. apply refl_equal. % 33.06/33.26 apply zenon_H284. apply refl_equal. % 33.06/33.26 apply zenon_H1e9. apply refl_equal. % 33.06/33.26 apply zenon_H284. apply refl_equal. % 33.06/33.26 apply zenon_H284. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L122_ *) % 33.06/33.26 assert (zenon_L123_ : ((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23))) -> ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H288 zenon_H282 zenon_H289 zenon_H236 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0 zenon_H238 zenon_H270 zenon_H26a zenon_H23d zenon_H24d zenon_H261 zenon_H25d zenon_H262 zenon_H253 zenon_H1ca zenon_H266 zenon_H1bf zenon_H1e5 zenon_H273 zenon_H224 zenon_H225 zenon_H228 zenon_H21e zenon_H1fb zenon_H223 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H28a. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H281 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H227 | zenon_intro zenon_H276 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H226 | zenon_intro zenon_H24e ]. % 33.06/33.26 apply (zenon_L102_); trivial. % 33.06/33.26 apply (zenon_L117_); trivial. % 33.06/33.26 apply (zenon_L121_); trivial. % 33.06/33.26 apply (zenon_L122_); trivial. % 33.06/33.26 (* end of lemma zenon_L123_ *) % 33.06/33.26 assert (zenon_L124_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H28b zenon_H28c zenon_H254. % 33.06/33.26 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H28b. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H28c. % 33.06/33.26 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 33.06/33.26 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H284. apply refl_equal. % 33.06/33.26 apply zenon_H28d. apply sym_equal. exact zenon_H254. % 33.06/33.26 (* end of lemma zenon_L124_ *) % 33.06/33.26 assert (zenon_L125_ : ((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H273 zenon_H28c zenon_H28b zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac zenon_H236. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.06/33.26 apply (zenon_L104_); trivial. % 33.06/33.26 apply (zenon_L124_); trivial. % 33.06/33.26 (* end of lemma zenon_L125_ *) % 33.06/33.26 assert (zenon_L126_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H28e zenon_H28b zenon_H282 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0 zenon_H238 zenon_H270 zenon_H26a zenon_H23d zenon_H24d zenon_H261 zenon_H25d zenon_H262 zenon_H253 zenon_H1ca zenon_H266 zenon_H1bf zenon_H1e5 zenon_H228 zenon_H21e zenon_H1fb zenon_H223 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H136 zenon_H12e zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_H10a zenon_Hf2 zenon_Hf6 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_Hb8 zenon_Haf zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H8e zenon_H81 zenon_H76 zenon_H79 zenon_H70 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H3a zenon_H62 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H3f zenon_H43 zenon_H69 zenon_H21 zenon_H1a zenon_H1e zenon_H13 zenon_H15 zenon_H75 zenon_H89 zenon_Hb4. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.06/33.26 apply (zenon_L123_); trivial. % 33.06/33.26 apply (zenon_L84_); trivial. % 33.06/33.26 apply (zenon_L125_); trivial. % 33.06/33.26 (* end of lemma zenon_L126_ *) % 33.06/33.26 assert (zenon_L127_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H29e zenon_H1a9 zenon_H29f zenon_H1bf. % 33.06/33.26 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H29e. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1a9. % 33.06/33.26 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.26 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a0]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2a0. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ee. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2a1]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2a1 zenon_H29f). % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply (zenon_L90_); trivial. % 33.06/33.26 (* end of lemma zenon_L127_ *) % 33.06/33.26 assert (zenon_L128_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2a2 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2a3 zenon_H262 zenon_H2a4. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.06/33.26 apply (zenon_L127_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.06/33.26 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.06/33.26 exact (zenon_H262 zenon_H265). % 33.06/33.26 exact (zenon_H2a4 zenon_H2a8). % 33.06/33.26 (* end of lemma zenon_L128_ *) % 33.06/33.26 assert (zenon_L129_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1a9 zenon_H2a9 zenon_H1bf zenon_H2aa. % 33.06/33.26 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2aa. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2ab. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2ad. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1a9. % 33.06/33.26 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.26 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2ae. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2ab. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2af]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2af zenon_H2a9). % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply (zenon_L90_); trivial. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L129_ *) % 33.06/33.26 assert (zenon_L130_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1a9 zenon_H2b0 zenon_H1bf zenon_H2b1. % 33.06/33.26 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2b1. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H26b. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2b2. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1a9. % 33.06/33.26 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.26 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b3]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2b3. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H26b. % 33.06/33.26 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.26 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2b4]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2b4 zenon_H2b0). % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply (zenon_L90_); trivial. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 apply zenon_H26c. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L130_ *) % 33.06/33.26 assert (zenon_L131_ : ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2b5 zenon_H2b1 zenon_H2b6 zenon_H2aa zenon_H1a9 zenon_H1bf zenon_H1c2 zenon_H2b7. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b0 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2b8 ]. % 33.06/33.26 exact (zenon_H2b6 zenon_H2b9). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2ba ]. % 33.06/33.26 apply (zenon_L129_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H1c1 ]. % 33.06/33.26 exact (zenon_H2b4 zenon_H2b0). % 33.06/33.26 apply (zenon_L91_); trivial. % 33.06/33.26 apply (zenon_L130_); trivial. % 33.06/33.26 (* end of lemma zenon_L131_ *) % 33.06/33.26 assert (zenon_L132_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2bb zenon_H2bc zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2bb. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 33.06/33.26 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bd]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2bd. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1ad. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2be zenon_H2bc). % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply (zenon_L107_); trivial. % 33.06/33.26 (* end of lemma zenon_L132_ *) % 33.06/33.26 assert (zenon_L133_ : (((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)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2bf zenon_H28c zenon_H28b zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2a3 zenon_H2bb zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.06/33.26 apply (zenon_L124_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.06/33.26 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.26 apply (zenon_L132_); trivial. % 33.06/33.26 (* end of lemma zenon_L133_ *) % 33.06/33.26 assert (zenon_L134_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((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) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H2bb zenon_H2a3 zenon_H1b zenon_H1a9 zenon_H1ac zenon_H28b zenon_H28c zenon_H2bf zenon_H25d zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.26 apply (zenon_L105_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.26 apply (zenon_L133_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L111_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L134_ *) % 33.06/33.26 assert (zenon_L135_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((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)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bf zenon_H28c zenon_H28b zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2a3 zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.26 apply (zenon_L97_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.26 apply (zenon_L134_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L114_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L135_ *) % 33.06/33.26 assert (zenon_L136_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2c2 zenon_H2c3 zenon_H1bf zenon_H257. % 33.06/33.26 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2c2. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1bf. % 33.06/33.26 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 33.06/33.26 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c4]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c6 ]. % 33.06/33.26 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2c4. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2c5. % 33.06/33.26 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 33.06/33.26 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c7]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2c7 zenon_H2c3). % 33.06/33.26 apply zenon_H2c6. apply refl_equal. % 33.06/33.26 apply zenon_H2c6. apply refl_equal. % 33.06/33.26 apply (zenon_L110_); trivial. % 33.06/33.26 (* end of lemma zenon_L136_ *) % 33.06/33.26 assert (zenon_L137_ : (~((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e20) (e21)) = (e21)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2c8 zenon_H23a zenon_H1a9 zenon_H20. % 33.06/33.26 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e20) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2c8. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H23a. % 33.06/33.26 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e22) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2ca. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2cb. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.26 congruence. % 33.06/33.26 apply (zenon_L86_); trivial. % 33.06/33.26 apply zenon_H2cc. apply refl_equal. % 33.06/33.26 apply zenon_H2cc. apply refl_equal. % 33.06/33.26 apply zenon_H2c9. apply sym_equal. exact zenon_H20. % 33.06/33.26 (* end of lemma zenon_L137_ *) % 33.06/33.26 assert (zenon_L138_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1b zenon_H1d6 zenon_H23a zenon_H20 zenon_H1a9 zenon_H2cd. % 33.06/33.26 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2cd. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2ab. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ce]. % 33.06/33.26 congruence. % 33.06/33.26 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2ce. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H1b. % 33.06/33.26 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 33.06/33.26 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 33.06/33.26 congruence. % 33.06/33.26 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1d9. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2ab. % 33.06/33.26 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 33.06/33.26 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2cf]. % 33.06/33.26 congruence. % 33.06/33.26 exact (zenon_H2cf zenon_H1d6). % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply (zenon_L137_); trivial. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 apply zenon_H2ac. apply refl_equal. % 33.06/33.26 (* end of lemma zenon_L138_ *) % 33.06/33.26 assert (zenon_L139_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e20) (e21)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2d0 zenon_H243 zenon_H24a zenon_H2bb zenon_H2a3 zenon_H1ac zenon_H28b zenon_H2bf zenon_H2cd zenon_H1a9 zenon_H23a zenon_H1d6 zenon_H1b zenon_H2d1 zenon_H1bf zenon_H282. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H28c | zenon_intro zenon_H2d2 ]. % 33.06/33.26 apply (zenon_L133_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H20 | zenon_intro zenon_H2d3 ]. % 33.06/33.26 apply (zenon_L138_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H281 ]. % 33.06/33.26 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.26 apply (zenon_L122_); trivial. % 33.06/33.26 (* end of lemma zenon_L139_ *) % 33.06/33.26 assert (zenon_L140_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H282 zenon_H2d1 zenon_H1b zenon_H1d6 zenon_H23a zenon_H1a9 zenon_H2cd zenon_H2bf zenon_H28b zenon_H1ac zenon_H2a3 zenon_H2bb zenon_H243 zenon_H2d0 zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.26 apply (zenon_L97_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.26 apply (zenon_L139_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L114_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L140_ *) % 33.06/33.26 assert (zenon_L141_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H238 zenon_H1ca zenon_H1bf zenon_H257 zenon_H26a zenon_H2d0 zenon_H243 zenon_H2bb zenon_H2a3 zenon_H28b zenon_H2bf zenon_H2cd zenon_H1d6 zenon_H2d1 zenon_H282 zenon_H1e5 zenon_H270 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.06/33.26 apply (zenon_L140_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.06/33.26 apply (zenon_L103_); trivial. % 33.06/33.26 apply (zenon_L93_); trivial. % 33.06/33.26 (* end of lemma zenon_L141_ *) % 33.06/33.26 assert (zenon_L142_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2d5 zenon_H1f4 zenon_H261 zenon_H254 zenon_H253 zenon_H262 zenon_H266 zenon_H23d zenon_H24d zenon_H25d zenon_H2c2 zenon_H238 zenon_H1ca zenon_H1bf zenon_H257 zenon_H26a zenon_H2d0 zenon_H2bb zenon_H2a3 zenon_H28b zenon_H2bf zenon_H2cd zenon_H1d6 zenon_H2d1 zenon_H282 zenon_H1e5 zenon_H270 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.06/33.26 apply (zenon_L99_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.06/33.26 apply (zenon_L116_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.06/33.26 apply (zenon_L136_); trivial. % 33.06/33.26 apply (zenon_L141_); trivial. % 33.06/33.26 (* end of lemma zenon_L142_ *) % 33.06/33.26 assert (zenon_L143_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2bb zenon_H254 zenon_H2d8. % 33.06/33.26 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2bb. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H254. % 33.06/33.26 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 33.06/33.26 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1ae. apply refl_equal. % 33.06/33.26 apply zenon_H2d9. apply sym_equal. exact zenon_H2d8. % 33.06/33.26 (* end of lemma zenon_L143_ *) % 33.06/33.26 assert (zenon_L144_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H2bb zenon_H2a3 zenon_H1b zenon_H1a9 zenon_H1ac zenon_H2d8 zenon_H2bf zenon_H25d zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.26 apply (zenon_L105_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.06/33.26 apply (zenon_L143_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.06/33.26 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.26 apply (zenon_L132_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L111_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L144_ *) % 33.06/33.26 assert (zenon_L145_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bf zenon_H2d8 zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2a3 zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.26 apply (zenon_L97_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.26 apply (zenon_L144_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.26 apply (zenon_L114_); trivial. % 33.06/33.26 exact (zenon_H1ca zenon_H1ce). % 33.06/33.26 (* end of lemma zenon_L145_ *) % 33.06/33.26 assert (zenon_L146_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H1ac zenon_H2da zenon_H254. % 33.06/33.26 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H1ac. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2da. % 33.06/33.26 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 33.06/33.26 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1ef. apply refl_equal. % 33.06/33.26 apply zenon_H28d. apply sym_equal. exact zenon_H254. % 33.06/33.26 (* end of lemma zenon_L146_ *) % 33.06/33.26 assert (zenon_L147_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2db zenon_H28b zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H27e zenon_H2da zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bf zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2a3 zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.26 apply (zenon_L135_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.26 apply (zenon_L121_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.26 apply (zenon_L146_); trivial. % 33.06/33.26 apply (zenon_L145_); trivial. % 33.06/33.26 (* end of lemma zenon_L147_ *) % 33.06/33.26 assert (zenon_L148_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2b1 zenon_H2de zenon_H2df. % 33.06/33.26 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 33.06/33.26 intro zenon_D_pnotp. % 33.06/33.26 apply zenon_H2b1. % 33.06/33.26 rewrite <- zenon_D_pnotp. % 33.06/33.26 exact zenon_H2de. % 33.06/33.26 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 33.06/33.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 33.06/33.26 congruence. % 33.06/33.26 apply zenon_H1e7. apply refl_equal. % 33.06/33.26 apply zenon_H2e0. apply sym_equal. exact zenon_H2df. % 33.06/33.26 (* end of lemma zenon_L148_ *) % 33.06/33.26 assert (zenon_L149_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> False). % 33.06/33.26 do 0 intro. intros zenon_H2e1 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2e2 zenon_Hb4 zenon_H89 zenon_H2e3 zenon_H27e zenon_H27a zenon_H278 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H274 zenon_H1fc zenon_H1f4 zenon_H24d zenon_H261 zenon_H230 zenon_H253 zenon_H2c2 zenon_H238 zenon_H1d0 zenon_H2d0 zenon_H282 zenon_H2d1 zenon_H2cd zenon_H2d5 zenon_H1fb zenon_H76 zenon_H79 zenon_H70 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H3a zenon_H62 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H3f zenon_H43 zenon_H69 zenon_H21 zenon_H1a zenon_H1e zenon_H13 zenon_H15 zenon_H75 zenon_H2db zenon_H2e4 zenon_H81 zenon_H8e zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_Haf zenon_Hb8 zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_Hf6 zenon_Hf2 zenon_H10a zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_H12e zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1 zenon_H2b5 zenon_H2e5. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.06/33.26 apply (zenon_L128_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.06/33.26 apply (zenon_L131_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.26 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.26 apply (zenon_L135_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.26 apply (zenon_L118_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.26 apply (zenon_L19_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.26 exact (zenon_H1fb zenon_H21d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_L142_); trivial. % 33.06/33.26 apply (zenon_L145_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.26 apply (zenon_L147_); trivial. % 33.06/33.26 apply (zenon_L148_); trivial. % 33.06/33.26 apply (zenon_L20_); trivial. % 33.06/33.26 apply (zenon_L21_); trivial. % 33.06/33.26 apply (zenon_L28_); trivial. % 33.06/33.26 apply (zenon_L29_); trivial. % 33.06/33.26 apply (zenon_L30_); trivial. % 33.06/33.26 apply (zenon_L31_); trivial. % 33.06/33.26 apply (zenon_L2_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H18 | zenon_intro zenon_H7d ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f ]. % 33.06/33.26 apply (zenon_L62_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.26 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.26 apply (zenon_L135_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.26 apply (zenon_L118_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.26 apply (zenon_L4_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.26 exact (zenon_H1fb zenon_H21d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_L142_); trivial. % 33.06/33.26 apply (zenon_L145_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.26 apply (zenon_L147_); trivial. % 33.06/33.26 apply (zenon_L148_); trivial. % 33.06/33.26 apply (zenon_L63_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.26 apply (zenon_L64_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.26 apply (zenon_L65_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H5c | zenon_intro zenon_H9f ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.26 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.26 apply (zenon_L135_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.26 apply (zenon_L118_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.26 apply (zenon_L75_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.26 exact (zenon_H1fb zenon_H21d). % 33.06/33.26 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.26 apply (zenon_L87_); trivial. % 33.06/33.26 apply (zenon_L142_); trivial. % 33.06/33.26 apply (zenon_L145_); trivial. % 33.06/33.26 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.26 apply (zenon_L147_); trivial. % 33.06/33.26 apply (zenon_L148_); trivial. % 33.06/33.26 apply (zenon_L27_); trivial. % 33.06/33.26 apply (zenon_L22_); trivial. % 33.06/33.26 apply (zenon_L78_); trivial. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.26 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.27 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.27 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.27 apply (zenon_L135_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.27 apply (zenon_L118_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.27 apply (zenon_L82_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.27 apply (zenon_L87_); trivial. % 33.06/33.27 apply (zenon_L142_); trivial. % 33.06/33.27 apply (zenon_L145_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.27 apply (zenon_L147_); trivial. % 33.06/33.27 apply (zenon_L148_); trivial. % 33.06/33.27 apply (zenon_L103_); trivial. % 33.06/33.27 (* end of lemma zenon_L149_ *) % 33.06/33.27 assert (zenon_L150_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H2ea zenon_H24d zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H276 | zenon_intro zenon_H2eb ]. % 33.06/33.27 apply (zenon_L118_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H21d | zenon_intro zenon_H2ec ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ed | zenon_intro zenon_H24e ]. % 33.06/33.27 exact (zenon_H2ea zenon_H2ed). % 33.06/33.27 apply (zenon_L108_); trivial. % 33.06/33.27 (* end of lemma zenon_L150_ *) % 33.06/33.27 assert (zenon_L151_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2e1 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2e2 zenon_H2e4 zenon_H2db zenon_H253 zenon_H230 zenon_H261 zenon_H1fb zenon_H2ea zenon_H24d zenon_H2e9 zenon_H274 zenon_H278 zenon_H27a zenon_H1f4 zenon_H27e zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H1b zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H2e3 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1 zenon_H2b5 zenon_H2e5. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.06/33.27 apply (zenon_L128_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.06/33.27 apply (zenon_L131_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.27 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.27 apply (zenon_L135_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.27 apply (zenon_L121_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.27 apply (zenon_L97_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.27 apply (zenon_L105_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.27 apply (zenon_L150_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.27 apply (zenon_L112_); trivial. % 33.06/33.27 exact (zenon_H1ca zenon_H1ce). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.27 apply (zenon_L114_); trivial. % 33.06/33.27 exact (zenon_H1ca zenon_H1ce). % 33.06/33.27 apply (zenon_L145_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.27 apply (zenon_L147_); trivial. % 33.06/33.27 apply (zenon_L148_); trivial. % 33.06/33.27 apply (zenon_L103_); trivial. % 33.06/33.27 (* end of lemma zenon_L151_ *) % 33.06/33.27 assert (zenon_L152_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2ee zenon_H21f zenon_H21e zenon_H2e5 zenon_H2b5 zenon_H2b1 zenon_H2aa zenon_H1c2 zenon_H2b7 zenon_H2e3 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H2e9 zenon_H24d zenon_H1fb zenon_H261 zenon_H230 zenon_H253 zenon_H2db zenon_H2e4 zenon_H2e2 zenon_H29e zenon_H1a9 zenon_H1bf zenon_H262 zenon_H2a2 zenon_H2e1. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.06/33.27 apply (zenon_L151_); trivial. % 33.06/33.27 apply (zenon_L101_); trivial. % 33.06/33.27 (* end of lemma zenon_L152_ *) % 33.06/33.27 assert (zenon_L153_ : ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2ef zenon_H1bf zenon_H1a9 zenon_H1c2 zenon_H1eb zenon_H2f0 zenon_H1ca zenon_H270. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.27 exact (zenon_H1eb zenon_H1e4). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.27 exact (zenon_H2f0 zenon_H24a). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.27 exact (zenon_H26f zenon_H269). % 33.06/33.27 exact (zenon_H1ca zenon_H1ce). % 33.06/33.27 apply (zenon_L91_); trivial. % 33.06/33.27 (* end of lemma zenon_L153_ *) % 33.06/33.27 assert (zenon_L154_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2f1 zenon_H1b2 zenon_H1cc. % 33.06/33.27 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H2f1. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H1b2. % 33.06/33.27 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f2]. % 33.06/33.27 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_H23f. apply refl_equal. % 33.06/33.27 apply zenon_H2f2. apply sym_equal. exact zenon_H1cc. % 33.06/33.27 (* end of lemma zenon_L154_ *) % 33.06/33.27 assert (zenon_L155_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H2f3 zenon_Hb4 zenon_H89 zenon_H1fc zenon_H1d7 zenon_H1ac zenon_H1fb zenon_H76 zenon_H79 zenon_H70 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H3a zenon_H62 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H3f zenon_H43 zenon_H69 zenon_H21 zenon_H1a zenon_H1b zenon_H1e zenon_H13 zenon_H15 zenon_H75 zenon_H81 zenon_H8e zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_Haf zenon_Hb8 zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_Hf6 zenon_Hf2 zenon_H10a zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_H12e zenon_H136 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H2f1 zenon_H1bf. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.06/33.27 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.06/33.27 apply (zenon_L153_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.27 apply (zenon_L19_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.27 apply (zenon_L87_); trivial. % 33.06/33.27 apply (zenon_L94_); trivial. % 33.06/33.27 apply (zenon_L20_); trivial. % 33.06/33.27 apply (zenon_L21_); trivial. % 33.06/33.27 apply (zenon_L28_); trivial. % 33.06/33.27 apply (zenon_L29_); trivial. % 33.06/33.27 apply (zenon_L30_); trivial. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_L2_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H18 | zenon_intro zenon_H7d ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f ]. % 33.06/33.27 apply (zenon_L62_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.27 apply (zenon_L4_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.27 apply (zenon_L87_); trivial. % 33.06/33.27 apply (zenon_L94_); trivial. % 33.06/33.27 apply (zenon_L63_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.27 apply (zenon_L64_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.27 apply (zenon_L65_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H5c | zenon_intro zenon_H9f ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.27 apply (zenon_L75_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.27 apply (zenon_L87_); trivial. % 33.06/33.27 apply (zenon_L94_); trivial. % 33.06/33.27 apply (zenon_L77_); trivial. % 33.06/33.27 apply (zenon_L22_); trivial. % 33.06/33.27 apply (zenon_L78_); trivial. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.27 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.27 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.27 apply (zenon_L82_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.27 exact (zenon_H1fb zenon_H21d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.27 apply (zenon_L87_); trivial. % 33.06/33.27 apply (zenon_L94_); trivial. % 33.06/33.27 apply (zenon_L154_); trivial. % 33.06/33.27 (* end of lemma zenon_L155_ *) % 33.06/33.27 assert (zenon_L156_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (e20))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e23)) = (e20))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H311 zenon_H312 zenon_H28c zenon_H28b zenon_H313 zenon_H1df. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H2da | zenon_intro zenon_H314 ]. % 33.06/33.27 exact (zenon_H312 zenon_H2da). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H254 | zenon_intro zenon_H315 ]. % 33.06/33.27 apply (zenon_L124_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H255 | zenon_intro zenon_H1e3 ]. % 33.06/33.27 exact (zenon_H313 zenon_H255). % 33.06/33.27 exact (zenon_H1df zenon_H1e3). % 33.06/33.27 (* end of lemma zenon_L156_ *) % 33.06/33.27 assert (zenon_L157_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H3a zenon_H316 zenon_H317. % 33.06/33.27 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H3a. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H316. % 33.06/33.27 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_H3e. apply refl_equal. % 33.06/33.27 apply zenon_H318. apply sym_equal. exact zenon_H317. % 33.06/33.27 (* end of lemma zenon_L157_ *) % 33.06/33.27 assert (zenon_L158_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H13 zenon_H319 zenon_H31a. % 33.06/33.27 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H31b | zenon_intro zenon_H3e ]. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H31a. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H31b. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H31c. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H13. % 33.06/33.27 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.06/33.27 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H31d]. % 33.06/33.27 congruence. % 33.06/33.27 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H31b | zenon_intro zenon_H3e ]. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H31d. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H31b. % 33.06/33.27 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.06/33.27 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31e]. % 33.06/33.27 congruence. % 33.06/33.27 exact (zenon_H31e zenon_H319). % 33.06/33.27 apply zenon_H3e. apply refl_equal. % 33.06/33.27 apply zenon_H3e. apply refl_equal. % 33.06/33.27 apply zenon_H85. apply refl_equal. % 33.06/33.27 apply zenon_H3e. apply refl_equal. % 33.06/33.27 apply zenon_H3e. apply refl_equal. % 33.06/33.27 (* end of lemma zenon_L158_ *) % 33.06/33.27 assert (zenon_L159_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H31f zenon_H41 zenon_H3f zenon_H3c zenon_H317 zenon_H3a zenon_H13 zenon_H31a. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H40 | zenon_intro zenon_H320 ]. % 33.06/33.27 apply (zenon_L9_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H3b | zenon_intro zenon_H321 ]. % 33.06/33.27 apply (zenon_L8_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H316 | zenon_intro zenon_H319 ]. % 33.06/33.27 apply (zenon_L157_); trivial. % 33.06/33.27 apply (zenon_L158_); trivial. % 33.06/33.27 (* end of lemma zenon_L159_ *) % 33.06/33.27 assert (zenon_L160_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H62 zenon_H78 zenon_H63 zenon_H64 zenon_H31f zenon_H3f zenon_H3c zenon_H317 zenon_H3a zenon_H13 zenon_H31a. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.06/33.27 exact (zenon_H78 zenon_H40). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.06/33.27 exact (zenon_H63 zenon_H67). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.06/33.27 exact (zenon_H64 zenon_H68). % 33.06/33.27 apply (zenon_L159_); trivial. % 33.06/33.27 (* end of lemma zenon_L160_ *) % 33.06/33.27 assert (zenon_L161_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_Hd3 zenon_H10f zenon_H322. % 33.06/33.27 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 33.06/33.27 cut (((e12) = (e12)) = ((e10) = (e12))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H322. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H323. % 33.06/33.27 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 33.06/33.27 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((op1 (e12) (e11)) = (e10)) = ((e12) = (e10))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H325. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_Hd3. % 33.06/33.27 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 33.06/33.27 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 33.06/33.27 congruence. % 33.06/33.27 exact (zenon_H10b zenon_H10f). % 33.06/33.27 apply zenon_H2f. apply refl_equal. % 33.06/33.27 apply zenon_H324. apply refl_equal. % 33.06/33.27 apply zenon_H324. apply refl_equal. % 33.06/33.27 (* end of lemma zenon_L161_ *) % 33.06/33.27 assert (zenon_L162_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H326 zenon_H327 zenon_H110. % 33.06/33.27 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H326. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H327. % 33.06/33.27 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 33.06/33.27 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_H53. apply refl_equal. % 33.06/33.27 apply zenon_H328. apply sym_equal. exact zenon_H110. % 33.06/33.27 (* end of lemma zenon_L162_ *) % 33.06/33.27 assert (zenon_L163_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_H322 zenon_Hd3 zenon_Ha2 zenon_H326 zenon_H327. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Haa | zenon_intro zenon_H10d ]. % 33.06/33.27 apply (zenon_L29_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 33.06/33.27 apply (zenon_L161_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H110 ]. % 33.06/33.27 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.27 apply (zenon_L162_); trivial. % 33.06/33.27 (* end of lemma zenon_L163_ *) % 33.06/33.27 assert (zenon_L164_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H329 zenon_H77 zenon_H32a zenon_H5e zenon_H31 zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H3f zenon_H46 zenon_H62 zenon_H32b zenon_Haf zenon_Hec zenon_Hf3 zenon_Hf2 zenon_H31a zenon_H3a zenon_H31f zenon_H78 zenon_H10a zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H45. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.06/33.27 exact (zenon_H77 zenon_H7d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.06/33.27 exact (zenon_H32a zenon_Hfb). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.27 apply (zenon_L7_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.27 exact (zenon_H6a zenon_H6d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.06/33.27 apply (zenon_L30_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.06/33.27 apply (zenon_L56_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.06/33.27 apply (zenon_L160_); trivial. % 33.06/33.27 apply (zenon_L163_); trivial. % 33.06/33.27 apply (zenon_L16_); trivial. % 33.06/33.27 exact (zenon_H45 zenon_H4a). % 33.06/33.27 (* end of lemma zenon_L164_ *) % 33.06/33.27 assert (zenon_L165_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H330 zenon_Hb4 zenon_H329 zenon_H77 zenon_H32a zenon_H5e zenon_H31 zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H3f zenon_H46 zenon_H62 zenon_H32b zenon_Haf zenon_Hf3 zenon_Hf2 zenon_H31a zenon_H3a zenon_H31f zenon_H78 zenon_H10a zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H45. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H331 ]. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H332 ]. % 33.06/33.27 apply (zenon_L30_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Haa | zenon_intro zenon_Hec ]. % 33.06/33.27 apply (zenon_L29_); trivial. % 33.06/33.27 apply (zenon_L164_); trivial. % 33.06/33.27 (* end of lemma zenon_L165_ *) % 33.06/33.27 assert (zenon_L166_ : (~((h1 (e12)) = (e22))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H333 zenon_H334 zenon_H1a9. % 33.06/33.27 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (e12)) = (e22))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H333. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H334. % 33.06/33.27 cut (((op2 (op2 (e20) (e20)) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 33.06/33.27 cut (((h1 (e12)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H335]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_H335. apply refl_equal. % 33.06/33.27 apply zenon_H1aa. apply sym_equal. exact zenon_H1a9. % 33.06/33.27 (* end of lemma zenon_L166_ *) % 33.06/33.27 assert (zenon_L167_ : (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> ((op2 (e20) (e22)) = (e22)) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H336 zenon_H316 zenon_H337 zenon_H21 zenon_H334 zenon_H1a9. % 33.06/33.27 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H336. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H334. % 33.06/33.27 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H338]. % 33.06/33.27 cut (((h1 (e12)) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H339]. % 33.06/33.27 congruence. % 33.06/33.27 elim (classic ((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [ zenon_intro zenon_H33a | zenon_intro zenon_H33b ]. % 33.06/33.27 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12)))) = ((h1 (e12)) = (h1 (op1 (e10) (e12))))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H339. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H33a. % 33.06/33.27 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33b]. % 33.06/33.27 cut (((h1 (op1 (e10) (e12))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33d]. % 33.06/33.27 congruence. % 33.06/33.27 exact (zenon_H33d zenon_H316). % 33.06/33.27 apply zenon_H33b. apply refl_equal. % 33.06/33.27 apply zenon_H33b. apply refl_equal. % 33.06/33.27 elim (classic ((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [ zenon_intro zenon_H33e | zenon_intro zenon_H33f ]. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e12))))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H338. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H33e. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33f]. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h1 (e10)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (e20)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H340. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H337. % 33.06/33.27 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 33.06/33.27 cut (((op2 (e20) (e22)) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H342]. % 33.06/33.27 congruence. % 33.06/33.27 elim (classic ((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [ zenon_intro zenon_H33e | zenon_intro zenon_H33f ]. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12)))) = ((op2 (e20) (e22)) = (op2 (h1 (e10)) (h1 (e12))))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H342. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H33e. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33f]. % 33.06/33.27 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H343]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.06/33.27 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 33.06/33.27 congruence. % 33.06/33.27 exact (zenon_H2e zenon_H21). % 33.06/33.27 apply (zenon_L166_); trivial. % 33.06/33.27 apply zenon_H33f. apply refl_equal. % 33.06/33.27 apply zenon_H33f. apply refl_equal. % 33.06/33.27 exact (zenon_H341 zenon_H1a9). % 33.06/33.27 apply zenon_H33f. apply refl_equal. % 33.06/33.27 apply zenon_H33f. apply refl_equal. % 33.06/33.27 (* end of lemma zenon_L167_ *) % 33.06/33.27 assert (zenon_L168_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H6e zenon_H344 zenon_H322. % 33.06/33.27 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 33.06/33.27 cut (((e12) = (e12)) = ((e10) = (e12))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H322. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H323. % 33.06/33.27 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 33.06/33.27 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((op1 (e10) (e13)) = (e10)) = ((e12) = (e10))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H325. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H6e. % 33.06/33.27 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 33.06/33.27 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H345]. % 33.06/33.27 congruence. % 33.06/33.27 exact (zenon_H345 zenon_H344). % 33.06/33.27 apply zenon_H2f. apply refl_equal. % 33.06/33.27 apply zenon_H324. apply refl_equal. % 33.06/33.27 apply zenon_H324. apply refl_equal. % 33.06/33.27 (* end of lemma zenon_L168_ *) % 33.06/33.27 assert (zenon_L169_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((e10) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H75 zenon_H76 zenon_H346 zenon_H45 zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H326 zenon_Ha2 zenon_H89 zenon_H10a zenon_H78 zenon_H31f zenon_H3a zenon_H31a zenon_Hf2 zenon_Haf zenon_H32b zenon_H62 zenon_H46 zenon_H3f zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e zenon_H32a zenon_H77 zenon_H329 zenon_Hb4 zenon_H330 zenon_H1a9 zenon_H334 zenon_H21 zenon_H337 zenon_H336 zenon_H322. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.27 exact (zenon_H76 zenon_H7b). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.27 exact (zenon_H77 zenon_H7d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.27 exact (zenon_H78 zenon_H40). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.27 apply (zenon_L165_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.27 apply (zenon_L167_); trivial. % 33.06/33.27 apply (zenon_L168_); trivial. % 33.06/33.27 (* end of lemma zenon_L169_ *) % 33.06/33.27 assert (zenon_L170_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((e10) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H75 zenon_H76 zenon_Hd3 zenon_Hd2 zenon_H9d zenon_Ha2 zenon_H34 zenon_H8e zenon_Hd5 zenon_Ha4 zenon_Hd7 zenon_H4c zenon_Ha3 zenon_H3f zenon_Hd8 zenon_H43 zenon_H346 zenon_Hb4 zenon_H57 zenon_H13 zenon_H31 zenon_H94 zenon_He3 zenon_Hf2 zenon_Hed zenon_Hf6 zenon_H1a9 zenon_H334 zenon_H21 zenon_H337 zenon_H336 zenon_H322. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.27 exact (zenon_H76 zenon_H7b). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.27 apply (zenon_L36_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.27 apply (zenon_L44_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.27 apply (zenon_L57_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.27 apply (zenon_L167_); trivial. % 33.06/33.27 apply (zenon_L168_); trivial. % 33.06/33.27 (* end of lemma zenon_L170_ *) % 33.06/33.27 assert (zenon_L171_ : ((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (e12))) -> (~((op1 (e10) (e12)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H178 zenon_H13 zenon_H31a zenon_Hb6 zenon_Hf5 zenon_H33d zenon_H346. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H345 | zenon_intro zenon_H319 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.27 exact (zenon_Hb6 zenon_Hb3). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.27 exact (zenon_Hf5 zenon_Hf3). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.27 exact (zenon_H33d zenon_H316). % 33.06/33.27 exact (zenon_H345 zenon_H344). % 33.06/33.27 apply (zenon_L158_); trivial. % 33.06/33.27 (* end of lemma zenon_L171_ *) % 33.06/33.27 assert (zenon_L172_ : ((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10))) -> ((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H182 zenon_H188 zenon_H111 zenon_H94 zenon_He3 zenon_H31 zenon_H13 zenon_H57 zenon_Hf6 zenon_H18c zenon_H9d zenon_H33 zenon_H34 zenon_H6a zenon_H3a zenon_H3b zenon_H128 zenon_H4c zenon_H126 zenon_H5e zenon_H5d zenon_H123 zenon_H4f zenon_H3f zenon_H11f zenon_H89 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H69 zenon_H12b zenon_Ha2 zenon_H10a zenon_H184. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.27 apply (zenon_L64_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.27 apply (zenon_L65_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H5c | zenon_intro zenon_H9f ]. % 33.06/33.27 apply (zenon_L74_); trivial. % 33.06/33.27 apply (zenon_L27_); trivial. % 33.06/33.27 apply (zenon_L22_); trivial. % 33.06/33.27 apply (zenon_L78_); trivial. % 33.06/33.27 (* end of lemma zenon_L172_ *) % 33.06/33.27 assert (zenon_L173_ : ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H12b zenon_H40 zenon_H3f zenon_Hf6 zenon_H57 zenon_H13 zenon_H31 zenon_He3 zenon_H94 zenon_H111. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.27 apply (zenon_L65_); trivial. % 33.06/33.27 apply (zenon_L9_); trivial. % 33.06/33.27 (* end of lemma zenon_L173_ *) % 33.06/33.27 assert (zenon_L174_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> False). % 33.06/33.27 do 0 intro. intros zenon_Ha3 zenon_H48 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.27 apply (zenon_L23_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.27 apply (zenon_L24_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.27 apply (zenon_L26_); trivial. % 33.06/33.27 exact (zenon_H12f zenon_H9f). % 33.06/33.27 (* end of lemma zenon_L174_ *) % 33.06/33.27 assert (zenon_L175_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> False). % 33.06/33.27 do 0 intro. intros zenon_Ha3 zenon_H4a zenon_Hd8 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H41 | zenon_intro zenon_Ha8 ]. % 33.06/33.27 apply (zenon_L40_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H95 | zenon_intro zenon_Ha9 ]. % 33.06/33.27 apply (zenon_L24_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H98 | zenon_intro zenon_H9f ]. % 33.06/33.27 apply (zenon_L26_); trivial. % 33.06/33.27 exact (zenon_H12f zenon_H9f). % 33.06/33.27 (* end of lemma zenon_L175_ *) % 33.06/33.27 assert (zenon_L176_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H43 zenon_H12f zenon_H31 zenon_H94 zenon_H51 zenon_H4c zenon_Hd8 zenon_Ha3 zenon_H31a zenon_H13 zenon_H3a zenon_H317 zenon_H3c zenon_H3f zenon_H31f zenon_He0 zenon_H6e. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.06/33.27 apply (zenon_L174_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.06/33.27 apply (zenon_L175_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.06/33.27 apply (zenon_L159_); trivial. % 33.06/33.27 apply (zenon_L52_); trivial. % 33.06/33.27 (* end of lemma zenon_L176_ *) % 33.06/33.27 assert (zenon_L177_ : ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H327 zenon_Hed zenon_H349. % 33.06/33.27 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H34a | zenon_intro zenon_H53 ]. % 33.06/33.27 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H349. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H34a. % 33.06/33.27 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 33.06/33.27 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H34b]. % 33.06/33.27 congruence. % 33.06/33.27 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H34b. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H327. % 33.06/33.27 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 33.06/33.27 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_H53. apply refl_equal. % 33.06/33.27 apply zenon_Hee. apply sym_equal. exact zenon_Hed. % 33.06/33.27 apply zenon_H53. apply refl_equal. % 33.06/33.27 apply zenon_H53. apply refl_equal. % 33.06/33.27 (* end of lemma zenon_L177_ *) % 33.06/33.27 assert (zenon_L178_ : (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (e13))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H34c zenon_Hfa zenon_Hf9 zenon_H6a zenon_H349 zenon_H327 zenon_H34d. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H34e ]. % 33.06/33.27 apply (zenon_L58_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H34e); [ zenon_intro zenon_H6d | zenon_intro zenon_H34f ]. % 33.06/33.27 exact (zenon_H6a zenon_H6d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_Hed | zenon_intro zenon_H350 ]. % 33.06/33.27 apply (zenon_L177_); trivial. % 33.06/33.27 exact (zenon_H34d zenon_H350). % 33.06/33.27 (* end of lemma zenon_L178_ *) % 33.06/33.27 assert (zenon_L179_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 33.06/33.27 do 0 intro. intros zenon_H8e zenon_H351 zenon_H68. % 33.06/33.27 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 33.06/33.27 intro zenon_D_pnotp. % 33.06/33.27 apply zenon_H8e. % 33.06/33.27 rewrite <- zenon_D_pnotp. % 33.06/33.27 exact zenon_H351. % 33.06/33.27 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd6]. % 33.06/33.27 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 33.06/33.27 congruence. % 33.06/33.27 apply zenon_Had. apply refl_equal. % 33.06/33.27 apply zenon_Hd6. apply sym_equal. exact zenon_H68. % 33.06/33.27 (* end of lemma zenon_L179_ *) % 33.06/33.27 assert (zenon_L180_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False). % 33.06/33.27 do 0 intro. intros zenon_Ha4 zenon_H351 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H352. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.06/33.27 apply (zenon_L179_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.06/33.27 apply (zenon_L22_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.06/33.27 exact (zenon_Ha2 zenon_Ha7). % 33.06/33.27 exact (zenon_H352 zenon_H9e). % 33.06/33.27 (* end of lemma zenon_L180_ *) % 33.06/33.27 assert (zenon_L181_ : ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H12c zenon_H57 zenon_H76 zenon_H34c zenon_H34d zenon_H327 zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_H352 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_Ha3 zenon_H13 zenon_H51 zenon_H4c zenon_H94 zenon_H353. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H7b | zenon_intro zenon_H354 ]. % 33.06/33.27 exact (zenon_H76 zenon_H7b). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_Hfa | zenon_intro zenon_H355 ]. % 33.06/33.27 apply (zenon_L178_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H351 | zenon_intro zenon_H48 ]. % 33.06/33.27 apply (zenon_L180_); trivial. % 33.06/33.27 apply (zenon_L174_); trivial. % 33.06/33.27 apply (zenon_L14_); trivial. % 33.06/33.27 (* end of lemma zenon_L181_ *) % 33.06/33.27 assert (zenon_L182_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H1a1 zenon_H326 zenon_H134 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H327 zenon_H34d zenon_H34c zenon_H76 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13 zenon_H12c zenon_He0 zenon_H6e zenon_H133. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.27 apply (zenon_L79_); trivial. % 33.06/33.27 apply (zenon_L181_); trivial. % 33.06/33.27 apply (zenon_L52_); trivial. % 33.06/33.27 apply (zenon_L162_); trivial. % 33.06/33.27 (* end of lemma zenon_L182_ *) % 33.06/33.27 assert (zenon_L183_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (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)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H330 zenon_Hb4 zenon_H89 zenon_H69 zenon_H33 zenon_H76 zenon_H34c zenon_H34d zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H34 zenon_H8e zenon_Ha3 zenon_H4c zenon_H94 zenon_H353 zenon_H326 zenon_H1a1 zenon_H43 zenon_H12f zenon_H51 zenon_Hd8 zenon_H31a zenon_H3a zenon_H3f zenon_H31f zenon_Hf2 zenon_Hf3 zenon_Haf zenon_H32b zenon_H133 zenon_H6e zenon_He0 zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H4f zenon_H134. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H331 ]. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H332 ]. % 33.06/33.27 apply (zenon_L30_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Haa | zenon_intro zenon_Hec ]. % 33.06/33.27 apply (zenon_L29_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.06/33.27 apply (zenon_L7_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.06/33.27 exact (zenon_H6a zenon_H6d). % 33.06/33.27 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.06/33.27 apply (zenon_L30_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.06/33.27 apply (zenon_L56_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.06/33.27 apply (zenon_L176_); trivial. % 33.06/33.27 apply (zenon_L182_); trivial. % 33.06/33.27 apply (zenon_L80_); trivial. % 33.06/33.27 (* end of lemma zenon_L183_ *) % 33.06/33.27 assert (zenon_L184_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e12))) -> False). % 33.06/33.27 do 0 intro. intros zenon_H346 zenon_H134 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13 zenon_H12c zenon_He0 zenon_H133 zenon_H32b zenon_Haf zenon_Hf2 zenon_H31f zenon_H3f zenon_H3a zenon_H31a zenon_Hd8 zenon_H51 zenon_H12f zenon_H43 zenon_H1a1 zenon_H326 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34d zenon_H34c zenon_H76 zenon_H33 zenon_H69 zenon_H89 zenon_Hb4 zenon_H330 zenon_H1a9 zenon_H334 zenon_H21 zenon_H337 zenon_H336 zenon_H6e zenon_H322. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.27 apply (zenon_L31_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.27 apply (zenon_L183_); trivial. % 33.06/33.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.27 apply (zenon_L167_); trivial. % 33.06/33.27 apply (zenon_L168_); trivial. % 33.06/33.27 (* end of lemma zenon_L184_ *) % 33.06/33.27 assert (zenon_L185_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H136 zenon_H81 zenon_H329 zenon_H15 zenon_Hd2 zenon_Hd5 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H75 zenon_H102 zenon_Hfe zenon_H10a zenon_Hce zenon_Hbf zenon_Hc6 zenon_H11f zenon_H123 zenon_H5d zenon_H126 zenon_H128 zenon_H9d zenon_Hf6 zenon_He3 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_Hb4 zenon_H330 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H76 zenon_H34c zenon_H349 zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_H353 zenon_H326 zenon_Ha3 zenon_H4c zenon_H94 zenon_Hd8 zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_He0 zenon_H43 zenon_Hf2 zenon_H4f zenon_H69 zenon_H89 zenon_Haf zenon_H336 zenon_H1a9 zenon_H334 zenon_H21 zenon_H337 zenon_H322 zenon_H346 zenon_H13. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.28 apply (zenon_L169_); trivial. % 33.06/33.28 apply (zenon_L20_); trivial. % 33.06/33.28 apply (zenon_L21_); trivial. % 33.06/33.28 apply (zenon_L28_); trivial. % 33.06/33.28 apply (zenon_L29_); trivial. % 33.06/33.28 apply (zenon_L30_); trivial. % 33.06/33.28 apply (zenon_L7_); trivial. % 33.06/33.28 apply (zenon_L31_); trivial. % 33.06/33.28 apply (zenon_L2_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.06/33.28 apply (zenon_L54_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.28 apply (zenon_L35_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.28 apply (zenon_L170_); trivial. % 33.06/33.28 apply (zenon_L53_); trivial. % 33.06/33.28 apply (zenon_L60_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.06/33.28 apply (zenon_L171_); trivial. % 33.06/33.28 apply (zenon_L167_); trivial. % 33.06/33.28 apply (zenon_L172_); trivial. % 33.06/33.28 apply (zenon_L173_); trivial. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.28 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.28 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.28 apply (zenon_L79_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.28 apply (zenon_L184_); trivial. % 33.06/33.28 apply (zenon_L14_); trivial. % 33.06/33.28 apply (zenon_L52_); trivial. % 33.06/33.28 apply (zenon_L80_); trivial. % 33.06/33.28 (* end of lemma zenon_L185_ *) % 33.06/33.28 assert (zenon_L186_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 33.06/33.28 do 0 intro. intros zenon_H356 zenon_H2b9 zenon_H1bf zenon_H2ed. % 33.06/33.28 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H356. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H2b9. % 33.06/33.28 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H357]. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H358]. % 33.06/33.28 congruence. % 33.06/33.28 elim (classic ((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [ zenon_intro zenon_H359 | zenon_intro zenon_H35a ]. % 33.06/33.28 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H358. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H359. % 33.06/33.28 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 33.06/33.28 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.28 congruence. % 33.06/33.28 apply (zenon_L90_); trivial. % 33.06/33.28 apply zenon_H35a. apply refl_equal. % 33.06/33.28 apply zenon_H35a. apply refl_equal. % 33.06/33.28 apply zenon_H357. apply sym_equal. exact zenon_H2ed. % 33.06/33.28 (* end of lemma zenon_L186_ *) % 33.06/33.28 assert (zenon_L187_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H1a9 zenon_H35b zenon_H2b9 zenon_H2ed zenon_H1bf zenon_H35c. % 33.06/33.28 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c6 ]. % 33.06/33.28 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H35c. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H2c5. % 33.06/33.28 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 33.06/33.28 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35d]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H35d. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H1a9. % 33.06/33.28 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H356]. % 33.06/33.28 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H35e]. % 33.06/33.28 congruence. % 33.06/33.28 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c6 ]. % 33.06/33.28 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H35e. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H2c5. % 33.06/33.28 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 33.06/33.28 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H35f]. % 33.06/33.28 congruence. % 33.06/33.28 exact (zenon_H35f zenon_H35b). % 33.06/33.28 apply zenon_H2c6. apply refl_equal. % 33.06/33.28 apply zenon_H2c6. apply refl_equal. % 33.06/33.28 apply (zenon_L186_); trivial. % 33.06/33.28 apply zenon_H2c6. apply refl_equal. % 33.06/33.28 apply zenon_H2c6. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L187_ *) % 33.06/33.28 assert (zenon_L188_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2b7 zenon_H35c zenon_H2ed zenon_H35b zenon_H2aa zenon_H2b1 zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2b8 ]. % 33.06/33.28 apply (zenon_L187_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2ba ]. % 33.06/33.28 apply (zenon_L129_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H1c1 ]. % 33.06/33.28 apply (zenon_L130_); trivial. % 33.06/33.28 apply (zenon_L91_); trivial. % 33.06/33.28 (* end of lemma zenon_L188_ *) % 33.06/33.28 assert (zenon_L189_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H360 zenon_H13 zenon_H346 zenon_H322 zenon_H21 zenon_H334 zenon_H336 zenon_Haf zenon_H89 zenon_H69 zenon_H4f zenon_Hf2 zenon_H43 zenon_He0 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_Hd8 zenon_H94 zenon_H4c zenon_Ha3 zenon_H326 zenon_H353 zenon_H8e zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H349 zenon_H34c zenon_H76 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H330 zenon_Hb4 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_He3 zenon_Hf6 zenon_H9d zenon_H128 zenon_H126 zenon_H5d zenon_H123 zenon_H11f zenon_Hc6 zenon_Hbf zenon_Hce zenon_H10a zenon_Hfe zenon_H102 zenon_H75 zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_Hd5 zenon_Hd2 zenon_H15 zenon_H329 zenon_H81 zenon_H136 zenon_H1c2 zenon_H2aa zenon_H2ed zenon_H35c zenon_H2b7 zenon_H262 zenon_H1a9 zenon_H1bf zenon_H2b1. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.28 apply (zenon_L185_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.28 apply (zenon_L188_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.28 exact (zenon_H262 zenon_H265). % 33.06/33.28 apply (zenon_L130_); trivial. % 33.06/33.28 (* end of lemma zenon_L189_ *) % 33.06/33.28 assert (zenon_L190_ : (~((e21) = (e21))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H1b6. % 33.06/33.28 apply zenon_H1b6. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L190_ *) % 33.06/33.28 assert (zenon_L191_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H20 zenon_H2d4 zenon_H363. % 33.06/33.28 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H364 | zenon_intro zenon_H365 ]. % 33.06/33.28 cut (((e22) = (e22)) = ((e21) = (e22))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H363. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H364. % 33.06/33.28 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H365]. % 33.06/33.28 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H366]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((op2 (e20) (e21)) = (e21)) = ((e22) = (e21))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H366. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H20. % 33.06/33.28 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 33.06/33.28 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2d1]. % 33.06/33.28 congruence. % 33.06/33.28 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.28 apply zenon_H1b6. apply refl_equal. % 33.06/33.28 apply zenon_H365. apply refl_equal. % 33.06/33.28 apply zenon_H365. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L191_ *) % 33.06/33.28 assert (zenon_L192_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H25c zenon_H1bf zenon_H25d. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H255 | zenon_intro zenon_H263 ]. % 33.06/33.28 exact (zenon_H313 zenon_H255). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H22f | zenon_intro zenon_H264 ]. % 33.06/33.28 apply (zenon_L103_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H257 ]. % 33.06/33.28 exact (zenon_H262 zenon_H265). % 33.06/33.28 apply (zenon_L111_); trivial. % 33.06/33.28 (* end of lemma zenon_L192_ *) % 33.06/33.28 assert (zenon_L193_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H2bc zenon_H2bb zenon_H25d zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H313 zenon_H261 zenon_H1ca. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.28 apply (zenon_L105_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.28 apply (zenon_L132_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L192_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 (* end of lemma zenon_L193_ *) % 33.06/33.28 assert (zenon_L194_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H269 zenon_H1bf zenon_H26a. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H255 | zenon_intro zenon_H263 ]. % 33.06/33.28 exact (zenon_H313 zenon_H255). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H22f | zenon_intro zenon_H264 ]. % 33.06/33.28 apply (zenon_L103_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H257 ]. % 33.06/33.28 exact (zenon_H262 zenon_H265). % 33.06/33.28 apply (zenon_L114_); trivial. % 33.06/33.28 (* end of lemma zenon_L194_ *) % 33.06/33.28 assert (zenon_L195_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bb zenon_H2bc zenon_H23d zenon_H266 zenon_H26a zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H313 zenon_H261 zenon_H1ca. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.28 apply (zenon_L97_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.28 apply (zenon_L193_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L194_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 (* end of lemma zenon_L195_ *) % 33.06/33.28 assert (zenon_L196_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H367 zenon_H1ed zenon_H1ca zenon_H26a zenon_H266 zenon_H23d zenon_H2bb zenon_H1e5 zenon_H270 zenon_H2c3 zenon_H2c2 zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H25d. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.06/33.28 apply (zenon_L98_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.06/33.28 apply (zenon_L195_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.06/33.28 apply (zenon_L136_); trivial. % 33.06/33.28 apply (zenon_L192_); trivial. % 33.06/33.28 (* end of lemma zenon_L196_ *) % 33.06/33.28 assert (zenon_L197_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H243 zenon_H24e zenon_H24d zenon_H26a zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H313 zenon_H261 zenon_H1ca. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.28 apply (zenon_L97_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.28 apply (zenon_L108_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L194_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 (* end of lemma zenon_L197_ *) % 33.06/33.28 assert (zenon_L198_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False). % 33.06/33.28 do 0 intro. intros zenon_H36a zenon_H2ed zenon_H2a7. % 33.06/33.28 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H36a. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H2ed. % 33.06/33.28 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H36b]. % 33.06/33.28 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 33.06/33.28 congruence. % 33.06/33.28 apply zenon_H251. apply refl_equal. % 33.06/33.28 apply zenon_H36b. apply sym_equal. exact zenon_H2a7. % 33.06/33.28 (* end of lemma zenon_L198_ *) % 33.06/33.28 assert (zenon_L199_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2d5 zenon_H1f4 zenon_H254 zenon_H253 zenon_H2c2 zenon_H1ed zenon_H367 zenon_H36c zenon_H282 zenon_H1ca zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H26a zenon_H266 zenon_H23d zenon_H2bb zenon_H25d zenon_H1e5 zenon_H270 zenon_H2e9 zenon_H36d zenon_H1fb zenon_H2a7 zenon_H36a zenon_H24d zenon_H1bf. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.06/33.28 apply (zenon_L99_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.06/33.28 apply (zenon_L116_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.06/33.28 apply (zenon_L196_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.06/33.28 apply (zenon_L122_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.06/33.28 apply (zenon_L197_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.06/33.28 apply (zenon_L195_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H276 | zenon_intro zenon_H2eb ]. % 33.06/33.28 exact (zenon_H36d zenon_H276). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H21d | zenon_intro zenon_H2ec ]. % 33.06/33.28 exact (zenon_H1fb zenon_H21d). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ed | zenon_intro zenon_H24e ]. % 33.06/33.28 apply (zenon_L198_); trivial. % 33.06/33.28 apply (zenon_L108_); trivial. % 33.06/33.28 (* end of lemma zenon_L199_ *) % 33.06/33.28 assert (zenon_L200_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H1c2 zenon_H2b1 zenon_H35b zenon_H35c zenon_H2b7 zenon_H24d zenon_H36a zenon_H1fb zenon_H36d zenon_H2e9 zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H262 zenon_H1b zenon_H230 zenon_H313 zenon_H261 zenon_H1ca zenon_H282 zenon_H36c zenon_H367 zenon_H1ed zenon_H2c2 zenon_H253 zenon_H254 zenon_H1f4 zenon_H2d5 zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.28 apply (zenon_L191_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.28 apply (zenon_L188_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.28 apply (zenon_L199_); trivial. % 33.06/33.28 apply (zenon_L129_); trivial. % 33.06/33.28 (* end of lemma zenon_L200_ *) % 33.06/33.28 assert (zenon_L201_ : (~((e22) = (e22))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H365. % 33.06/33.28 apply zenon_H365. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L201_ *) % 33.06/33.28 assert (zenon_L202_ : ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H373 zenon_H243 zenon_H374. % 33.06/33.28 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H375 | zenon_intro zenon_H376 ]. % 33.06/33.28 cut (((e23) = (e23)) = ((e22) = (e23))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H374. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H375. % 33.06/33.28 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 33.06/33.28 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H377]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((op2 (e21) (e23)) = (e22)) = ((e23) = (e22))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H377. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H373. % 33.06/33.28 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H365]. % 33.06/33.28 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 33.06/33.28 congruence. % 33.06/33.28 exact (zenon_H248 zenon_H243). % 33.06/33.28 apply zenon_H365. apply refl_equal. % 33.06/33.28 apply zenon_H376. apply refl_equal. % 33.06/33.28 apply zenon_H376. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L202_ *) % 33.06/33.28 assert (zenon_L203_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H266 zenon_H23d zenon_H374 zenon_H373 zenon_H25d zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.28 apply (zenon_L105_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.28 apply (zenon_L202_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L111_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 (* end of lemma zenon_L203_ *) % 33.06/33.28 assert (zenon_L204_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H367 zenon_H1ed zenon_H26a zenon_H2bb zenon_H1e5 zenon_H270 zenon_H1ca zenon_H373 zenon_H374 zenon_H23d zenon_H266 zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H25d. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.06/33.28 apply (zenon_L98_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.06/33.28 apply (zenon_L195_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.06/33.28 apply (zenon_L203_); trivial. % 33.06/33.28 apply (zenon_L192_); trivial. % 33.06/33.28 (* end of lemma zenon_L204_ *) % 33.06/33.28 assert (zenon_L205_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (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) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H378 zenon_H27a zenon_H136 zenon_H81 zenon_H329 zenon_H15 zenon_Hd2 zenon_Hd5 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H75 zenon_H102 zenon_Hfe zenon_H10a zenon_Hce zenon_Hbf zenon_Hc6 zenon_H11f zenon_H123 zenon_H5d zenon_H126 zenon_H128 zenon_H9d zenon_Hf6 zenon_He3 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_Hb4 zenon_H330 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H76 zenon_H34c zenon_H349 zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_H353 zenon_H326 zenon_Ha3 zenon_H4c zenon_H94 zenon_Hd8 zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_He0 zenon_H43 zenon_Hf2 zenon_H4f zenon_H69 zenon_H89 zenon_Haf zenon_H336 zenon_H334 zenon_H21 zenon_H322 zenon_H346 zenon_H13 zenon_H360 zenon_H2aa zenon_H2d5 zenon_H1f4 zenon_H254 zenon_H253 zenon_H2c2 zenon_H36c zenon_H282 zenon_H2e9 zenon_H36d zenon_H1fb zenon_H36a zenon_H24d zenon_H2b7 zenon_H35c zenon_H2b1 zenon_H1c2 zenon_H20 zenon_H363 zenon_H370 zenon_H367 zenon_H1ed zenon_H26a zenon_H2bb zenon_H1e5 zenon_H270 zenon_H1ca zenon_H374 zenon_H23d zenon_H266 zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H25d. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H27b | zenon_intro zenon_H379 ]. % 33.06/33.28 apply (zenon_L120_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ed | zenon_intro zenon_H37a ]. % 33.06/33.28 apply (zenon_L189_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H35b | zenon_intro zenon_H373 ]. % 33.06/33.28 apply (zenon_L200_); trivial. % 33.06/33.28 apply (zenon_L204_); trivial. % 33.06/33.28 (* end of lemma zenon_L205_ *) % 33.06/33.28 assert (zenon_L206_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e20)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H1b zenon_H37b zenon_H1a9 zenon_H29e. % 33.06/33.28 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H29e. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H1e6. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37c]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H37c. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H1b. % 33.06/33.28 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.28 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H37d]. % 33.06/33.28 congruence. % 33.06/33.28 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H37d. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H1e6. % 33.06/33.28 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 33.06/33.28 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H37e]. % 33.06/33.28 congruence. % 33.06/33.28 exact (zenon_H37e zenon_H37b). % 33.06/33.28 apply zenon_H1e7. apply refl_equal. % 33.06/33.28 apply zenon_H1e7. apply refl_equal. % 33.06/33.28 apply (zenon_L86_); trivial. % 33.06/33.28 apply zenon_H1e7. apply refl_equal. % 33.06/33.28 apply zenon_H1e7. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L206_ *) % 33.06/33.28 assert (zenon_L207_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2bf zenon_H2da zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2ed zenon_H36a zenon_H2bb zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.06/33.28 apply (zenon_L146_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.06/33.28 apply (zenon_L87_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.06/33.28 apply (zenon_L198_); trivial. % 33.06/33.28 apply (zenon_L132_); trivial. % 33.06/33.28 (* end of lemma zenon_L207_ *) % 33.06/33.28 assert (zenon_L208_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2e9 zenon_H36d zenon_H1fb zenon_H2bb zenon_H36a zenon_H1b zenon_H1a9 zenon_H1ac zenon_H2da zenon_H2bf zenon_H24d zenon_H24a zenon_H243 zenon_H1bf. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H276 | zenon_intro zenon_H2eb ]. % 33.06/33.28 exact (zenon_H36d zenon_H276). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H21d | zenon_intro zenon_H2ec ]. % 33.06/33.28 exact (zenon_H1fb zenon_H21d). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ed | zenon_intro zenon_H24e ]. % 33.06/33.28 apply (zenon_L207_); trivial. % 33.06/33.28 apply (zenon_L108_); trivial. % 33.06/33.28 (* end of lemma zenon_L208_ *) % 33.06/33.28 assert (zenon_L209_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H212 zenon_H29e zenon_H1ed zenon_H1bf zenon_H270 zenon_H26a zenon_H23d zenon_H2bb zenon_H261 zenon_H25d zenon_H262 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ca zenon_H266 zenon_H1e5 zenon_H2e9 zenon_H24d zenon_H1ac zenon_H2da zenon_H36a zenon_H2bf zenon_H1fb zenon_H36d zenon_H367. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.06/33.28 apply (zenon_L98_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.06/33.28 apply (zenon_L195_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.06/33.28 apply (zenon_L97_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.06/33.28 apply (zenon_L105_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.06/33.28 apply (zenon_L208_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L111_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.06/33.28 apply (zenon_L114_); trivial. % 33.06/33.28 exact (zenon_H1ca zenon_H1ce). % 33.06/33.28 apply (zenon_L192_); trivial. % 33.06/33.28 apply (zenon_L127_); trivial. % 33.06/33.28 (* end of lemma zenon_L209_ *) % 33.06/33.28 assert (zenon_L210_ : ((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H37f zenon_H1bf zenon_H2aa zenon_H380 zenon_H381 zenon_H230 zenon_H1b zenon_H1a9 zenon_H382. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H383 | zenon_intro zenon_H2a9 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H21f | zenon_intro zenon_H384 ]. % 33.06/33.28 exact (zenon_H380 zenon_H21f). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H220 | zenon_intro zenon_H385 ]. % 33.06/33.28 exact (zenon_H381 zenon_H220). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H22f | zenon_intro zenon_H386 ]. % 33.06/33.28 apply (zenon_L103_); trivial. % 33.06/33.28 exact (zenon_H383 zenon_H386). % 33.06/33.28 apply (zenon_L129_); trivial. % 33.06/33.28 (* end of lemma zenon_L210_ *) % 33.06/33.28 assert (zenon_L211_ : ((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> ((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H294 zenon_H20 zenon_H363 zenon_H37f zenon_H1bf zenon_H2aa zenon_H230 zenon_H1b zenon_H1a9 zenon_H382 zenon_H360 zenon_H262 zenon_H35c zenon_H2b1 zenon_H1c2 zenon_H2b7 zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H76 zenon_H346 zenon_H21 zenon_H334 zenon_H336 zenon_Haf zenon_H31 zenon_H89 zenon_H329 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hf2 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H330 zenon_H13 zenon_Hb4 zenon_H75 zenon_H15 zenon_Hf6 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H136 zenon_H29a. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H380 | zenon_intro zenon_H2d4 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H381 | zenon_intro zenon_H2ed ]. % 33.06/33.28 apply (zenon_L210_); trivial. % 33.06/33.28 apply (zenon_L189_); trivial. % 33.06/33.28 apply (zenon_L191_); trivial. % 33.06/33.28 (* end of lemma zenon_L211_ *) % 33.06/33.28 assert (zenon_L212_ : (~((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> False). % 33.06/33.28 do 0 intro. intros zenon_H387 zenon_H23a zenon_H1a9 zenon_H220. % 33.06/33.28 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e21) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H387. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H23a. % 33.06/33.28 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 33.06/33.28 cut (((op2 (e22) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 33.06/33.28 congruence. % 33.06/33.28 elim (classic ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 33.06/33.28 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e22) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H2ca. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H2cb. % 33.06/33.28 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 33.06/33.28 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 33.06/33.28 congruence. % 33.06/33.28 apply (zenon_L86_); trivial. % 33.06/33.28 apply zenon_H2cc. apply refl_equal. % 33.06/33.28 apply zenon_H2cc. apply refl_equal. % 33.06/33.28 apply zenon_H221. apply sym_equal. exact zenon_H220. % 33.06/33.28 (* end of lemma zenon_L212_ *) % 33.06/33.28 assert (zenon_L213_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H1b zenon_H386 zenon_H23a zenon_H220 zenon_H1a9 zenon_H388. % 33.06/33.28 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.28 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H388. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H26b. % 33.06/33.28 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.28 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H389]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H389. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H1b. % 33.06/33.28 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 33.06/33.28 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38a]. % 33.06/33.28 congruence. % 33.06/33.28 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H26b | zenon_intro zenon_H26c ]. % 33.06/33.28 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H38a. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H26b. % 33.06/33.28 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 33.06/33.28 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H383]. % 33.06/33.28 congruence. % 33.06/33.28 exact (zenon_H383 zenon_H386). % 33.06/33.28 apply zenon_H26c. apply refl_equal. % 33.06/33.28 apply zenon_H26c. apply refl_equal. % 33.06/33.28 apply (zenon_L212_); trivial. % 33.06/33.28 apply zenon_H26c. apply refl_equal. % 33.06/33.28 apply zenon_H26c. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L213_ *) % 33.06/33.28 assert (zenon_L214_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H238 zenon_H388 zenon_H220 zenon_H386 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.06/33.28 apply (zenon_L213_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.06/33.28 apply (zenon_L87_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.06/33.28 apply (zenon_L103_); trivial. % 33.06/33.28 apply (zenon_L93_); trivial. % 33.06/33.28 (* end of lemma zenon_L214_ *) % 33.06/33.28 assert (zenon_L215_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2e1 zenon_H370 zenon_H35c zenon_H1a9 zenon_H1bf zenon_H35b zenon_H2aa zenon_H2b1 zenon_H1c2 zenon_H2b7 zenon_H2d1 zenon_H238 zenon_H1d0 zenon_H230 zenon_H1ac zenon_H220 zenon_H1b zenon_H388 zenon_H38b. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H2af | zenon_intro zenon_H386 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.28 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.28 apply (zenon_L188_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.28 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.28 exact (zenon_H2af zenon_H2a9). % 33.06/33.28 apply (zenon_L214_); trivial. % 33.06/33.28 apply (zenon_L103_); trivial. % 33.06/33.28 (* end of lemma zenon_L215_ *) % 33.06/33.28 assert (zenon_L216_ : ((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22))) -> ((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H38c zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H76 zenon_H346 zenon_H21 zenon_H334 zenon_H336 zenon_Haf zenon_H31 zenon_H89 zenon_H329 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hf2 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H330 zenon_H13 zenon_Hb4 zenon_H75 zenon_H15 zenon_Hf6 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H136 zenon_H2e1 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2e2 zenon_H2e4 zenon_H2db zenon_H253 zenon_H230 zenon_H261 zenon_H1fb zenon_H24d zenon_H2e9 zenon_H274 zenon_H278 zenon_H27a zenon_H1f4 zenon_H27e zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H1b zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H2e3 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1 zenon_H2b5 zenon_H2e5 zenon_H38d zenon_H38b zenon_H388 zenon_H1d0 zenon_H238 zenon_H2d1 zenon_H35c zenon_H370 zenon_H360 zenon_H2ee. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H38e | zenon_intro zenon_H337 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.06/33.28 apply (zenon_L151_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H35f | zenon_intro zenon_H35b ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b0 ]. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.28 exact (zenon_H38e zenon_H337). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.28 exact (zenon_H35f zenon_H35b). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.28 exact (zenon_H262 zenon_H265). % 33.06/33.28 exact (zenon_H2b4 zenon_H2b0). % 33.06/33.28 apply (zenon_L130_); trivial. % 33.06/33.28 apply (zenon_L215_); trivial. % 33.06/33.28 apply (zenon_L185_); trivial. % 33.06/33.28 (* end of lemma zenon_L216_ *) % 33.06/33.28 assert (zenon_L217_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H2a7 zenon_H36a zenon_H252. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H276 | zenon_intro zenon_H2eb ]. % 33.06/33.28 apply (zenon_L118_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H21d | zenon_intro zenon_H2ec ]. % 33.06/33.28 exact (zenon_H1fb zenon_H21d). % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ed | zenon_intro zenon_H24e ]. % 33.06/33.28 apply (zenon_L198_); trivial. % 33.06/33.28 exact (zenon_H252 zenon_H24e). % 33.06/33.28 (* end of lemma zenon_L217_ *) % 33.06/33.28 assert (zenon_L218_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H27e zenon_H252 zenon_H36a zenon_H2a7 zenon_H1fb zenon_H274 zenon_H2e9 zenon_H1b zenon_H278 zenon_H1bf zenon_H1a9 zenon_H27a zenon_H1f9. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H275 | zenon_intro zenon_H27f ]. % 33.06/33.28 apply (zenon_L217_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H22d | zenon_intro zenon_H280 ]. % 33.06/33.28 apply (zenon_L119_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H27b | zenon_intro zenon_H1f3 ]. % 33.06/33.28 apply (zenon_L120_); trivial. % 33.06/33.28 exact (zenon_H1f9 zenon_H1f3). % 33.06/33.28 (* end of lemma zenon_L218_ *) % 33.06/33.28 assert (zenon_L219_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H1c2 zenon_H2b1 zenon_H35b zenon_H35c zenon_H2b7 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H27e zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.28 apply (zenon_L191_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.28 apply (zenon_L188_); trivial. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.28 apply (zenon_L218_); trivial. % 33.06/33.28 apply (zenon_L129_); trivial. % 33.06/33.28 (* end of lemma zenon_L219_ *) % 33.06/33.28 assert (zenon_L220_ : ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H373 zenon_H2ed zenon_H38f. % 33.06/33.28 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H245 | zenon_intro zenon_H1bd ]. % 33.06/33.28 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H38f. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H245. % 33.06/33.28 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.06/33.28 cut (((op2 (e21) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H390]. % 33.06/33.28 congruence. % 33.06/33.28 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e21) (e21)))). % 33.06/33.28 intro zenon_D_pnotp. % 33.06/33.28 apply zenon_H390. % 33.06/33.28 rewrite <- zenon_D_pnotp. % 33.06/33.28 exact zenon_H373. % 33.06/33.28 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H357]. % 33.06/33.28 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.06/33.28 congruence. % 33.06/33.28 apply zenon_H1bd. apply refl_equal. % 33.06/33.28 apply zenon_H357. apply sym_equal. exact zenon_H2ed. % 33.06/33.28 apply zenon_H1bd. apply refl_equal. % 33.06/33.28 apply zenon_H1bd. apply refl_equal. % 33.06/33.28 (* end of lemma zenon_L220_ *) % 33.06/33.28 assert (zenon_L221_ : (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (e23))) -> False). % 33.06/33.28 do 0 intro. intros zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H38f zenon_H373 zenon_H252. % 33.06/33.28 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H276 | zenon_intro zenon_H2eb ]. % 33.06/33.28 apply (zenon_L118_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H21d | zenon_intro zenon_H2ec ]. % 33.06/33.29 exact (zenon_H1fb zenon_H21d). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H2ed | zenon_intro zenon_H24e ]. % 33.06/33.29 apply (zenon_L220_); trivial. % 33.06/33.29 exact (zenon_H252 zenon_H24e). % 33.06/33.29 (* end of lemma zenon_L221_ *) % 33.06/33.29 assert (zenon_L222_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e23))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H378 zenon_H262 zenon_H75 zenon_H76 zenon_H346 zenon_H45 zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H326 zenon_Ha2 zenon_H89 zenon_H10a zenon_H78 zenon_H31f zenon_H3a zenon_H31a zenon_Hf2 zenon_Haf zenon_H32b zenon_H62 zenon_H46 zenon_H3f zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e zenon_H32a zenon_H77 zenon_H329 zenon_Hb4 zenon_H330 zenon_H334 zenon_H21 zenon_H336 zenon_H322 zenon_H360 zenon_H2aa zenon_H1bf zenon_H1a9 zenon_H27e zenon_H36a zenon_H1b zenon_H278 zenon_H27a zenon_H1f9 zenon_H2b7 zenon_H35c zenon_H2b1 zenon_H1c2 zenon_H20 zenon_H363 zenon_H370 zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H38f zenon_H252. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H27b | zenon_intro zenon_H379 ]. % 33.06/33.29 apply (zenon_L120_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ed | zenon_intro zenon_H37a ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.29 apply (zenon_L169_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.29 apply (zenon_L188_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.29 exact (zenon_H262 zenon_H265). % 33.06/33.29 apply (zenon_L130_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H35b | zenon_intro zenon_H373 ]. % 33.06/33.29 apply (zenon_L219_); trivial. % 33.06/33.29 apply (zenon_L221_); trivial. % 33.06/33.29 (* end of lemma zenon_L222_ *) % 33.06/33.29 assert (zenon_L223_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H27e zenon_H2be zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H1ac zenon_H2da zenon_H2bf zenon_H1b zenon_H278 zenon_H1bf zenon_H1a9 zenon_H27a zenon_H1f9. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H275 | zenon_intro zenon_H27f ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.06/33.29 apply (zenon_L146_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.06/33.29 apply (zenon_L87_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.06/33.29 apply (zenon_L217_); trivial. % 33.06/33.29 exact (zenon_H2be zenon_H2bc). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H22d | zenon_intro zenon_H280 ]. % 33.06/33.29 apply (zenon_L119_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H27b | zenon_intro zenon_H1f3 ]. % 33.06/33.29 apply (zenon_L120_); trivial. % 33.06/33.29 exact (zenon_H1f9 zenon_H1f3). % 33.06/33.29 (* end of lemma zenon_L223_ *) % 33.06/33.29 assert (zenon_L224_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H1bb zenon_H386 zenon_H391. % 33.06/33.29 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c4 ]. % 33.06/33.29 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H391. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H1c3. % 33.06/33.29 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.29 cut (((op2 (e23) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H392]. % 33.06/33.29 congruence. % 33.06/33.29 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e23) (e22)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H392. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H1bb. % 33.06/33.29 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38a]. % 33.06/33.29 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 33.06/33.29 congruence. % 33.06/33.29 apply zenon_H1c4. apply refl_equal. % 33.06/33.29 apply zenon_H38a. apply sym_equal. exact zenon_H386. % 33.06/33.29 apply zenon_H1c4. apply refl_equal. % 33.06/33.29 apply zenon_H1c4. apply refl_equal. % 33.06/33.29 (* end of lemma zenon_L224_ *) % 33.06/33.29 assert (zenon_L225_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e22)) = (e23))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H393 zenon_H2de zenon_H391 zenon_H1bb zenon_H2b1 zenon_H1bf zenon_H1a9 zenon_H26f. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H2df | zenon_intro zenon_H394 ]. % 33.06/33.29 apply (zenon_L148_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H386 | zenon_intro zenon_H395 ]. % 33.06/33.29 apply (zenon_L224_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H269 ]. % 33.06/33.29 apply (zenon_L130_); trivial. % 33.06/33.29 exact (zenon_H26f zenon_H269). % 33.06/33.29 (* end of lemma zenon_L225_ *) % 33.06/33.29 assert (zenon_L226_ : (((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))))))))))) -> (~((e11) = (e13))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H138 zenon_H15 zenon_H2e3 zenon_H391 zenon_H26f zenon_H393 zenon_H2bf zenon_H2be zenon_H378 zenon_H38f zenon_H363 zenon_H27e zenon_H1f9 zenon_H1b zenon_H278 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H2e9 zenon_H370 zenon_H75 zenon_Hb4 zenon_H13 zenon_H330 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Hf2 zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H329 zenon_H89 zenon_H31 zenon_Haf zenon_H336 zenon_H334 zenon_H21 zenon_H346 zenon_H76 zenon_H2b7 zenon_H1c2 zenon_H2b1 zenon_H2aa zenon_H35c zenon_H262 zenon_H360 zenon_H1bf zenon_H1a9 zenon_H27a zenon_H1ac zenon_H1d7 zenon_H1bb zenon_H1fc zenon_H2e4 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.29 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.29 apply (zenon_L222_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.29 exact (zenon_H1fb zenon_H21d). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.29 apply (zenon_L87_); trivial. % 33.06/33.29 apply (zenon_L94_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.29 apply (zenon_L223_); trivial. % 33.06/33.29 apply (zenon_L225_); trivial. % 33.06/33.29 apply (zenon_L20_); trivial. % 33.06/33.29 apply (zenon_L21_); trivial. % 33.06/33.29 apply (zenon_L28_); trivial. % 33.06/33.29 apply (zenon_L29_); trivial. % 33.06/33.29 apply (zenon_L30_); trivial. % 33.06/33.29 apply (zenon_L7_); trivial. % 33.06/33.29 apply (zenon_L31_); trivial. % 33.06/33.29 apply (zenon_L2_); trivial. % 33.06/33.29 (* end of lemma zenon_L226_ *) % 33.06/33.29 assert (zenon_L227_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e23))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H378 zenon_H262 zenon_H75 zenon_H76 zenon_Hd3 zenon_Hd2 zenon_H9d zenon_Ha2 zenon_H34 zenon_H8e zenon_Hd5 zenon_Ha4 zenon_Hd7 zenon_H4c zenon_Ha3 zenon_H3f zenon_Hd8 zenon_H43 zenon_H346 zenon_Hb4 zenon_H57 zenon_H13 zenon_H31 zenon_H94 zenon_He3 zenon_Hf2 zenon_Hed zenon_Hf6 zenon_H334 zenon_H21 zenon_H336 zenon_H322 zenon_H360 zenon_H2aa zenon_H1bf zenon_H1a9 zenon_H27e zenon_H36a zenon_H1b zenon_H278 zenon_H27a zenon_H1f9 zenon_H2b7 zenon_H35c zenon_H2b1 zenon_H1c2 zenon_H20 zenon_H363 zenon_H370 zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H38f zenon_H252. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H27b | zenon_intro zenon_H379 ]. % 33.06/33.29 apply (zenon_L120_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ed | zenon_intro zenon_H37a ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.29 apply (zenon_L170_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.29 apply (zenon_L188_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.29 exact (zenon_H262 zenon_H265). % 33.06/33.29 apply (zenon_L130_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H35b | zenon_intro zenon_H373 ]. % 33.06/33.29 apply (zenon_L219_); trivial. % 33.06/33.29 apply (zenon_L221_); trivial. % 33.06/33.29 (* end of lemma zenon_L227_ *) % 33.06/33.29 assert (zenon_L228_ : (((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (e20))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H157 zenon_Hf9 zenon_H33 zenon_Haf zenon_Hfe zenon_H102 zenon_H75 zenon_H6a zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_H69 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_H2e3 zenon_H391 zenon_H26f zenon_H393 zenon_H2bf zenon_H2be zenon_H378 zenon_H38f zenon_H363 zenon_H27e zenon_H1f9 zenon_H1b zenon_H278 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H2e9 zenon_H370 zenon_Hb4 zenon_Hf6 zenon_Hf2 zenon_H336 zenon_H334 zenon_H21 zenon_H322 zenon_H346 zenon_H2b7 zenon_H1c2 zenon_H2b1 zenon_H2aa zenon_H35c zenon_H262 zenon_H360 zenon_H1bf zenon_H1a9 zenon_H27a zenon_H1ac zenon_H1d7 zenon_H1bb zenon_H1fc zenon_H2e4. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.06/33.29 apply (zenon_L54_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.29 apply (zenon_L35_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.29 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.29 apply (zenon_L227_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.29 exact (zenon_H1fb zenon_H21d). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.29 apply (zenon_L87_); trivial. % 33.06/33.29 apply (zenon_L94_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.29 apply (zenon_L223_); trivial. % 33.06/33.29 apply (zenon_L225_); trivial. % 33.06/33.29 apply (zenon_L53_); trivial. % 33.06/33.29 apply (zenon_L60_); trivial. % 33.06/33.29 (* end of lemma zenon_L228_ *) % 33.06/33.29 assert (zenon_L229_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op1 (e10) (e12)) = (e12)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H360 zenon_H334 zenon_H21 zenon_H316 zenon_H336 zenon_H2aa zenon_H27e zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H2e9 zenon_H1b zenon_H278 zenon_H27a zenon_H1f9 zenon_H2b7 zenon_H35c zenon_H1c2 zenon_H20 zenon_H363 zenon_H370 zenon_H262 zenon_H1a9 zenon_H1bf zenon_H2b1. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.29 apply (zenon_L167_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.29 apply (zenon_L219_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.29 exact (zenon_H262 zenon_H265). % 33.06/33.29 apply (zenon_L130_); trivial. % 33.06/33.29 (* end of lemma zenon_L229_ *) % 33.06/33.29 assert (zenon_L230_ : (((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13)))))))))))))))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H170 zenon_H360 zenon_H262 zenon_H363 zenon_H2b7 zenon_H1c2 zenon_H2b1 zenon_H2aa zenon_H1bf zenon_H35c zenon_H27e zenon_H1f9 zenon_H27a zenon_H1b zenon_H278 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H2e9 zenon_H370 zenon_H21 zenon_H334 zenon_H1a9 zenon_H336 zenon_H1ac zenon_H1d7 zenon_H1bb zenon_H1fc zenon_H346 zenon_H31a zenon_H13 zenon_H94 zenon_He3 zenon_H31 zenon_H57 zenon_Hf6 zenon_H9d zenon_H33 zenon_H34 zenon_H6a zenon_H3a zenon_H128 zenon_H4c zenon_H126 zenon_H5e zenon_H5d zenon_H123 zenon_H4f zenon_H3f zenon_H11f zenon_H89 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H69 zenon_Ha2 zenon_H10a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.06/33.29 apply (zenon_L171_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.29 apply (zenon_L229_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.29 exact (zenon_H1fb zenon_H21d). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.29 apply (zenon_L87_); trivial. % 33.06/33.29 apply (zenon_L94_); trivial. % 33.06/33.29 apply (zenon_L172_); trivial. % 33.06/33.29 apply (zenon_L173_); trivial. % 33.06/33.29 (* end of lemma zenon_L230_ *) % 33.06/33.29 assert (zenon_L231_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (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)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H360 zenon_H322 zenon_H6e zenon_H336 zenon_H21 zenon_H334 zenon_H330 zenon_Hb4 zenon_H89 zenon_H69 zenon_H33 zenon_H76 zenon_H34c zenon_H34d zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H34 zenon_H8e zenon_Ha3 zenon_H4c zenon_H94 zenon_H353 zenon_H326 zenon_H1a1 zenon_H43 zenon_H12f zenon_H51 zenon_Hd8 zenon_H31a zenon_H3a zenon_H3f zenon_H31f zenon_Hf2 zenon_Haf zenon_H32b zenon_H133 zenon_He0 zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H4f zenon_H134 zenon_H346 zenon_H1c2 zenon_H2aa zenon_H2ed zenon_H35c zenon_H2b7 zenon_H262 zenon_H1a9 zenon_H1bf zenon_H2b1. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.29 apply (zenon_L184_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.29 apply (zenon_L188_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.29 exact (zenon_H262 zenon_H265). % 33.06/33.29 apply (zenon_L130_); trivial. % 33.06/33.29 (* end of lemma zenon_L231_ *) % 33.06/33.29 assert (zenon_L232_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e23))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H378 zenon_H262 zenon_H346 zenon_H134 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13 zenon_H12c zenon_He0 zenon_H133 zenon_H32b zenon_Haf zenon_Hf2 zenon_H31f zenon_H3f zenon_H3a zenon_H31a zenon_Hd8 zenon_H51 zenon_H12f zenon_H43 zenon_H1a1 zenon_H326 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34d zenon_H34c zenon_H76 zenon_H33 zenon_H69 zenon_H89 zenon_Hb4 zenon_H330 zenon_H334 zenon_H21 zenon_H336 zenon_H6e zenon_H322 zenon_H360 zenon_H2aa zenon_H1bf zenon_H1a9 zenon_H27e zenon_H36a zenon_H1b zenon_H278 zenon_H27a zenon_H1f9 zenon_H2b7 zenon_H35c zenon_H2b1 zenon_H1c2 zenon_H20 zenon_H363 zenon_H370 zenon_H2e9 zenon_H275 zenon_H274 zenon_H1fb zenon_H38f zenon_H252. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H27b | zenon_intro zenon_H379 ]. % 33.06/33.29 apply (zenon_L120_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ed | zenon_intro zenon_H37a ]. % 33.06/33.29 apply (zenon_L231_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H35b | zenon_intro zenon_H373 ]. % 33.06/33.29 apply (zenon_L219_); trivial. % 33.06/33.29 apply (zenon_L221_); trivial. % 33.06/33.29 (* end of lemma zenon_L232_ *) % 33.06/33.29 assert (zenon_L233_ : ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H30d zenon_H1b2 zenon_H2f1 zenon_H2ef zenon_H1bf zenon_H1a9 zenon_H1c2 zenon_H1ca zenon_H270 zenon_H1b9 zenon_H1ba zenon_H30f. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.06/33.29 apply (zenon_L153_); trivial. % 33.06/33.29 apply (zenon_L89_); trivial. % 33.06/33.29 apply (zenon_L154_); trivial. % 33.06/33.29 (* end of lemma zenon_L233_ *) % 33.06/33.29 assert (zenon_L234_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False). % 33.06/33.29 do 0 intro. intros zenon_H396 zenon_H1b2 zenon_H1e2. % 33.06/33.29 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H396. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H1b2. % 33.06/33.29 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H397]. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.29 congruence. % 33.06/33.29 apply zenon_H23f. apply refl_equal. % 33.06/33.29 apply zenon_H397. apply sym_equal. exact zenon_H1e2. % 33.06/33.29 (* end of lemma zenon_L234_ *) % 33.06/33.29 assert (zenon_L235_ : (~((h1 (e13)) = (e23))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H398 zenon_H399 zenon_H1bf. % 33.06/33.29 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (e13)) = (e23))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H398. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H399. % 33.06/33.29 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 33.06/33.29 cut (((h1 (e13)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H39a]. % 33.06/33.29 congruence. % 33.06/33.29 apply zenon_H39a. apply refl_equal. % 33.06/33.29 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.06/33.29 (* end of lemma zenon_L235_ *) % 33.06/33.29 assert (zenon_L236_ : (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> ((op2 (e20) (e23)) = (e20)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H39b zenon_H6e zenon_H1b2 zenon_H21 zenon_H399 zenon_H1bf. % 33.06/33.29 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H39b. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H21. % 33.06/33.29 cut (((e20) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39c]. % 33.06/33.29 cut (((h1 (e10)) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39d]. % 33.06/33.29 congruence. % 33.06/33.29 elim (classic ((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [ zenon_intro zenon_H39e | zenon_intro zenon_H39f ]. % 33.06/33.29 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13)))) = ((h1 (e10)) = (h1 (op1 (e10) (e13))))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H39d. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H39e. % 33.06/33.29 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39f]. % 33.06/33.29 cut (((h1 (op1 (e10) (e13))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3a0]. % 33.06/33.29 congruence. % 33.06/33.29 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3a1]. % 33.06/33.29 congruence. % 33.06/33.29 exact (zenon_H3a1 zenon_H6e). % 33.06/33.29 apply zenon_H39f. apply refl_equal. % 33.06/33.29 apply zenon_H39f. apply refl_equal. % 33.06/33.29 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H3a3 ]. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((e20) = (op2 (h1 (e10)) (h1 (e13))))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H39c. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H3a2. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3a3]. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 33.06/33.29 congruence. % 33.06/33.29 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (h1 (e10)) (h1 (e13))) = (e20))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H3a4. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H1b2. % 33.06/33.29 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 33.06/33.29 congruence. % 33.06/33.29 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H3a3 ]. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H3a5. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H3a2. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3a3]. % 33.06/33.29 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 33.06/33.29 congruence. % 33.06/33.29 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.06/33.29 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 33.06/33.29 congruence. % 33.06/33.29 exact (zenon_H2e zenon_H21). % 33.06/33.29 apply (zenon_L235_); trivial. % 33.06/33.29 apply zenon_H3a3. apply refl_equal. % 33.06/33.29 apply zenon_H3a3. apply refl_equal. % 33.06/33.29 apply zenon_H1a7. apply refl_equal. % 33.06/33.29 apply zenon_H3a3. apply refl_equal. % 33.06/33.29 apply zenon_H3a3. apply refl_equal. % 33.06/33.29 (* end of lemma zenon_L236_ *) % 33.06/33.29 assert (zenon_L237_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e20) (e23)) = (e20)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H136 zenon_Hb4 zenon_H15 zenon_Hbf zenon_Hce zenon_H43 zenon_H4c zenon_Hd8 zenon_Ha4 zenon_Hd5 zenon_Ha3 zenon_H8e zenon_H10a zenon_Ha2 zenon_H76 zenon_H116 zenon_Hdc zenon_H34 zenon_Hc6 zenon_Hd2 zenon_H3f zenon_H75 zenon_Hf6 zenon_H57 zenon_H31 zenon_He3 zenon_H94 zenon_H9d zenon_H1b2 zenon_H21 zenon_H399 zenon_H1bf zenon_H39b zenon_H13. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.29 exact (zenon_H76 zenon_H7b). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.29 exact (zenon_H77 zenon_H7d). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.29 exact (zenon_H78 zenon_H40). % 33.06/33.29 apply (zenon_L236_); trivial. % 33.06/33.29 apply (zenon_L31_); trivial. % 33.06/33.29 apply (zenon_L2_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.29 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.29 apply (zenon_L35_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.29 exact (zenon_H76 zenon_H7b). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.29 apply (zenon_L36_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.29 apply (zenon_L44_); trivial. % 33.06/33.29 apply (zenon_L236_); trivial. % 33.06/33.29 apply (zenon_L53_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.29 apply (zenon_L64_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.29 apply (zenon_L65_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.29 exact (zenon_H76 zenon_H7b). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.29 apply (zenon_L67_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.29 apply (zenon_L9_); trivial. % 33.06/33.29 apply (zenon_L236_); trivial. % 33.06/33.29 apply (zenon_L22_); trivial. % 33.06/33.29 apply (zenon_L78_); trivial. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.29 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.29 apply (zenon_L236_); trivial. % 33.06/33.29 (* end of lemma zenon_L237_ *) % 33.06/33.29 assert (zenon_L238_ : (((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e20) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e20) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e20)) = (e20)))\/((op2 (e21) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e21) (e22)) = (e20)))\/((op2 (e21) (e20)) = (e22)))/\(((~((op2 (e21) (e23)) = (e20)))\/((op2 (e21) (e20)) = (e23)))/\(((~((op2 (e22) (e20)) = (e20)))\/((op2 (e22) (e20)) = (e20)))/\(((~((op2 (e22) (e21)) = (e20)))\/((op2 (e22) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\(((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23)))/\(((~((op2 (e23) (e20)) = (e20)))\/((op2 (e23) (e20)) = (e20)))/\(((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21)))/\(((~((op2 (e23) (e22)) = (e20)))\/((op2 (e23) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H1fa zenon_H1f4 zenon_H1e5 zenon_H136 zenon_H57 zenon_Hf6 zenon_Hdc zenon_H116 zenon_H10a zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_H15 zenon_H75 zenon_H21 zenon_H399 zenon_H1bf zenon_H39b zenon_H76 zenon_Hb4 zenon_H13 zenon_H1dd zenon_H1ed. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.06/33.29 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.06/33.29 apply (zenon_L237_); trivial. % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.06/33.29 exact (zenon_H1de zenon_H1e2). % 33.06/33.29 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.06/33.29 exact (zenon_H1df zenon_H1e3). % 33.06/33.29 exact (zenon_H1c9 zenon_H1cc). % 33.06/33.29 apply (zenon_L97_); trivial. % 33.06/33.29 apply (zenon_L98_); trivial. % 33.06/33.29 apply (zenon_L99_); trivial. % 33.06/33.29 (* end of lemma zenon_L238_ *) % 33.06/33.29 assert (zenon_L239_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e22)) -> False). % 33.06/33.29 do 0 intro. intros zenon_H3a7 zenon_H2b9 zenon_H1bf zenon_H337. % 33.06/33.29 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H3a7. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H2b9. % 33.06/33.29 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 33.06/33.29 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H358]. % 33.06/33.29 congruence. % 33.06/33.29 elim (classic ((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [ zenon_intro zenon_H359 | zenon_intro zenon_H35a ]. % 33.06/33.29 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H358. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H359. % 33.06/33.29 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 33.06/33.29 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 33.06/33.29 congruence. % 33.06/33.29 apply (zenon_L90_); trivial. % 33.06/33.29 apply zenon_H35a. apply refl_equal. % 33.06/33.29 apply zenon_H35a. apply refl_equal. % 33.06/33.29 apply zenon_H3a8. apply sym_equal. exact zenon_H337. % 33.06/33.29 (* end of lemma zenon_L239_ *) % 33.06/33.29 assert (zenon_L240_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False). % 33.06/33.29 do 0 intro. intros zenon_H1a9 zenon_H3a9 zenon_H2b9 zenon_H337 zenon_H1bf zenon_H3aa. % 33.06/33.29 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H3aa. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H23e. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3ab]. % 33.06/33.29 congruence. % 33.06/33.29 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e22)))). % 33.06/33.29 intro zenon_D_pnotp. % 33.06/33.29 apply zenon_H3ab. % 33.06/33.29 rewrite <- zenon_D_pnotp. % 33.06/33.29 exact zenon_H1a9. % 33.06/33.29 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3a7]. % 33.06/33.29 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 33.06/33.29 congruence. % 33.06/33.29 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.29 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3ac. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H23e. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.30 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 33.06/33.30 congruence. % 33.06/33.30 exact (zenon_H3ad zenon_H3a9). % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply (zenon_L239_); trivial. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 (* end of lemma zenon_L240_ *) % 33.06/33.30 assert (zenon_L241_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e20) (e23)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3ae zenon_H13 zenon_H39b zenon_H399 zenon_H21 zenon_H9d zenon_H94 zenon_He3 zenon_H31 zenon_H57 zenon_Hf6 zenon_H75 zenon_H3f zenon_Hd2 zenon_Hc6 zenon_H34 zenon_Hdc zenon_H116 zenon_H76 zenon_Ha2 zenon_H10a zenon_H8e zenon_Ha3 zenon_Hd5 zenon_Ha4 zenon_Hd8 zenon_H4c zenon_H43 zenon_Hce zenon_Hbf zenon_H15 zenon_Hb4 zenon_H136 zenon_H1b8 zenon_H3aa zenon_H337 zenon_H2b9 zenon_H1a9 zenon_H1bf zenon_H23d. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H3af ]. % 33.06/33.30 apply (zenon_L237_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3b0 ]. % 33.06/33.30 exact (zenon_H1b8 zenon_H1b3). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H23c ]. % 33.06/33.30 apply (zenon_L240_); trivial. % 33.06/33.30 apply (zenon_L105_); trivial. % 33.06/33.30 (* end of lemma zenon_L241_ *) % 33.06/33.30 assert (zenon_L242_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H2b7 zenon_H23d zenon_H337 zenon_H3aa zenon_H1b8 zenon_H136 zenon_Hb4 zenon_H15 zenon_Hbf zenon_Hce zenon_H43 zenon_H4c zenon_Hd8 zenon_Ha4 zenon_Hd5 zenon_Ha3 zenon_H8e zenon_H10a zenon_Ha2 zenon_H76 zenon_H116 zenon_Hdc zenon_H34 zenon_Hc6 zenon_Hd2 zenon_H3f zenon_H75 zenon_Hf6 zenon_H57 zenon_H31 zenon_He3 zenon_H94 zenon_H9d zenon_H21 zenon_H399 zenon_H39b zenon_H13 zenon_H3ae zenon_H2aa zenon_H2b1 zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2b8 ]. % 33.06/33.30 apply (zenon_L241_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2ba ]. % 33.06/33.30 apply (zenon_L129_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H1c1 ]. % 33.06/33.30 apply (zenon_L130_); trivial. % 33.06/33.30 apply (zenon_L91_); trivial. % 33.06/33.30 (* end of lemma zenon_L242_ *) % 33.06/33.30 assert (zenon_L243_ : (((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))))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e20) (e23)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H360 zenon_H3ae zenon_H13 zenon_H39b zenon_H399 zenon_H21 zenon_H9d zenon_H94 zenon_He3 zenon_H31 zenon_H57 zenon_Hf6 zenon_H75 zenon_H3f zenon_Hd2 zenon_Hc6 zenon_H34 zenon_Hdc zenon_H116 zenon_H76 zenon_Ha2 zenon_H10a zenon_H8e zenon_Ha3 zenon_Hd5 zenon_Ha4 zenon_Hd8 zenon_H4c zenon_H43 zenon_Hce zenon_Hbf zenon_H15 zenon_Hb4 zenon_H136 zenon_H1b8 zenon_H3aa zenon_H23d zenon_H1c2 zenon_H2aa zenon_H2ed zenon_H35c zenon_H2b7 zenon_H262 zenon_H1a9 zenon_H1bf zenon_H2b1. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H337 | zenon_intro zenon_H361 ]. % 33.06/33.30 apply (zenon_L242_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H35b | zenon_intro zenon_H362 ]. % 33.06/33.30 apply (zenon_L188_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H265 | zenon_intro zenon_H2b0 ]. % 33.06/33.30 exact (zenon_H262 zenon_H265). % 33.06/33.30 apply (zenon_L130_); trivial. % 33.06/33.30 (* end of lemma zenon_L243_ *) % 33.06/33.30 assert (zenon_L244_ : ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H1b zenon_H1b3 zenon_H23a zenon_H20 zenon_H1a9 zenon_H3b1. % 33.06/33.30 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b1. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H23e. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b2. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H1b. % 33.06/33.30 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 33.06/33.30 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3b3]. % 33.06/33.30 congruence. % 33.06/33.30 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23e | zenon_intro zenon_H23f ]. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b3. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H23e. % 33.06/33.30 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.06/33.30 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 33.06/33.30 congruence. % 33.06/33.30 exact (zenon_H1b8 zenon_H1b3). % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply (zenon_L137_); trivial. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 apply zenon_H23f. apply refl_equal. % 33.06/33.30 (* end of lemma zenon_L244_ *) % 33.06/33.30 assert (zenon_L245_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H1fc zenon_H1b3 zenon_H3b1 zenon_H1fb zenon_H2d5 zenon_H1f4 zenon_H261 zenon_H254 zenon_H253 zenon_H262 zenon_H266 zenon_H23d zenon_H24d zenon_H25d zenon_H2c2 zenon_H238 zenon_H1ca zenon_H1bf zenon_H257 zenon_H26a zenon_H2d0 zenon_H2bb zenon_H2a3 zenon_H28b zenon_H2bf zenon_H2cd zenon_H2d1 zenon_H282 zenon_H1e5 zenon_H270 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.06/33.30 apply (zenon_L244_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.06/33.30 apply (zenon_L87_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.06/33.30 apply (zenon_L103_); trivial. % 33.06/33.30 apply (zenon_L93_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.06/33.30 exact (zenon_H1fb zenon_H21d). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.06/33.30 apply (zenon_L87_); trivial. % 33.06/33.30 apply (zenon_L142_); trivial. % 33.06/33.30 (* end of lemma zenon_L245_ *) % 33.06/33.30 assert (zenon_L246_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H2db zenon_H275 zenon_H274 zenon_H1d0 zenon_H230 zenon_H282 zenon_H2d1 zenon_H2cd zenon_H28b zenon_H2d0 zenon_H238 zenon_H2c2 zenon_H24d zenon_H262 zenon_H253 zenon_H261 zenon_H1f4 zenon_H2d5 zenon_H1fb zenon_H3b1 zenon_H1b3 zenon_H1fc zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bf zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2a3 zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.06/33.30 apply (zenon_L135_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.06/33.30 apply (zenon_L118_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.06/33.30 apply (zenon_L245_); trivial. % 33.06/33.30 apply (zenon_L145_); trivial. % 33.06/33.30 (* end of lemma zenon_L246_ *) % 33.06/33.30 assert (zenon_L247_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H1bf zenon_H3b4 zenon_H3b5. % 33.06/33.30 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H222 ]. % 33.06/33.30 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b5. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3b6. % 33.06/33.30 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 33.06/33.30 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b7. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H1bf. % 33.06/33.30 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 33.06/33.30 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3b8]. % 33.06/33.30 congruence. % 33.06/33.30 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H222 ]. % 33.06/33.30 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3b8. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3b6. % 33.06/33.30 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 33.06/33.30 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3b9]. % 33.06/33.30 congruence. % 33.06/33.30 exact (zenon_H3b9 zenon_H3b4). % 33.06/33.30 apply zenon_H222. apply refl_equal. % 33.06/33.30 apply zenon_H222. apply refl_equal. % 33.06/33.30 apply zenon_H1e9. apply refl_equal. % 33.06/33.30 apply zenon_H222. apply refl_equal. % 33.06/33.30 apply zenon_H222. apply refl_equal. % 33.06/33.30 (* end of lemma zenon_L247_ *) % 33.06/33.30 assert (zenon_L248_ : ((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3ba zenon_H3b5 zenon_H2e5 zenon_H2b5 zenon_H2b1 zenon_H2aa zenon_H1c2 zenon_H2b7 zenon_H2e3 zenon_H27e zenon_H27a zenon_H278 zenon_H136 zenon_H57 zenon_Hf6 zenon_Hdc zenon_H116 zenon_H10a zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_H15 zenon_H75 zenon_H21 zenon_H399 zenon_H39b zenon_H76 zenon_Hb4 zenon_H13 zenon_H2db zenon_H238 zenon_H1d0 zenon_H230 zenon_H3b1 zenon_H1fb zenon_H2d5 zenon_H2cd zenon_H2d1 zenon_H282 zenon_H2d0 zenon_H2c2 zenon_H253 zenon_H261 zenon_H24d zenon_H1f4 zenon_H1fc zenon_H274 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H1b zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H3ae zenon_H2e4 zenon_H2e2 zenon_H29e zenon_H1a9 zenon_H1bf zenon_H262 zenon_H2a2 zenon_H2e1. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H3ad | zenon_intro zenon_H3b4 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.06/33.30 apply (zenon_L128_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.06/33.30 apply (zenon_L131_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.30 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3ae); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H3af ]. % 33.06/33.30 apply (zenon_L237_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3b0 ]. % 33.06/33.30 apply (zenon_L246_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H23c ]. % 33.06/33.30 exact (zenon_H3ad zenon_H3a9). % 33.06/33.30 apply (zenon_L105_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.30 apply (zenon_L147_); trivial. % 33.06/33.30 apply (zenon_L148_); trivial. % 33.06/33.30 apply (zenon_L103_); trivial. % 33.06/33.30 apply (zenon_L247_); trivial. % 33.06/33.30 (* end of lemma zenon_L248_ *) % 33.06/33.30 assert (zenon_L249_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H2f3 zenon_H13 zenon_Hb4 zenon_H76 zenon_H39b zenon_H399 zenon_H21 zenon_H75 zenon_H15 zenon_Hc6 zenon_H8e zenon_H34 zenon_H31 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_H43 zenon_H4c zenon_H3f zenon_Hd8 zenon_H94 zenon_Ha4 zenon_H9d zenon_Ha2 zenon_Hd5 zenon_Ha3 zenon_H10a zenon_H116 zenon_Hdc zenon_Hf6 zenon_H57 zenon_H136 zenon_H1bf. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.06/33.30 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.06/33.30 apply (zenon_L237_); trivial. % 33.06/33.30 (* end of lemma zenon_L249_ *) % 33.06/33.30 assert (zenon_L250_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 33.06/33.30 do 0 intro. intros zenon_Hc6 zenon_H351 zenon_Hd3. % 33.06/33.30 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_Hc6. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H351. % 33.06/33.30 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 33.06/33.30 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 33.06/33.30 congruence. % 33.06/33.30 apply zenon_Had. apply refl_equal. % 33.06/33.30 apply zenon_Hd4. apply sym_equal. exact zenon_Hd3. % 33.06/33.30 (* end of lemma zenon_L250_ *) % 33.06/33.30 assert (zenon_L251_ : ((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H154 zenon_H31 zenon_H34 zenon_H89 zenon_H77 zenon_H32a zenon_Hc6 zenon_H351 zenon_H329. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.06/33.30 exact (zenon_H77 zenon_H7d). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.06/33.30 exact (zenon_H32a zenon_Hfb). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.06/33.30 apply (zenon_L250_); trivial. % 33.06/33.30 exact (zenon_H45 zenon_H4a). % 33.06/33.30 apply (zenon_L21_); trivial. % 33.06/33.30 (* end of lemma zenon_L251_ *) % 33.06/33.30 assert (zenon_L252_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10))) -> ((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H144 zenon_H33 zenon_H14e zenon_H89 zenon_H353 zenon_H3bb zenon_H76 zenon_Ha1 zenon_H81 zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H13 zenon_H5e zenon_H5d zenon_H94 zenon_Ha4 zenon_H152 zenon_H154 zenon_H77 zenon_Hc6 zenon_H329 zenon_H14a. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H3bc | zenon_intro zenon_H351 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H7b | zenon_intro zenon_H354 ]. % 33.06/33.30 exact (zenon_H76 zenon_H7b). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_Hfa | zenon_intro zenon_H355 ]. % 33.06/33.30 exact (zenon_H3bb zenon_Hfa). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H351 | zenon_intro zenon_H48 ]. % 33.06/33.30 exact (zenon_H3bc zenon_H351). % 33.06/33.30 exact (zenon_H44 zenon_H48). % 33.06/33.30 apply (zenon_L28_); trivial. % 33.06/33.30 apply (zenon_L29_); trivial. % 33.06/33.30 apply (zenon_L251_); trivial. % 33.06/33.30 apply (zenon_L7_); trivial. % 33.06/33.30 (* end of lemma zenon_L252_ *) % 33.06/33.30 assert (zenon_L253_ : (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op2 (e21) (e20)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3bd zenon_Hfa zenon_H275 zenon_H1a zenon_H1b zenon_H21. % 33.06/33.30 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3bd. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H21. % 33.06/33.30 cut (((e20) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3be]. % 33.06/33.30 cut (((h1 (e10)) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3bf]. % 33.06/33.30 congruence. % 33.06/33.30 elim (classic ((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [ zenon_intro zenon_H3c0 | zenon_intro zenon_H3c1 ]. % 33.06/33.30 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10)))) = ((h1 (e10)) = (h1 (op1 (e11) (e10))))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3bf. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3c0. % 33.06/33.30 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c1]. % 33.06/33.30 cut (((h1 (op1 (e11) (e10))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c2]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 33.06/33.30 congruence. % 33.06/33.30 exact (zenon_H3bb zenon_Hfa). % 33.06/33.30 apply zenon_H3c1. apply refl_equal. % 33.06/33.30 apply zenon_H3c1. apply refl_equal. % 33.06/33.30 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ]. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((e20) = (op2 (h1 (e11)) (h1 (e10))))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3be. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3c3. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c4]. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c5]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (h1 (e11)) (h1 (e10))) = (e20))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3c5. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H275. % 33.06/33.30 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.06/33.30 cut (((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c6]. % 33.06/33.30 congruence. % 33.06/33.30 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ]. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3c6. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3c3. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c4]. % 33.06/33.30 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 33.06/33.30 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.06/33.30 congruence. % 33.06/33.30 apply (zenon_L3_); trivial. % 33.06/33.30 exact (zenon_H2e zenon_H21). % 33.06/33.30 apply zenon_H3c4. apply refl_equal. % 33.06/33.30 apply zenon_H3c4. apply refl_equal. % 33.06/33.30 apply zenon_H1a7. apply refl_equal. % 33.06/33.30 apply zenon_H3c4. apply refl_equal. % 33.06/33.30 apply zenon_H3c4. apply refl_equal. % 33.06/33.30 (* end of lemma zenon_L253_ *) % 33.06/33.30 assert (zenon_L254_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e12)) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H353 zenon_H76 zenon_H21 zenon_H1b zenon_H1a zenon_H275 zenon_H3bd zenon_Hc6 zenon_H62 zenon_Hd5 zenon_H9d zenon_H31 zenon_H13 zenon_Hd7 zenon_Ha3 zenon_Ha2 zenon_H34 zenon_H8e zenon_Hda zenon_Ha4 zenon_Hd3 zenon_Hdc zenon_H94. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H7b | zenon_intro zenon_H354 ]. % 33.06/33.30 exact (zenon_H76 zenon_H7b). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_Hfa | zenon_intro zenon_H355 ]. % 33.06/33.30 apply (zenon_L253_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H351 | zenon_intro zenon_H48 ]. % 33.06/33.30 apply (zenon_L250_); trivial. % 33.06/33.30 apply (zenon_L49_); trivial. % 33.06/33.30 (* end of lemma zenon_L254_ *) % 33.06/33.30 assert (zenon_L255_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (e12))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H116 zenon_H351 zenon_Hc6 zenon_H31 zenon_H34 zenon_H10b zenon_H9e zenon_Hdc. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H117 ]. % 33.06/33.30 apply (zenon_L250_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H118 ]. % 33.06/33.30 apply (zenon_L34_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ]. % 33.06/33.30 exact (zenon_H10b zenon_H10f). % 33.06/33.30 apply (zenon_L66_); trivial. % 33.06/33.30 (* end of lemma zenon_L255_ *) % 33.06/33.30 assert (zenon_L256_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.30 do 0 intro. intros zenon_H353 zenon_H76 zenon_H21 zenon_H1b zenon_H1a zenon_H275 zenon_H3bd zenon_Hdc zenon_H9e zenon_H10b zenon_H34 zenon_H31 zenon_Hc6 zenon_H116 zenon_H94 zenon_H41. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H7b | zenon_intro zenon_H354 ]. % 33.06/33.30 exact (zenon_H76 zenon_H7b). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_Hfa | zenon_intro zenon_H355 ]. % 33.06/33.30 apply (zenon_L253_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H351 | zenon_intro zenon_H48 ]. % 33.06/33.30 apply (zenon_L255_); trivial. % 33.06/33.30 apply (zenon_L23_); trivial. % 33.06/33.30 (* end of lemma zenon_L256_ *) % 33.06/33.30 assert (zenon_L257_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (e13))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e12)) = (e13))) -> (~((op1 (e11) (e13)) = (e13))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3c8 zenon_H101 zenon_H34d zenon_H3c9 zenon_H3ca. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3c8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H3cb ]. % 33.06/33.30 exact (zenon_H101 zenon_Hfd). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3cb); [ zenon_intro zenon_H350 | zenon_intro zenon_H3cc ]. % 33.06/33.30 exact (zenon_H34d zenon_H350). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3cc); [ zenon_intro zenon_H3ce | zenon_intro zenon_H3cd ]. % 33.06/33.30 exact (zenon_H3c9 zenon_H3ce). % 33.06/33.30 exact (zenon_H3ca zenon_H3cd). % 33.06/33.30 (* end of lemma zenon_L257_ *) % 33.06/33.30 assert (zenon_L258_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False). % 33.06/33.30 do 0 intro. intros zenon_H326 zenon_H3cd zenon_H3cf. % 33.06/33.30 cut (((op1 (e11) (e13)) = (e13)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H326. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H3cd. % 33.06/33.30 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3d0]. % 33.06/33.30 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 33.06/33.30 congruence. % 33.06/33.30 apply zenon_H53. apply refl_equal. % 33.06/33.30 apply zenon_H3d0. apply sym_equal. exact zenon_H3cf. % 33.06/33.30 (* end of lemma zenon_L258_ *) % 33.06/33.30 assert (zenon_L259_ : ((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (e13))) -> (~((op1 (e12) (e11)) = (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H1a3 zenon_H3cd zenon_H326 zenon_H3d1 zenon_H3d2 zenon_H352 zenon_H3d3. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3cf ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H3d6 | zenon_intro zenon_H3d5 ]. % 33.06/33.30 exact (zenon_H3d1 zenon_H3d6). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3d5); [ zenon_intro zenon_H113 | zenon_intro zenon_H3d7 ]. % 33.06/33.30 exact (zenon_H3d2 zenon_H113). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H9e | zenon_intro zenon_H3cf ]. % 33.06/33.30 exact (zenon_H352 zenon_H9e). % 33.06/33.30 exact (zenon_H3d4 zenon_H3cf). % 33.06/33.30 apply (zenon_L258_); trivial. % 33.06/33.30 (* end of lemma zenon_L259_ *) % 33.06/33.30 assert (zenon_L260_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H110 zenon_H10f zenon_H3d8. % 33.06/33.30 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 33.06/33.30 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3d8. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_Hc0. % 33.06/33.30 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 33.06/33.30 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 33.06/33.30 congruence. % 33.06/33.30 cut (((op1 (e12) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3d9. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H110. % 33.06/33.30 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 33.06/33.30 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 33.06/33.30 congruence. % 33.06/33.30 apply zenon_Hc1. apply refl_equal. % 33.06/33.30 apply zenon_H3da. apply sym_equal. exact zenon_H10f. % 33.06/33.30 apply zenon_Hc1. apply refl_equal. % 33.06/33.30 apply zenon_Hc1. apply refl_equal. % 33.06/33.30 (* end of lemma zenon_L260_ *) % 33.06/33.30 assert (zenon_L261_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (e13))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H116 zenon_H351 zenon_Hc6 zenon_H31 zenon_H34 zenon_H3d8 zenon_H110 zenon_H3d2. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H117 ]. % 33.06/33.30 apply (zenon_L250_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H118 ]. % 33.06/33.30 apply (zenon_L34_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H10f | zenon_intro zenon_H113 ]. % 33.06/33.30 apply (zenon_L260_); trivial. % 33.06/33.30 exact (zenon_H3d2 zenon_H113). % 33.06/33.30 (* end of lemma zenon_L261_ *) % 33.06/33.30 assert (zenon_L262_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e12) (e11)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H353 zenon_H76 zenon_H21 zenon_H1b zenon_H1a zenon_H275 zenon_H3bd zenon_H3d2 zenon_H110 zenon_H3d8 zenon_H34 zenon_Hc6 zenon_H116 zenon_Ha3 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H353); [ zenon_intro zenon_H7b | zenon_intro zenon_H354 ]. % 33.06/33.30 exact (zenon_H76 zenon_H7b). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_Hfa | zenon_intro zenon_H355 ]. % 33.06/33.30 apply (zenon_L253_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H351 | zenon_intro zenon_H48 ]. % 33.06/33.30 apply (zenon_L261_); trivial. % 33.06/33.30 apply (zenon_L174_); trivial. % 33.06/33.30 (* end of lemma zenon_L262_ *) % 33.06/33.30 assert (zenon_L263_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3db zenon_H6e zenon_H3dc. % 33.06/33.30 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3db. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H6e. % 33.06/33.30 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 33.06/33.30 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 33.06/33.30 congruence. % 33.06/33.30 apply zenon_He1. apply refl_equal. % 33.06/33.30 apply zenon_H3dd. apply sym_equal. exact zenon_H3dc. % 33.06/33.30 (* end of lemma zenon_L263_ *) % 33.06/33.30 assert (zenon_L264_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False). % 33.06/33.30 do 0 intro. intros zenon_H3de zenon_H6e zenon_H3df. % 33.06/33.30 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 33.06/33.30 intro zenon_D_pnotp. % 33.06/33.30 apply zenon_H3de. % 33.06/33.30 rewrite <- zenon_D_pnotp. % 33.06/33.30 exact zenon_H6e. % 33.06/33.30 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e0]. % 33.06/33.30 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 33.06/33.30 congruence. % 33.06/33.30 apply zenon_He1. apply refl_equal. % 33.06/33.30 apply zenon_H3e0. apply sym_equal. exact zenon_H3df. % 33.06/33.30 (* end of lemma zenon_L264_ *) % 33.06/33.30 assert (zenon_L265_ : (((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e20) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e20) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e20)) = (e20)))\/((op2 (e21) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e21) (e22)) = (e20)))\/((op2 (e21) (e20)) = (e22)))/\(((~((op2 (e21) (e23)) = (e20)))\/((op2 (e21) (e20)) = (e23)))/\(((~((op2 (e22) (e20)) = (e20)))\/((op2 (e22) (e20)) = (e20)))/\(((~((op2 (e22) (e21)) = (e20)))\/((op2 (e22) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\(((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23)))/\(((~((op2 (e23) (e20)) = (e20)))\/((op2 (e23) (e20)) = (e20)))/\(((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21)))/\(((~((op2 (e23) (e22)) = (e20)))\/((op2 (e23) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))))))))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H1fa zenon_H1a zenon_H21 zenon_H3bd zenon_H329 zenon_Hc6 zenon_Ha4 zenon_H94 zenon_H5d zenon_H5e zenon_H13 zenon_H57 zenon_H4c zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_H81 zenon_H76 zenon_H353 zenon_H89 zenon_H33 zenon_H15 zenon_Hbf zenon_Hce zenon_He3 zenon_H62 zenon_Hdc zenon_Hda zenon_Hd5 zenon_H10a zenon_H116 zenon_Hf6 zenon_H3de zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_H3c8 zenon_H3db zenon_H3d8 zenon_H12e zenon_He0 zenon_H3d3 zenon_H326 zenon_H4f zenon_H136 zenon_H1a9 zenon_H27a zenon_H3e1 zenon_H1f4 zenon_H1bf zenon_H278 zenon_H1b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H3e2 | zenon_intro zenon_H275 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H36d | zenon_intro zenon_H22d ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H27b ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3e1); [ zenon_intro zenon_H275 | zenon_intro zenon_H3e4 ]. % 33.06/33.30 exact (zenon_H3e2 zenon_H275). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H276 | zenon_intro zenon_H3e5 ]. % 33.06/33.30 exact (zenon_H36d zenon_H276). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H1e2 ]. % 33.06/33.30 exact (zenon_H3e3 zenon_H3e6). % 33.06/33.30 exact (zenon_H1de zenon_H1e2). % 33.06/33.30 apply (zenon_L99_); trivial. % 33.06/33.30 apply (zenon_L120_); trivial. % 33.06/33.30 apply (zenon_L119_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H3bb | zenon_intro zenon_Hfa ]. % 33.06/33.30 apply (zenon_L252_); trivial. % 33.06/33.30 apply (zenon_L253_); trivial. % 33.06/33.30 apply (zenon_L2_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.30 apply (zenon_L35_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.30 apply (zenon_L254_); trivial. % 33.06/33.30 apply (zenon_L53_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.30 apply (zenon_L64_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.30 apply (zenon_L65_); trivial. % 33.06/33.30 apply (zenon_L256_); trivial. % 33.06/33.30 apply (zenon_L22_); trivial. % 33.06/33.30 apply (zenon_L78_); trivial. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.30 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.06/33.30 apply (zenon_L257_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.06/33.30 apply (zenon_L259_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.30 apply (zenon_L79_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.30 apply (zenon_L262_); trivial. % 33.06/33.30 apply (zenon_L14_); trivial. % 33.06/33.30 apply (zenon_L52_); trivial. % 33.06/33.30 apply (zenon_L33_); trivial. % 33.06/33.30 apply (zenon_L263_); trivial. % 33.06/33.30 apply (zenon_L182_); trivial. % 33.06/33.30 apply (zenon_L80_); trivial. % 33.06/33.30 apply (zenon_L264_); trivial. % 33.06/33.30 (* end of lemma zenon_L265_ *) % 33.06/33.30 assert (zenon_L266_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H393 zenon_H2de zenon_H383 zenon_H2b1 zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H26a. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H2df | zenon_intro zenon_H394 ]. % 33.06/33.30 apply (zenon_L148_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H386 | zenon_intro zenon_H395 ]. % 33.06/33.30 exact (zenon_H383 zenon_H386). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H269 ]. % 33.06/33.30 apply (zenon_L130_); trivial. % 33.06/33.30 apply (zenon_L115_); trivial. % 33.06/33.30 (* end of lemma zenon_L266_ *) % 33.06/33.30 assert (zenon_L267_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.06/33.30 do 0 intro. intros zenon_H28e zenon_H136 zenon_H4f zenon_H326 zenon_H3d3 zenon_He0 zenon_H12e zenon_H3d8 zenon_H3db zenon_H3c8 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H3de zenon_Hf6 zenon_H116 zenon_H10a zenon_H62 zenon_Hdc zenon_Hda zenon_Hd5 zenon_He3 zenon_Hce zenon_Hbf zenon_H15 zenon_H33 zenon_H89 zenon_H353 zenon_H76 zenon_H81 zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H13 zenon_H5e zenon_H5d zenon_H94 zenon_Ha4 zenon_Hc6 zenon_H329 zenon_H2e3 zenon_H2b1 zenon_H1bf zenon_H261 zenon_H26a zenon_H262 zenon_H253 zenon_H393 zenon_H1a zenon_H21 zenon_H3bd zenon_H2e4 zenon_H2aa zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.06/33.30 apply (zenon_L104_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H383 | zenon_intro zenon_H2a9 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H3bb | zenon_intro zenon_Hfa ]. % 33.06/33.30 apply (zenon_L252_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.30 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.30 apply (zenon_L253_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.30 apply (zenon_L146_); trivial. % 33.06/33.30 apply (zenon_L266_); trivial. % 33.06/33.30 apply (zenon_L2_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.30 apply (zenon_L35_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.30 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.30 apply (zenon_L254_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.30 apply (zenon_L146_); trivial. % 33.06/33.30 apply (zenon_L266_); trivial. % 33.06/33.30 apply (zenon_L53_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.30 apply (zenon_L64_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.30 apply (zenon_L65_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.30 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.30 apply (zenon_L256_); trivial. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.30 apply (zenon_L146_); trivial. % 33.06/33.30 apply (zenon_L266_); trivial. % 33.06/33.30 apply (zenon_L22_); trivial. % 33.06/33.30 apply (zenon_L78_); trivial. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.30 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.30 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.06/33.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.06/33.31 apply (zenon_L257_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.06/33.31 apply (zenon_L259_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.31 apply (zenon_L79_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L262_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L146_); trivial. % 33.06/33.31 apply (zenon_L266_); trivial. % 33.06/33.31 apply (zenon_L14_); trivial. % 33.06/33.31 apply (zenon_L52_); trivial. % 33.06/33.31 apply (zenon_L33_); trivial. % 33.06/33.31 apply (zenon_L263_); trivial. % 33.06/33.31 apply (zenon_L182_); trivial. % 33.06/33.31 apply (zenon_L80_); trivial. % 33.06/33.31 apply (zenon_L264_); trivial. % 33.06/33.31 apply (zenon_L129_); trivial. % 33.06/33.31 (* end of lemma zenon_L267_ *) % 33.06/33.31 assert (zenon_L268_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H3f0 zenon_H230 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2e4 zenon_H3bd zenon_H21 zenon_H1b zenon_H1a zenon_H2db zenon_H274 zenon_H278 zenon_H27a zenon_H1f4 zenon_H27e zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H2e3 zenon_H329 zenon_Hc6 zenon_Ha4 zenon_H94 zenon_H5d zenon_H5e zenon_H13 zenon_H57 zenon_H4c zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_H81 zenon_H76 zenon_H353 zenon_H89 zenon_H33 zenon_H15 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd5 zenon_Hda zenon_Hdc zenon_H62 zenon_H10a zenon_H116 zenon_Hf6 zenon_H3de zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_H3c8 zenon_H3db zenon_H3d8 zenon_H12e zenon_He0 zenon_H3d3 zenon_H326 zenon_H4f zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.06/33.31 apply (zenon_L128_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.06/33.31 apply (zenon_L131_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H3bb | zenon_intro zenon_Hfa ]. % 33.06/33.31 apply (zenon_L252_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L253_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L147_); trivial. % 33.06/33.31 apply (zenon_L148_); trivial. % 33.06/33.31 apply (zenon_L2_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.31 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.31 apply (zenon_L35_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L254_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L147_); trivial. % 33.06/33.31 apply (zenon_L148_); trivial. % 33.06/33.31 apply (zenon_L53_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.31 apply (zenon_L64_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.31 apply (zenon_L65_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L256_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L147_); trivial. % 33.06/33.31 apply (zenon_L148_); trivial. % 33.06/33.31 apply (zenon_L22_); trivial. % 33.06/33.31 apply (zenon_L78_); trivial. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.31 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.06/33.31 apply (zenon_L257_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.06/33.31 apply (zenon_L259_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.31 apply (zenon_L79_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L262_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L147_); trivial. % 33.06/33.31 apply (zenon_L148_); trivial. % 33.06/33.31 apply (zenon_L14_); trivial. % 33.06/33.31 apply (zenon_L52_); trivial. % 33.06/33.31 apply (zenon_L33_); trivial. % 33.06/33.31 apply (zenon_L263_); trivial. % 33.06/33.31 apply (zenon_L182_); trivial. % 33.06/33.31 apply (zenon_L80_); trivial. % 33.06/33.31 apply (zenon_L264_); trivial. % 33.06/33.31 apply (zenon_L103_); trivial. % 33.06/33.31 (* end of lemma zenon_L268_ *) % 33.06/33.31 assert (zenon_L269_ : ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H307 zenon_H1d0 zenon_H30f zenon_H136 zenon_H4f zenon_H326 zenon_H3d3 zenon_He0 zenon_H12e zenon_H3d8 zenon_H3db zenon_H3c8 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H3de zenon_Hf6 zenon_H116 zenon_H10a zenon_H62 zenon_Hdc zenon_Hda zenon_Hd5 zenon_He3 zenon_Hce zenon_Hbf zenon_H15 zenon_H33 zenon_H89 zenon_H353 zenon_H76 zenon_H81 zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H13 zenon_H5e zenon_H5d zenon_H94 zenon_Ha4 zenon_Hc6 zenon_H329 zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H2bf zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H2e9 zenon_H1ac zenon_H278 zenon_H27a zenon_H1f9 zenon_H27e zenon_H1a zenon_H1b zenon_H21 zenon_H3bd zenon_H2e4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H2f1 zenon_H1b2 zenon_H30d. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.06/33.31 apply (zenon_L153_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H3bb | zenon_intro zenon_Hfa ]. % 33.06/33.31 apply (zenon_L252_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L253_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L223_); trivial. % 33.06/33.31 apply (zenon_L225_); trivial. % 33.06/33.31 apply (zenon_L2_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.31 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.06/33.31 apply (zenon_L35_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L254_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L223_); trivial. % 33.06/33.31 apply (zenon_L225_); trivial. % 33.06/33.31 apply (zenon_L53_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.31 apply (zenon_L64_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.31 apply (zenon_L65_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L256_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L223_); trivial. % 33.06/33.31 apply (zenon_L225_); trivial. % 33.06/33.31 apply (zenon_L22_); trivial. % 33.06/33.31 apply (zenon_L78_); trivial. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.31 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.06/33.31 apply (zenon_L257_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.06/33.31 apply (zenon_L259_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.31 apply (zenon_L79_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.06/33.31 exact (zenon_H2e4 zenon_H2e7). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.06/33.31 apply (zenon_L262_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.06/33.31 apply (zenon_L223_); trivial. % 33.06/33.31 apply (zenon_L225_); trivial. % 33.06/33.31 apply (zenon_L14_); trivial. % 33.06/33.31 apply (zenon_L52_); trivial. % 33.06/33.31 apply (zenon_L33_); trivial. % 33.06/33.31 apply (zenon_L263_); trivial. % 33.06/33.31 apply (zenon_L182_); trivial. % 33.06/33.31 apply (zenon_L80_); trivial. % 33.06/33.31 apply (zenon_L264_); trivial. % 33.06/33.31 apply (zenon_L91_); trivial. % 33.06/33.31 apply (zenon_L154_); trivial. % 33.06/33.31 apply (zenon_L93_); trivial. % 33.06/33.31 (* end of lemma zenon_L269_ *) % 33.06/33.31 assert (zenon_L270_ : (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e11) (e11)) = (e12)) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H406 zenon_H334 zenon_Hed zenon_H2ed zenon_H1a9 zenon_H1a zenon_H1b. % 33.06/33.31 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))). % 33.06/33.31 intro zenon_D_pnotp. % 33.06/33.31 apply zenon_H406. % 33.06/33.31 rewrite <- zenon_D_pnotp. % 33.06/33.31 exact zenon_H334. % 33.06/33.31 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H407]. % 33.06/33.31 cut (((h1 (e12)) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H408]. % 33.06/33.31 congruence. % 33.06/33.31 elim (classic ((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [ zenon_intro zenon_H409 | zenon_intro zenon_H40a ]. % 33.06/33.31 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11)))) = ((h1 (e12)) = (h1 (op1 (e11) (e11))))). % 33.06/33.31 intro zenon_D_pnotp. % 33.06/33.31 apply zenon_H408. % 33.06/33.31 rewrite <- zenon_D_pnotp. % 33.06/33.31 exact zenon_H409. % 33.06/33.31 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 33.06/33.31 cut (((h1 (op1 (e11) (e11))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40b]. % 33.06/33.31 congruence. % 33.06/33.31 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40c]. % 33.06/33.31 congruence. % 33.06/33.31 exact (zenon_H40c zenon_Hed). % 33.06/33.31 apply zenon_H40a. apply refl_equal. % 33.06/33.31 apply zenon_H40a. apply refl_equal. % 33.06/33.31 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ]. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e11))))). % 33.06/33.31 intro zenon_D_pnotp. % 33.06/33.31 apply zenon_H407. % 33.06/33.31 rewrite <- zenon_D_pnotp. % 33.06/33.31 exact zenon_H40d. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 33.06/33.31 congruence. % 33.06/33.31 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (h1 (e11)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (e20)))). % 33.06/33.31 intro zenon_D_pnotp. % 33.06/33.31 apply zenon_H40f. % 33.06/33.31 rewrite <- zenon_D_pnotp. % 33.06/33.31 exact zenon_H2ed. % 33.06/33.31 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 33.06/33.31 cut (((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 33.06/33.31 congruence. % 33.06/33.31 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ]. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))). % 33.06/33.31 intro zenon_D_pnotp. % 33.06/33.31 apply zenon_H410. % 33.06/33.31 rewrite <- zenon_D_pnotp. % 33.06/33.31 exact zenon_H40d. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 33.06/33.31 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H411]. % 33.06/33.31 congruence. % 33.06/33.31 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.06/33.31 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.06/33.31 congruence. % 33.06/33.31 apply (zenon_L3_); trivial. % 33.06/33.31 apply (zenon_L3_); trivial. % 33.06/33.31 apply zenon_H40e. apply refl_equal. % 33.06/33.31 apply zenon_H40e. apply refl_equal. % 33.06/33.31 exact (zenon_H341 zenon_H1a9). % 33.06/33.31 apply zenon_H40e. apply refl_equal. % 33.06/33.31 apply zenon_H40e. apply refl_equal. % 33.06/33.31 (* end of lemma zenon_L270_ *) % 33.06/33.31 assert (zenon_L271_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H32b zenon_Haf zenon_H1b zenon_H1a zenon_H1a9 zenon_H2ed zenon_H334 zenon_H406 zenon_H316 zenon_H3a zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_H322 zenon_Hd3 zenon_Ha2 zenon_H326. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.06/33.31 apply (zenon_L30_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.06/33.31 apply (zenon_L270_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.06/33.31 apply (zenon_L157_); trivial. % 33.06/33.31 apply (zenon_L163_); trivial. % 33.06/33.31 (* end of lemma zenon_L271_ *) % 33.06/33.31 assert (zenon_L272_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H75 zenon_H76 zenon_H346 zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H78 zenon_H31f zenon_H31a zenon_Hf2 zenon_H62 zenon_H46 zenon_H3f zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_Hb4 zenon_H330 zenon_H45 zenon_H32b zenon_Haf zenon_H1b zenon_H1a zenon_H1a9 zenon_H2ed zenon_H334 zenon_H406 zenon_H3a zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_Ha2 zenon_H326 zenon_H32a zenon_H77 zenon_H329 zenon_H322. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.06/33.31 exact (zenon_H76 zenon_H7b). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.06/33.31 exact (zenon_H77 zenon_H7d). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.06/33.31 exact (zenon_H78 zenon_H40). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.31 apply (zenon_L31_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.31 apply (zenon_L165_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.06/33.31 exact (zenon_H77 zenon_H7d). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.06/33.31 exact (zenon_H32a zenon_Hfb). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.06/33.31 apply (zenon_L271_); trivial. % 33.06/33.31 exact (zenon_H45 zenon_H4a). % 33.06/33.31 apply (zenon_L168_); trivial. % 33.06/33.31 (* end of lemma zenon_L272_ *) % 33.06/33.31 assert (zenon_L273_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H102 zenon_Hfb zenon_Hf9 zenon_H31 zenon_H34 zenon_H33 zenon_Hb2 zenon_H13 zenon_Hfe. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 33.06/33.31 apply (zenon_L58_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H35 | zenon_intro zenon_H104 ]. % 33.06/33.31 apply (zenon_L7_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hfd ]. % 33.06/33.31 exact (zenon_Hb2 zenon_Hb0). % 33.06/33.31 apply (zenon_L59_); trivial. % 33.06/33.31 (* end of lemma zenon_L273_ *) % 33.06/33.31 assert (zenon_L274_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 33.06/33.31 do 0 intro. intros zenon_H329 zenon_Hdc zenon_H9e zenon_H10b zenon_Hc6 zenon_Hd2 zenon_H116 zenon_Hfe zenon_Hb2 zenon_H33 zenon_H34 zenon_Hf9 zenon_H102 zenon_H326 zenon_Ha2 zenon_H322 zenon_H89 zenon_H31 zenon_H13 zenon_H10a zenon_H3a zenon_H316 zenon_H406 zenon_H334 zenon_H2ed zenon_H1a9 zenon_H1a zenon_H1b zenon_Haf zenon_H32b zenon_Hd8 zenon_H41. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.06/33.31 apply (zenon_L67_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.06/33.31 apply (zenon_L273_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.06/33.31 apply (zenon_L271_); trivial. % 33.06/33.31 apply (zenon_L40_); trivial. % 33.06/33.31 (* end of lemma zenon_L274_ *) % 33.06/33.31 assert (zenon_L275_ : ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H12b zenon_H67 zenon_Hdf zenon_Hf6 zenon_H57 zenon_H13 zenon_H31 zenon_He3 zenon_H94 zenon_H111. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.31 apply (zenon_L65_); trivial. % 33.06/33.31 apply (zenon_L51_); trivial. % 33.06/33.31 (* end of lemma zenon_L275_ *) % 33.06/33.31 assert (zenon_L276_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e12))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H346 zenon_H4f zenon_Hf2 zenon_H31f zenon_H3f zenon_H31a zenon_Hd8 zenon_H51 zenon_H12f zenon_H43 zenon_H33 zenon_H69 zenon_H89 zenon_Hb4 zenon_H330 zenon_H133 zenon_He0 zenon_H12c zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H76 zenon_H34c zenon_H34d zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H34 zenon_H8e zenon_Ha3 zenon_H4c zenon_H94 zenon_H353 zenon_H134 zenon_H326 zenon_H1a1 zenon_H3a zenon_H406 zenon_H334 zenon_H2ed zenon_H1a9 zenon_H1a zenon_H1b zenon_Haf zenon_H32b zenon_H6e zenon_H322. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.06/33.31 apply (zenon_L31_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.06/33.31 apply (zenon_L183_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.06/33.31 apply (zenon_L30_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.06/33.31 apply (zenon_L270_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.06/33.31 apply (zenon_L157_); trivial. % 33.06/33.31 apply (zenon_L182_); trivial. % 33.06/33.31 apply (zenon_L168_); trivial. % 33.06/33.31 (* end of lemma zenon_L276_ *) % 33.06/33.31 assert (zenon_L277_ : (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> False). % 33.06/33.31 do 0 intro. intros zenon_Hb4 zenon_H13 zenon_H330 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H133 zenon_H12c zenon_H57 zenon_H5e zenon_H12e zenon_H76 zenon_H34c zenon_H34d zenon_H349 zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_H353 zenon_H134 zenon_H326 zenon_H1a1 zenon_Ha3 zenon_H51 zenon_H4c zenon_H94 zenon_Hd8 zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_He0 zenon_H6e zenon_H43 zenon_Hf2 zenon_H4f zenon_H69 zenon_H89 zenon_H31 zenon_Haf zenon_H2ed zenon_H1a9 zenon_H1a zenon_H1b zenon_H334 zenon_H406 zenon_H322 zenon_H346. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.06/33.31 apply (zenon_L276_); trivial. % 33.06/33.31 apply (zenon_L14_); trivial. % 33.06/33.31 (* end of lemma zenon_L277_ *) % 33.06/33.31 assert (zenon_L278_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H136 zenon_H81 zenon_H15 zenon_Hd5 zenon_Hdd zenon_Hda zenon_H62 zenon_H75 zenon_Hce zenon_Hbf zenon_H11f zenon_H123 zenon_H5d zenon_H126 zenon_H128 zenon_Hdf zenon_H10a zenon_H116 zenon_Hdc zenon_Hc6 zenon_Hd2 zenon_H102 zenon_Hfe zenon_H329 zenon_Hf6 zenon_He3 zenon_H9d zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_Hb4 zenon_H330 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H76 zenon_H34c zenon_H349 zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_H353 zenon_H326 zenon_Ha3 zenon_H4c zenon_H94 zenon_Hd8 zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_He0 zenon_H43 zenon_Hf2 zenon_H4f zenon_H69 zenon_H89 zenon_Haf zenon_H2ed zenon_H1a9 zenon_H1a zenon_H1b zenon_H334 zenon_H406 zenon_H322 zenon_H346 zenon_H13. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.31 apply (zenon_L272_); trivial. % 33.06/33.31 apply (zenon_L20_); trivial. % 33.06/33.31 apply (zenon_L21_); trivial. % 33.06/33.31 apply (zenon_L28_); trivial. % 33.06/33.31 apply (zenon_L29_); trivial. % 33.06/33.31 apply (zenon_L30_); trivial. % 33.06/33.31 apply (zenon_L7_); trivial. % 33.06/33.31 apply (zenon_L31_); trivial. % 33.06/33.31 apply (zenon_L2_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.06/33.31 apply (zenon_L54_); trivial. % 33.06/33.31 apply (zenon_L270_); trivial. % 33.06/33.31 apply (zenon_L60_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.06/33.31 apply (zenon_L171_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.31 apply (zenon_L64_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.31 apply (zenon_L65_); trivial. % 33.06/33.31 apply (zenon_L274_); trivial. % 33.06/33.31 apply (zenon_L22_); trivial. % 33.06/33.31 apply (zenon_L78_); trivial. % 33.06/33.31 apply (zenon_L275_); trivial. % 33.06/33.31 apply (zenon_L172_); trivial. % 33.06/33.31 apply (zenon_L173_); trivial. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.06/33.31 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.06/33.31 apply (zenon_L79_); trivial. % 33.06/33.31 apply (zenon_L277_); trivial. % 33.06/33.31 apply (zenon_L52_); trivial. % 33.06/33.31 apply (zenon_L80_); trivial. % 33.06/33.31 (* end of lemma zenon_L278_ *) % 33.06/33.31 assert (zenon_L279_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H13 zenon_H346 zenon_H322 zenon_H406 zenon_H334 zenon_H1a zenon_Haf zenon_H89 zenon_H69 zenon_H4f zenon_Hf2 zenon_H43 zenon_He0 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_Hd8 zenon_H94 zenon_H4c zenon_Ha3 zenon_H326 zenon_H353 zenon_H8e zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H349 zenon_H34c zenon_H76 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H330 zenon_Hb4 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H9d zenon_He3 zenon_Hf6 zenon_H329 zenon_Hfe zenon_H102 zenon_Hd2 zenon_Hc6 zenon_Hdc zenon_H116 zenon_H10a zenon_Hdf zenon_H128 zenon_H126 zenon_H5d zenon_H123 zenon_H11f zenon_Hbf zenon_Hce zenon_H75 zenon_H62 zenon_Hda zenon_Hdd zenon_Hd5 zenon_H15 zenon_H81 zenon_H136 zenon_H24d zenon_H36a zenon_H1fb zenon_H36d zenon_H2e9 zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H262 zenon_H1b zenon_H230 zenon_H313 zenon_H261 zenon_H1ca zenon_H282 zenon_H36c zenon_H367 zenon_H1ed zenon_H2c2 zenon_H253 zenon_H254 zenon_H1f4 zenon_H2d5 zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.31 apply (zenon_L191_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.31 apply (zenon_L278_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.31 apply (zenon_L199_); trivial. % 33.06/33.31 apply (zenon_L129_); trivial. % 33.06/33.31 (* end of lemma zenon_L279_ *) % 33.06/33.31 assert (zenon_L280_ : ((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H294 zenon_H20 zenon_H363 zenon_H37f zenon_H1bf zenon_H2aa zenon_H230 zenon_H1b zenon_H1a9 zenon_H382 zenon_H136 zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_Hf6 zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H15 zenon_H75 zenon_Hb4 zenon_H13 zenon_H330 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Hf2 zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H329 zenon_H89 zenon_H31 zenon_Haf zenon_H406 zenon_H334 zenon_H1a zenon_H346 zenon_H76 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_H29a. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H380 | zenon_intro zenon_H2d4 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H381 | zenon_intro zenon_H2ed ]. % 33.06/33.31 apply (zenon_L210_); trivial. % 33.06/33.31 apply (zenon_L278_); trivial. % 33.06/33.31 apply (zenon_L191_); trivial. % 33.06/33.31 (* end of lemma zenon_L280_ *) % 33.06/33.31 assert (zenon_L281_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e21)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> False). % 33.06/33.31 do 0 intro. intros zenon_H2ee zenon_H38b zenon_H388 zenon_H1d0 zenon_H238 zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H2d1 zenon_H75 zenon_Hb4 zenon_H13 zenon_H330 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Hf2 zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H329 zenon_H89 zenon_H31 zenon_Haf zenon_H406 zenon_H334 zenon_H1a zenon_H346 zenon_H76 zenon_H370 zenon_H15 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H116 zenon_Hf6 zenon_H34c zenon_H349 zenon_H353 zenon_H12e zenon_H136 zenon_H2e5 zenon_H2b5 zenon_H2b1 zenon_H2aa zenon_H1c2 zenon_H2b7 zenon_H2e3 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H2e9 zenon_H24d zenon_H1fb zenon_H261 zenon_H230 zenon_H253 zenon_H2db zenon_H2e4 zenon_H2e2 zenon_H29e zenon_H1a9 zenon_H1bf zenon_H262 zenon_H2a2 zenon_H2e1. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.06/33.31 apply (zenon_L151_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H2af | zenon_intro zenon_H386 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.31 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.31 apply (zenon_L272_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.31 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.31 exact (zenon_H2af zenon_H2a9). % 33.06/33.31 apply (zenon_L20_); trivial. % 33.06/33.31 apply (zenon_L21_); trivial. % 33.06/33.31 apply (zenon_L28_); trivial. % 33.06/33.31 apply (zenon_L29_); trivial. % 33.06/33.31 apply (zenon_L30_); trivial. % 33.06/33.31 apply (zenon_L7_); trivial. % 33.06/33.31 apply (zenon_L31_); trivial. % 33.06/33.31 apply (zenon_L2_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.06/33.31 apply (zenon_L54_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.31 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.31 apply (zenon_L270_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.31 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.31 exact (zenon_H2af zenon_H2a9). % 33.06/33.31 apply (zenon_L60_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.06/33.31 apply (zenon_L171_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.06/33.31 apply (zenon_L64_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.06/33.31 apply (zenon_L65_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.06/33.31 exact (zenon_H2d1 zenon_H2d4). % 33.06/33.31 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.06/33.31 apply (zenon_L274_); trivial. % 33.06/33.31 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.06/33.31 exact (zenon_H2a3 zenon_H2a7). % 33.06/33.31 exact (zenon_H2af zenon_H2a9). % 33.06/33.31 apply (zenon_L22_); trivial. % 33.06/33.31 apply (zenon_L78_); trivial. % 33.06/33.31 apply (zenon_L275_); trivial. % 33.06/33.31 apply (zenon_L172_); trivial. % 33.06/33.31 apply (zenon_L173_); trivial. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.06/33.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.32 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.32 apply (zenon_L79_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.32 exact (zenon_H2d1 zenon_H2d4). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.32 apply (zenon_L276_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.32 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.32 exact (zenon_H2af zenon_H2a9). % 33.17/33.32 apply (zenon_L14_); trivial. % 33.17/33.32 apply (zenon_L52_); trivial. % 33.17/33.32 apply (zenon_L80_); trivial. % 33.17/33.32 apply (zenon_L214_); trivial. % 33.17/33.32 apply (zenon_L103_); trivial. % 33.17/33.32 (* end of lemma zenon_L281_ *) % 33.17/33.32 assert (zenon_L282_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H1fc zenon_H363 zenon_H2d4 zenon_H1fb zenon_H1ac zenon_H1a9 zenon_H1b zenon_H1bb zenon_H1d7. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.32 apply (zenon_L191_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.32 apply (zenon_L87_); trivial. % 33.17/33.32 apply (zenon_L94_); trivial. % 33.17/33.32 (* end of lemma zenon_L282_ *) % 33.17/33.32 assert (zenon_L283_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e10) = (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e13))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> ((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (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)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H322 zenon_H6e zenon_H32b zenon_Haf zenon_H1a zenon_H334 zenon_H406 zenon_H3a zenon_H1a1 zenon_H326 zenon_H134 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_H34 zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34d zenon_H34c zenon_H76 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13 zenon_H12c zenon_He0 zenon_H133 zenon_H330 zenon_Hb4 zenon_H89 zenon_H69 zenon_H33 zenon_H43 zenon_H12f zenon_H51 zenon_Hd8 zenon_H31a zenon_H3f zenon_H31f zenon_Hf2 zenon_H4f zenon_H346 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H27e zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.32 apply (zenon_L191_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.32 apply (zenon_L276_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.32 apply (zenon_L218_); trivial. % 33.17/33.32 apply (zenon_L129_); trivial. % 33.17/33.32 (* end of lemma zenon_L283_ *) % 33.17/33.32 assert (zenon_L284_ : ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H307 zenon_H1d0 zenon_H30f zenon_H136 zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_Hf6 zenon_H116 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H15 zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H2bf zenon_H278 zenon_H27a zenon_H1f9 zenon_H27e zenon_H1fc zenon_H1d7 zenon_H1b zenon_H1ac zenon_H1fb zenon_H363 zenon_H75 zenon_Hb4 zenon_H13 zenon_H330 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Hf2 zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H329 zenon_H89 zenon_H31 zenon_Haf zenon_H406 zenon_H334 zenon_H1a zenon_H346 zenon_H76 zenon_H2e9 zenon_H252 zenon_H36a zenon_H274 zenon_H2aa zenon_H370 zenon_H2e4 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H2f1 zenon_H1b2 zenon_H30d. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.17/33.32 apply (zenon_L153_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.32 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.32 apply (zenon_L282_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.32 apply (zenon_L272_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.32 apply (zenon_L217_); trivial. % 33.17/33.32 apply (zenon_L129_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.32 apply (zenon_L223_); trivial. % 33.17/33.32 apply (zenon_L225_); trivial. % 33.17/33.32 apply (zenon_L20_); trivial. % 33.17/33.32 apply (zenon_L21_); trivial. % 33.17/33.32 apply (zenon_L28_); trivial. % 33.17/33.32 apply (zenon_L29_); trivial. % 33.17/33.32 apply (zenon_L30_); trivial. % 33.17/33.32 apply (zenon_L7_); trivial. % 33.17/33.32 apply (zenon_L31_); trivial. % 33.17/33.32 apply (zenon_L2_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.32 apply (zenon_L54_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.32 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.32 apply (zenon_L282_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.32 apply (zenon_L270_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.32 apply (zenon_L217_); trivial. % 33.17/33.32 apply (zenon_L129_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.32 apply (zenon_L223_); trivial. % 33.17/33.32 apply (zenon_L225_); trivial. % 33.17/33.32 apply (zenon_L60_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.32 apply (zenon_L171_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.32 apply (zenon_L64_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.32 apply (zenon_L65_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.32 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.32 apply (zenon_L282_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.32 apply (zenon_L274_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.32 apply (zenon_L217_); trivial. % 33.17/33.32 apply (zenon_L129_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.32 apply (zenon_L223_); trivial. % 33.17/33.32 apply (zenon_L225_); trivial. % 33.17/33.32 apply (zenon_L22_); trivial. % 33.17/33.32 apply (zenon_L78_); trivial. % 33.17/33.32 apply (zenon_L275_); trivial. % 33.17/33.32 apply (zenon_L172_); trivial. % 33.17/33.32 apply (zenon_L173_); trivial. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.32 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.32 apply (zenon_L79_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.32 apply (zenon_L283_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.32 apply (zenon_L87_); trivial. % 33.17/33.32 apply (zenon_L94_); trivial. % 33.17/33.32 apply (zenon_L14_); trivial. % 33.17/33.32 apply (zenon_L52_); trivial. % 33.17/33.32 apply (zenon_L80_); trivial. % 33.17/33.32 apply (zenon_L91_); trivial. % 33.17/33.32 apply (zenon_L154_); trivial. % 33.17/33.32 apply (zenon_L93_); trivial. % 33.17/33.32 (* end of lemma zenon_L284_ *) % 33.17/33.32 assert (zenon_L285_ : (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((op1 (e11) (e12)) = (e11)) -> ((op2 (e21) (e22)) = (e21)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H412 zenon_H3c zenon_H220 zenon_H1a zenon_H1b zenon_H334 zenon_H1a9. % 33.17/33.32 cut (((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_H412. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H1a. % 33.17/33.32 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H413]. % 33.17/33.32 cut (((h1 (e11)) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H414]. % 33.17/33.32 congruence. % 33.17/33.32 elim (classic ((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [ zenon_intro zenon_H415 | zenon_intro zenon_H416 ]. % 33.17/33.32 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12)))) = ((h1 (e11)) = (h1 (op1 (e11) (e12))))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_H414. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H415. % 33.17/33.32 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H416]. % 33.17/33.32 cut (((h1 (op1 (e11) (e12))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H417]. % 33.17/33.32 congruence. % 33.17/33.32 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 33.17/33.32 congruence. % 33.17/33.32 exact (zenon_He9 zenon_H3c). % 33.17/33.32 apply zenon_H416. apply refl_equal. % 33.17/33.32 apply zenon_H416. apply refl_equal. % 33.17/33.32 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H418 | zenon_intro zenon_H419 ]. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e12))))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_H413. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H418. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H419]. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 33.17/33.32 congruence. % 33.17/33.32 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (h1 (e11)) (h1 (e12))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_H41a. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H220. % 33.17/33.32 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 33.17/33.32 cut (((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 33.17/33.32 congruence. % 33.17/33.32 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H418 | zenon_intro zenon_H419 ]. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_H41b. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H418. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H419]. % 33.17/33.32 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 33.17/33.32 congruence. % 33.17/33.32 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.32 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.17/33.32 congruence. % 33.17/33.32 apply (zenon_L3_); trivial. % 33.17/33.32 apply (zenon_L166_); trivial. % 33.17/33.32 apply zenon_H419. apply refl_equal. % 33.17/33.32 apply zenon_H419. apply refl_equal. % 33.17/33.32 exact (zenon_H2b zenon_H1b). % 33.17/33.32 apply zenon_H419. apply refl_equal. % 33.17/33.32 apply zenon_H419. apply refl_equal. % 33.17/33.32 (* end of lemma zenon_L285_ *) % 33.17/33.32 assert (zenon_L286_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H1a9 zenon_H334 zenon_H1b zenon_H1a zenon_H220 zenon_H412 zenon_H62 zenon_H46 zenon_H3f zenon_H45 zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.32 apply (zenon_L7_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.32 exact (zenon_H6a zenon_H6d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 apply (zenon_L16_); trivial. % 33.17/33.32 (* end of lemma zenon_L286_ *) % 33.17/33.32 assert (zenon_L287_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e13)) = (e11))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H69 zenon_H39 zenon_H6a zenon_H1a9 zenon_H334 zenon_H1b zenon_H1a zenon_H220 zenon_H412 zenon_H41d. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.32 exact (zenon_H39 zenon_H35). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.32 exact (zenon_H6a zenon_H6d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 exact (zenon_H41d zenon_H50). % 33.17/33.32 (* end of lemma zenon_L287_ *) % 33.17/33.32 assert (zenon_L288_ : (~((e12) = (e12))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H324. % 33.17/33.32 apply zenon_H324. apply refl_equal. % 33.17/33.32 (* end of lemma zenon_L288_ *) % 33.17/33.32 assert (zenon_L289_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e13)) -> (~((e12) = (e13))) -> False). % 33.17/33.32 do 0 intro. intros zenon_Hed zenon_H350 zenon_Hb4. % 33.17/33.32 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H16 | zenon_intro zenon_H12 ]. % 33.17/33.32 cut (((e13) = (e13)) = ((e12) = (e13))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_Hb4. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_H16. % 33.17/33.32 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.17/33.32 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb5]. % 33.17/33.32 congruence. % 33.17/33.32 cut (((op1 (e11) (e11)) = (e12)) = ((e13) = (e12))). % 33.17/33.32 intro zenon_D_pnotp. % 33.17/33.32 apply zenon_Hb5. % 33.17/33.32 rewrite <- zenon_D_pnotp. % 33.17/33.32 exact zenon_Hed. % 33.17/33.32 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 33.17/33.32 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H34d]. % 33.17/33.32 congruence. % 33.17/33.32 exact (zenon_H34d zenon_H350). % 33.17/33.32 apply zenon_H324. apply refl_equal. % 33.17/33.32 apply zenon_H12. apply refl_equal. % 33.17/33.32 apply zenon_H12. apply refl_equal. % 33.17/33.32 (* end of lemma zenon_L289_ *) % 33.17/33.32 assert (zenon_L290_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False). % 33.17/33.32 do 0 intro. intros zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_H10b zenon_Ha2 zenon_H326 zenon_H327. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Haa | zenon_intro zenon_H10d ]. % 33.17/33.32 apply (zenon_L29_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 33.17/33.32 exact (zenon_H10b zenon_H10f). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H110 ]. % 33.17/33.32 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.32 apply (zenon_L162_); trivial. % 33.17/33.32 (* end of lemma zenon_L290_ *) % 33.17/33.32 assert (zenon_L291_ : ((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e12))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H17e zenon_H316 zenon_H3a zenon_H32b zenon_H89 zenon_Ha2 zenon_H326 zenon_H10a zenon_H40c zenon_H13 zenon_H31 zenon_Haf zenon_H8e zenon_H34 zenon_H184. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.32 apply (zenon_L30_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.32 exact (zenon_H40c zenon_Hed). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.32 exact (zenon_H41e zenon_H317). % 33.17/33.32 apply (zenon_L290_); trivial. % 33.17/33.32 apply (zenon_L22_); trivial. % 33.17/33.32 apply (zenon_L157_); trivial. % 33.17/33.32 (* end of lemma zenon_L291_ *) % 33.17/33.32 assert (zenon_L292_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> False). % 33.17/33.32 do 0 intro. intros zenon_H69 zenon_H31 zenon_H34 zenon_H33 zenon_H6a zenon_H1a9 zenon_H334 zenon_H1b zenon_H1a zenon_H220 zenon_H412 zenon_H4f zenon_H51. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.32 apply (zenon_L7_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.32 exact (zenon_H6a zenon_H6d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 apply (zenon_L12_); trivial. % 33.17/33.32 (* end of lemma zenon_L292_ *) % 33.17/33.32 assert (zenon_L293_ : (((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e20) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e20) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e20)) = (e20)))\/((op2 (e21) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e21) (e22)) = (e20)))\/((op2 (e21) (e20)) = (e22)))/\(((~((op2 (e21) (e23)) = (e20)))\/((op2 (e21) (e20)) = (e23)))/\(((~((op2 (e22) (e20)) = (e20)))\/((op2 (e22) (e20)) = (e20)))/\(((~((op2 (e22) (e21)) = (e20)))\/((op2 (e22) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\(((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23)))/\(((~((op2 (e23) (e20)) = (e20)))\/((op2 (e23) (e20)) = (e20)))/\(((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21)))/\(((~((op2 (e23) (e22)) = (e20)))\/((op2 (e23) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H1fa zenon_H1e5 zenon_H89 zenon_H228 zenon_H1b9 zenon_H1c2 zenon_H1bf zenon_H1ca zenon_H1c8 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H412 zenon_H334 zenon_H1a zenon_H62 zenon_H4c zenon_H4f zenon_H57 zenon_H13 zenon_H5e zenon_H5d zenon_H3f zenon_H43 zenon_H69 zenon_H1fb zenon_H1a9 zenon_H1b zenon_H278 zenon_H81 zenon_H8e zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_Haf zenon_Hb4 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H75 zenon_H102 zenon_Hfe zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_Hf6 zenon_H31a zenon_H346 zenon_H10a zenon_H326 zenon_H32b zenon_H3a zenon_H12e zenon_H136. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 apply (zenon_L119_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L286_); trivial. % 33.17/33.32 apply (zenon_L92_); trivial. % 33.17/33.32 apply (zenon_L20_); trivial. % 33.17/33.32 apply (zenon_L21_); trivial. % 33.17/33.32 apply (zenon_L28_); trivial. % 33.17/33.32 apply (zenon_L29_); trivial. % 33.17/33.32 apply (zenon_L30_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.32 apply (zenon_L54_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 apply (zenon_L119_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L287_); trivial. % 33.17/33.32 apply (zenon_L92_); trivial. % 33.17/33.32 apply (zenon_L289_); trivial. % 33.17/33.32 apply (zenon_L60_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.32 apply (zenon_L171_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.32 apply (zenon_L291_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 apply (zenon_L119_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 apply (zenon_L92_); trivial. % 33.17/33.32 apply (zenon_L172_); trivial. % 33.17/33.32 apply (zenon_L173_); trivial. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.32 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.32 apply (zenon_L79_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 apply (zenon_L119_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L292_); trivial. % 33.17/33.32 apply (zenon_L92_); trivial. % 33.17/33.32 apply (zenon_L52_); trivial. % 33.17/33.32 apply (zenon_L97_); trivial. % 33.17/33.32 (* end of lemma zenon_L293_ *) % 33.17/33.32 assert (zenon_L294_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H28e zenon_H274 zenon_H278 zenon_H27a zenon_H1f4 zenon_H27e zenon_H136 zenon_H12e zenon_H3a zenon_H32b zenon_H326 zenon_H10a zenon_H346 zenon_H31a zenon_Hf6 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_Hfe zenon_H102 zenon_H75 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_Hb4 zenon_Haf zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H8e zenon_H81 zenon_H1fb zenon_H69 zenon_H43 zenon_H3f zenon_H5d zenon_H5e zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H62 zenon_H1a zenon_H1b zenon_H334 zenon_H1a9 zenon_H412 zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H228 zenon_H89 zenon_H1e5 zenon_H1bf zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H238 zenon_H1d0 zenon_H230 zenon_H1ac. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H227 | zenon_intro zenon_H276 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H226 | zenon_intro zenon_H24e ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 exact (zenon_H227 zenon_H22d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L286_); trivial. % 33.17/33.32 exact (zenon_H226 zenon_H1ba). % 33.17/33.32 apply (zenon_L20_); trivial. % 33.17/33.32 apply (zenon_L21_); trivial. % 33.17/33.32 apply (zenon_L28_); trivial. % 33.17/33.32 apply (zenon_L29_); trivial. % 33.17/33.32 apply (zenon_L30_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.32 apply (zenon_L54_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 exact (zenon_H227 zenon_H22d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L287_); trivial. % 33.17/33.32 exact (zenon_H226 zenon_H1ba). % 33.17/33.32 apply (zenon_L289_); trivial. % 33.17/33.32 apply (zenon_L60_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.32 apply (zenon_L171_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.32 apply (zenon_L291_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 exact (zenon_H227 zenon_H22d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 exact (zenon_H226 zenon_H1ba). % 33.17/33.32 apply (zenon_L172_); trivial. % 33.17/33.32 apply (zenon_L173_); trivial. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.32 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.32 apply (zenon_L79_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.32 exact (zenon_H227 zenon_H22d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.32 exact (zenon_H1fb zenon_H21d). % 33.17/33.32 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.32 apply (zenon_L292_); trivial. % 33.17/33.32 exact (zenon_H226 zenon_H1ba). % 33.17/33.32 apply (zenon_L52_); trivial. % 33.17/33.32 apply (zenon_L117_); trivial. % 33.17/33.32 apply (zenon_L121_); trivial. % 33.17/33.32 (* end of lemma zenon_L294_ *) % 33.17/33.32 assert (zenon_L295_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.32 do 0 intro. intros zenon_H136 zenon_H81 zenon_Hb4 zenon_H76 zenon_Hd2 zenon_H43 zenon_Hd8 zenon_Ha4 zenon_Hd5 zenon_Ha3 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H75 zenon_H102 zenon_Hfe zenon_Hf9 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H11f zenon_H3f zenon_H123 zenon_H5d zenon_H126 zenon_H4c zenon_H128 zenon_H9d zenon_Hf6 zenon_He3 zenon_H94 zenon_H31a zenon_H346 zenon_H8e zenon_Haf zenon_H10a zenon_H326 zenon_Ha2 zenon_H89 zenon_H32b zenon_H3a zenon_H33 zenon_H34 zenon_H6a zenon_H412 zenon_H1a9 zenon_H334 zenon_H1b zenon_H1a zenon_H220 zenon_H4f zenon_H69 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_He0 zenon_H13. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.32 apply (zenon_L286_); trivial. % 33.17/33.32 apply (zenon_L20_); trivial. % 33.17/33.32 apply (zenon_L21_); trivial. % 33.17/33.32 apply (zenon_L28_); trivial. % 33.17/33.32 apply (zenon_L29_); trivial. % 33.17/33.32 apply (zenon_L30_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.32 apply (zenon_L54_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.32 apply (zenon_L287_); trivial. % 33.17/33.32 apply (zenon_L289_); trivial. % 33.17/33.32 apply (zenon_L60_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.32 apply (zenon_L171_); trivial. % 33.17/33.32 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.32 apply (zenon_L291_); trivial. % 33.17/33.32 apply (zenon_L285_); trivial. % 33.17/33.32 apply (zenon_L172_); trivial. % 33.17/33.32 apply (zenon_L173_); trivial. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.32 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.33 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.33 apply (zenon_L79_); trivial. % 33.17/33.33 apply (zenon_L292_); trivial. % 33.17/33.33 apply (zenon_L52_); trivial. % 33.17/33.33 (* end of lemma zenon_L295_ *) % 33.17/33.33 assert (zenon_L296_ : (((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e12) = (e13))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H157 zenon_Hf9 zenon_H33 zenon_Haf zenon_Hfe zenon_H102 zenon_H75 zenon_H6a zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_H69 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_Hb4 zenon_H278 zenon_H1b zenon_H1a9 zenon_H1fb zenon_H1a zenon_H334 zenon_H412 zenon_H1b9 zenon_H1bb zenon_H228. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.33 apply (zenon_L54_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.33 apply (zenon_L119_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.33 exact (zenon_H1fb zenon_H21d). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.33 apply (zenon_L287_); trivial. % 33.17/33.33 apply (zenon_L89_); trivial. % 33.17/33.33 apply (zenon_L289_); trivial. % 33.17/33.33 apply (zenon_L60_); trivial. % 33.17/33.33 (* end of lemma zenon_L296_ *) % 33.17/33.33 assert (zenon_L297_ : (((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H16f zenon_H278 zenon_H1b zenon_H1a9 zenon_H1fb zenon_H69 zenon_H4f zenon_H1a zenon_H334 zenon_H412 zenon_H6a zenon_H34 zenon_H33 zenon_H1b9 zenon_H1bb zenon_H228 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_He0 zenon_H13. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.33 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.33 apply (zenon_L79_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.17/33.33 apply (zenon_L119_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.17/33.33 exact (zenon_H1fb zenon_H21d). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.17/33.33 apply (zenon_L292_); trivial. % 33.17/33.33 apply (zenon_L89_); trivial. % 33.17/33.33 apply (zenon_L52_); trivial. % 33.17/33.33 (* end of lemma zenon_L297_ *) % 33.17/33.33 assert (zenon_L298_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H2bc zenon_H2bb zenon_H25d zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H1ca. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.17/33.33 apply (zenon_L105_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.17/33.33 apply (zenon_L132_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.17/33.33 apply (zenon_L112_); trivial. % 33.17/33.33 exact (zenon_H1ca zenon_H1ce). % 33.17/33.33 (* end of lemma zenon_L298_ *) % 33.17/33.33 assert (zenon_L299_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H25d zenon_H2bb zenon_H2bc zenon_H23d zenon_H266 zenon_H26a zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H1ca. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.17/33.33 apply (zenon_L97_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.17/33.33 apply (zenon_L298_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.17/33.33 apply (zenon_L115_); trivial. % 33.17/33.33 exact (zenon_H1ca zenon_H1ce). % 33.17/33.33 (* end of lemma zenon_L299_ *) % 33.17/33.33 assert (zenon_L300_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H367 zenon_H1ed zenon_H1ca zenon_H26a zenon_H266 zenon_H23d zenon_H2bb zenon_H1e5 zenon_H270 zenon_H2c3 zenon_H2c2 zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H25d. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.33 apply (zenon_L98_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.33 apply (zenon_L299_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.33 apply (zenon_L136_); trivial. % 33.17/33.33 apply (zenon_L112_); trivial. % 33.17/33.33 (* end of lemma zenon_L300_ *) % 33.17/33.33 assert (zenon_L301_ : (~((e11) = (e11))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H72. % 33.17/33.33 apply zenon_H72. apply refl_equal. % 33.17/33.33 (* end of lemma zenon_L301_ *) % 33.17/33.33 assert (zenon_L302_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e11) = (e13))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H3c zenon_H3ce zenon_H15. % 33.17/33.33 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H16 | zenon_intro zenon_H12 ]. % 33.17/33.33 cut (((e13) = (e13)) = ((e11) = (e13))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H15. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H16. % 33.17/33.33 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 33.17/33.33 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 33.17/33.33 congruence. % 33.17/33.33 cut (((op1 (e11) (e12)) = (e11)) = ((e13) = (e11))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H17. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H3c. % 33.17/33.33 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 33.17/33.33 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 33.17/33.33 congruence. % 33.17/33.33 exact (zenon_H3c9 zenon_H3ce). % 33.17/33.33 apply zenon_H72. apply refl_equal. % 33.17/33.33 apply zenon_H12. apply refl_equal. % 33.17/33.33 apply zenon_H12. apply refl_equal. % 33.17/33.33 (* end of lemma zenon_L302_ *) % 33.17/33.33 assert (zenon_L303_ : (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H41f zenon_H3cd zenon_H243 zenon_H1a zenon_H1b zenon_H399 zenon_H1bf. % 33.17/33.33 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H41f. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H399. % 33.17/33.33 cut (((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 33.17/33.33 cut (((h1 (e13)) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 33.17/33.33 congruence. % 33.17/33.33 elim (classic ((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [ zenon_intro zenon_H422 | zenon_intro zenon_H423 ]. % 33.17/33.33 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13)))) = ((h1 (e13)) = (h1 (op1 (e11) (e13))))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H421. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H422. % 33.17/33.33 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H423]. % 33.17/33.33 cut (((h1 (op1 (e11) (e13))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H424]. % 33.17/33.33 congruence. % 33.17/33.33 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 33.17/33.33 congruence. % 33.17/33.33 exact (zenon_H3ca zenon_H3cd). % 33.17/33.33 apply zenon_H423. apply refl_equal. % 33.17/33.33 apply zenon_H423. apply refl_equal. % 33.17/33.33 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H425 | zenon_intro zenon_H426 ]. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e13))))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H420. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H425. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H426]. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 33.17/33.33 congruence. % 33.17/33.33 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (e20)))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H427. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H243. % 33.17/33.33 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H428]. % 33.17/33.33 cut (((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 33.17/33.33 congruence. % 33.17/33.33 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H425 | zenon_intro zenon_H426 ]. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))). % 33.17/33.33 intro zenon_D_pnotp. % 33.17/33.33 apply zenon_H429. % 33.17/33.33 rewrite <- zenon_D_pnotp. % 33.17/33.33 exact zenon_H425. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H426]. % 33.17/33.33 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 33.17/33.33 congruence. % 33.17/33.33 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.17/33.33 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.17/33.33 congruence. % 33.17/33.33 apply (zenon_L3_); trivial. % 33.17/33.33 apply (zenon_L235_); trivial. % 33.17/33.33 apply zenon_H426. apply refl_equal. % 33.17/33.33 apply zenon_H426. apply refl_equal. % 33.17/33.33 exact (zenon_H428 zenon_H1bf). % 33.17/33.33 apply zenon_H426. apply refl_equal. % 33.17/33.33 apply zenon_H426. apply refl_equal. % 33.17/33.33 (* end of lemma zenon_L303_ *) % 33.17/33.33 assert (zenon_L304_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H3c8 zenon_Hfe zenon_H13 zenon_Hb4 zenon_Hed zenon_H15 zenon_H3c zenon_H41f zenon_H243 zenon_H1a zenon_H1b zenon_H399 zenon_H1bf. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H3c8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H3cb ]. % 33.17/33.33 apply (zenon_L59_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H3cb); [ zenon_intro zenon_H350 | zenon_intro zenon_H3cc ]. % 33.17/33.33 apply (zenon_L289_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H3cc); [ zenon_intro zenon_H3ce | zenon_intro zenon_H3cd ]. % 33.17/33.33 apply (zenon_L302_); trivial. % 33.17/33.33 apply (zenon_L303_); trivial. % 33.17/33.33 (* end of lemma zenon_L304_ *) % 33.17/33.33 assert (zenon_L305_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H329 zenon_H77 zenon_H32a zenon_H5e zenon_H31 zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H3f zenon_H46 zenon_H62 zenon_H32b zenon_Haf zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H243 zenon_H41f zenon_H15 zenon_Hb4 zenon_Hfe zenon_H3c8 zenon_H31a zenon_H3a zenon_H31f zenon_H78 zenon_H10a zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H45. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.17/33.33 exact (zenon_H77 zenon_H7d). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.17/33.33 exact (zenon_H32a zenon_Hfb). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.33 apply (zenon_L7_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.33 exact (zenon_H6a zenon_H6d). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.33 apply (zenon_L30_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.33 apply (zenon_L304_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.33 apply (zenon_L160_); trivial. % 33.17/33.33 apply (zenon_L163_); trivial. % 33.17/33.33 apply (zenon_L16_); trivial. % 33.17/33.33 exact (zenon_H45 zenon_H4a). % 33.17/33.33 (* end of lemma zenon_L305_ *) % 33.17/33.33 assert (zenon_L306_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (e11))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H69 zenon_H39 zenon_H6a zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H243 zenon_H41f zenon_H15 zenon_Hed zenon_Hb4 zenon_H13 zenon_Hfe zenon_H3c8 zenon_H41d. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.33 exact (zenon_H39 zenon_H35). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.33 exact (zenon_H6a zenon_H6d). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.33 apply (zenon_L304_); trivial. % 33.17/33.33 exact (zenon_H41d zenon_H50). % 33.17/33.33 (* end of lemma zenon_L306_ *) % 33.17/33.33 assert (zenon_L307_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (e12))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (e12))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H32b zenon_Hb2 zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H243 zenon_H41f zenon_H3c zenon_H15 zenon_Hb4 zenon_H13 zenon_Hfe zenon_H3c8 zenon_H41e zenon_H42b. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.33 exact (zenon_Hb2 zenon_Hb0). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.33 apply (zenon_L304_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.33 exact (zenon_H41e zenon_H317). % 33.17/33.33 exact (zenon_H42b zenon_H327). % 33.17/33.33 (* end of lemma zenon_L307_ *) % 33.17/33.33 assert (zenon_L308_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (e12))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (e12))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H2d5 zenon_H1f4 zenon_H24d zenon_H25d zenon_H262 zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H2c2 zenon_H270 zenon_H1e5 zenon_H2bb zenon_H23d zenon_H266 zenon_H26a zenon_H1ca zenon_H1ed zenon_H367 zenon_H32b zenon_Hb2 zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H41f zenon_H3c zenon_H15 zenon_Hb4 zenon_H13 zenon_Hfe zenon_H3c8 zenon_H41e zenon_H42b. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L116_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L307_); trivial. % 33.17/33.33 (* end of lemma zenon_L308_ *) % 33.17/33.33 assert (zenon_L309_ : (((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e20) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e20) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e20)) = (e20)))\/((op2 (e21) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e21) (e22)) = (e20)))\/((op2 (e21) (e20)) = (e22)))/\(((~((op2 (e21) (e23)) = (e20)))\/((op2 (e21) (e20)) = (e23)))/\(((~((op2 (e22) (e20)) = (e20)))\/((op2 (e22) (e20)) = (e20)))/\(((~((op2 (e22) (e21)) = (e20)))\/((op2 (e22) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\(((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23)))/\(((~((op2 (e23) (e20)) = (e20)))\/((op2 (e23) (e20)) = (e20)))/\(((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21)))/\(((~((op2 (e23) (e22)) = (e20)))\/((op2 (e23) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H1fa zenon_H278 zenon_H29e zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H311 zenon_H28b zenon_H2d5 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Haf zenon_H13 zenon_H3c8 zenon_H1a zenon_H399 zenon_H41f zenon_H15 zenon_Hb4 zenon_Hfe zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H89 zenon_H32b zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H329 zenon_H1ed zenon_H2bb zenon_H2c2 zenon_H367 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H253 zenon_H230 zenon_H1b zenon_H1a9 zenon_H262 zenon_H25d zenon_H261 zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H1bf zenon_H1f4 zenon_H2db zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H75 zenon_H102 zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H346 zenon_Hf6 zenon_H3de zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_H136 zenon_H2e9 zenon_H1ac zenon_H36a zenon_H2bf zenon_H1fb. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H36d | zenon_intro zenon_H22d ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H312 | zenon_intro zenon_H2da ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H42c | zenon_intro zenon_H37b ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.33 apply (zenon_L156_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.33 exact (zenon_H36d zenon_H276). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L116_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L305_); trivial. % 33.17/33.33 exact (zenon_H42c zenon_H2d8). % 33.17/33.33 apply (zenon_L20_); trivial. % 33.17/33.33 apply (zenon_L21_); trivial. % 33.17/33.33 apply (zenon_L28_); trivial. % 33.17/33.33 apply (zenon_L29_); trivial. % 33.17/33.33 apply (zenon_L30_); trivial. % 33.17/33.33 apply (zenon_L7_); trivial. % 33.17/33.33 apply (zenon_L31_); trivial. % 33.17/33.33 apply (zenon_L2_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.33 apply (zenon_L54_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.33 apply (zenon_L156_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.33 exact (zenon_H36d zenon_H276). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L116_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L306_); trivial. % 33.17/33.33 exact (zenon_H42c zenon_H2d8). % 33.17/33.33 apply (zenon_L289_); trivial. % 33.17/33.33 apply (zenon_L60_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.33 apply (zenon_L171_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.33 apply (zenon_L291_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.33 apply (zenon_L156_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.33 exact (zenon_H36d zenon_H276). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.33 apply (zenon_L308_); trivial. % 33.17/33.33 exact (zenon_H42c zenon_H2d8). % 33.17/33.33 apply (zenon_L302_); trivial. % 33.17/33.33 apply (zenon_L157_); trivial. % 33.17/33.33 apply (zenon_L275_); trivial. % 33.17/33.33 apply (zenon_L172_); trivial. % 33.17/33.33 apply (zenon_L173_); trivial. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.33 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.33 apply (zenon_L257_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.33 apply (zenon_L156_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.33 exact (zenon_H36d zenon_H276). % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L116_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L303_); trivial. % 33.17/33.33 exact (zenon_H42c zenon_H2d8). % 33.17/33.33 apply (zenon_L182_); trivial. % 33.17/33.33 apply (zenon_L80_); trivial. % 33.17/33.33 apply (zenon_L264_); trivial. % 33.17/33.33 apply (zenon_L206_); trivial. % 33.17/33.33 apply (zenon_L98_); trivial. % 33.17/33.33 apply (zenon_L127_); trivial. % 33.17/33.33 apply (zenon_L209_); trivial. % 33.17/33.33 apply (zenon_L119_); trivial. % 33.17/33.33 (* end of lemma zenon_L309_ *) % 33.17/33.33 assert (zenon_L310_ : (((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H157 zenon_Hf9 zenon_H33 zenon_Haf zenon_H102 zenon_H75 zenon_H6a zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_H69 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6 zenon_H1f4 zenon_H1bf zenon_H273 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac zenon_H236 zenon_H367 zenon_H2c2 zenon_H254 zenon_H2bb zenon_H1ed zenon_Hfe zenon_Hb4 zenon_H15 zenon_H41f zenon_H399 zenon_H1a zenon_H3c8 zenon_H2d5. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.33 apply (zenon_L54_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L117_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L306_); trivial. % 33.17/33.33 apply (zenon_L289_); trivial. % 33.17/33.33 apply (zenon_L60_); trivial. % 33.17/33.33 (* end of lemma zenon_L310_ *) % 33.17/33.33 assert (zenon_L311_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H28e zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H1f4 zenon_H1bf zenon_H1e5 zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H367 zenon_H2c2 zenon_H2bb zenon_H1ed zenon_H329 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H32b zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H41f zenon_H399 zenon_H1a zenon_H3c8 zenon_H13 zenon_Haf zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H2d5 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H75 zenon_H102 zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H346 zenon_Hf6 zenon_H3de zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_H136 zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.17/33.33 apply (zenon_L104_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L117_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L305_); trivial. % 33.17/33.33 apply (zenon_L20_); trivial. % 33.17/33.33 apply (zenon_L21_); trivial. % 33.17/33.33 apply (zenon_L28_); trivial. % 33.17/33.33 apply (zenon_L29_); trivial. % 33.17/33.33 apply (zenon_L30_); trivial. % 33.17/33.33 apply (zenon_L7_); trivial. % 33.17/33.33 apply (zenon_L31_); trivial. % 33.17/33.33 apply (zenon_L2_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.33 apply (zenon_L310_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.33 apply (zenon_L171_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.33 apply (zenon_L291_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.33 apply (zenon_L308_); trivial. % 33.17/33.33 apply (zenon_L302_); trivial. % 33.17/33.33 apply (zenon_L157_); trivial. % 33.17/33.33 apply (zenon_L275_); trivial. % 33.17/33.33 apply (zenon_L172_); trivial. % 33.17/33.33 apply (zenon_L173_); trivial. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.33 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.33 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.33 apply (zenon_L257_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.33 apply (zenon_L99_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.33 apply (zenon_L117_); trivial. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.33 apply (zenon_L300_); trivial. % 33.17/33.33 apply (zenon_L303_); trivial. % 33.17/33.33 apply (zenon_L182_); trivial. % 33.17/33.33 apply (zenon_L80_); trivial. % 33.17/33.33 apply (zenon_L264_); trivial. % 33.17/33.33 (* end of lemma zenon_L311_ *) % 33.17/33.33 assert (zenon_L312_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> False). % 33.17/33.33 do 0 intro. intros zenon_H2e1 zenon_H1b zenon_H230 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2c2 zenon_H2c3 zenon_H2e5. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.33 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.33 apply (zenon_L128_); trivial. % 33.17/33.33 apply (zenon_L136_); trivial. % 33.17/33.33 apply (zenon_L103_); trivial. % 33.17/33.33 (* end of lemma zenon_L312_ *) % 33.17/33.33 assert (zenon_L313_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> False). % 33.17/33.34 do 0 intro. intros zenon_Ha1 zenon_H81 zenon_H77 zenon_H32a zenon_H69 zenon_H43 zenon_H45 zenon_H44 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Haf zenon_H13 zenon_H3c8 zenon_H243 zenon_H1a zenon_H1b zenon_H399 zenon_H1bf zenon_H41f zenon_H15 zenon_Hb4 zenon_Hfe zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H64 zenon_H63 zenon_H78 zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H89 zenon_H32b zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H329. % 33.17/33.34 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.34 apply (zenon_L305_); trivial. % 33.17/33.34 apply (zenon_L20_); trivial. % 33.17/33.34 (* end of lemma zenon_L313_ *) % 33.17/33.34 assert (zenon_L314_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H2d5 zenon_H1f4 zenon_H1ca zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H262 zenon_H26a zenon_H266 zenon_H23d zenon_H24d zenon_H25d zenon_H1e5 zenon_H270 zenon_H257 zenon_H2c2 zenon_H41f zenon_H3cd zenon_H1a zenon_H1b zenon_H399 zenon_H1bf. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.34 apply (zenon_L99_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.34 apply (zenon_L116_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.34 apply (zenon_L136_); trivial. % 33.17/33.34 apply (zenon_L303_); trivial. % 33.17/33.34 (* end of lemma zenon_L314_ *) % 33.17/33.34 assert (zenon_L315_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H3f0 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H2e3 zenon_H27e zenon_H27a zenon_H278 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H274 zenon_H2d5 zenon_H329 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H32b zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H41f zenon_H399 zenon_H1a zenon_H3c8 zenon_H13 zenon_Haf zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H81 zenon_H2c2 zenon_H253 zenon_H230 zenon_H261 zenon_H24d zenon_H1f4 zenon_H2db zenon_H2e4 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H75 zenon_H102 zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H346 zenon_Hf6 zenon_H3de zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.34 apply (zenon_L128_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.17/33.34 apply (zenon_L131_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.34 apply (zenon_L99_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.34 apply (zenon_L116_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.34 apply (zenon_L312_); trivial. % 33.17/33.34 apply (zenon_L313_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L21_); trivial. % 33.17/33.34 apply (zenon_L28_); trivial. % 33.17/33.34 apply (zenon_L29_); trivial. % 33.17/33.34 apply (zenon_L30_); trivial. % 33.17/33.34 apply (zenon_L7_); trivial. % 33.17/33.34 apply (zenon_L31_); trivial. % 33.17/33.34 apply (zenon_L2_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.34 apply (zenon_L54_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.34 apply (zenon_L99_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.34 apply (zenon_L116_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.34 apply (zenon_L136_); trivial. % 33.17/33.34 apply (zenon_L306_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L289_); trivial. % 33.17/33.34 apply (zenon_L60_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.34 apply (zenon_L171_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.34 apply (zenon_L291_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.34 apply (zenon_L99_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.34 apply (zenon_L116_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.34 apply (zenon_L312_); trivial. % 33.17/33.34 apply (zenon_L307_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L302_); trivial. % 33.17/33.34 apply (zenon_L157_); trivial. % 33.17/33.34 apply (zenon_L275_); trivial. % 33.17/33.34 apply (zenon_L172_); trivial. % 33.17/33.34 apply (zenon_L173_); trivial. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.34 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.34 apply (zenon_L257_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L314_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L182_); trivial. % 33.17/33.34 apply (zenon_L80_); trivial. % 33.17/33.34 apply (zenon_L264_); trivial. % 33.17/33.34 apply (zenon_L103_); trivial. % 33.17/33.34 (* end of lemma zenon_L315_ *) % 33.17/33.34 assert (zenon_L316_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e22)) = (e23))) -> (~((op2 (e21) (e23)) = (e23))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H2d5 zenon_H1f9 zenon_H252 zenon_H2c7 zenon_H248. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.34 exact (zenon_H1f9 zenon_H1f3). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.34 exact (zenon_H252 zenon_H24e). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.34 exact (zenon_H2c7 zenon_H2c3). % 33.17/33.34 exact (zenon_H248 zenon_H243). % 33.17/33.34 (* end of lemma zenon_L316_ *) % 33.17/33.34 assert (zenon_L317_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 33.17/33.34 do 0 intro. intros zenon_H230 zenon_H2da zenon_H255. % 33.17/33.34 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H230. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H2da. % 33.17/33.34 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 33.17/33.34 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 33.17/33.34 congruence. % 33.17/33.34 apply zenon_H1ef. apply refl_equal. % 33.17/33.34 apply zenon_H256. apply sym_equal. exact zenon_H255. % 33.17/33.34 (* end of lemma zenon_L317_ *) % 33.17/33.34 assert (zenon_L318_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H261 zenon_H2da zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H25b. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H255 | zenon_intro zenon_H263 ]. % 33.17/33.34 apply (zenon_L317_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H22f | zenon_intro zenon_H264 ]. % 33.17/33.34 apply (zenon_L103_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H257 ]. % 33.17/33.34 exact (zenon_H262 zenon_H265). % 33.17/33.34 exact (zenon_H25b zenon_H257). % 33.17/33.34 (* end of lemma zenon_L318_ *) % 33.17/33.34 assert (zenon_L319_ : ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H2ef zenon_H1c2 zenon_H2e4 zenon_H2e9 zenon_H252 zenon_H373 zenon_H38f zenon_H1fb zenon_H274 zenon_H261 zenon_H25b zenon_H262 zenon_H1a9 zenon_H1b zenon_H230 zenon_H393 zenon_H1bf zenon_H1bb zenon_H391 zenon_H2b1 zenon_H2e3. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_L221_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L318_); trivial. % 33.17/33.34 apply (zenon_L225_); trivial. % 33.17/33.34 apply (zenon_L91_); trivial. % 33.17/33.34 (* end of lemma zenon_L319_ *) % 33.17/33.34 assert (zenon_L320_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 33.17/33.34 do 0 intro. intros zenon_H42d zenon_H373 zenon_H2a8. % 33.17/33.34 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H42d. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H373. % 33.17/33.34 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 33.17/33.34 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.17/33.34 congruence. % 33.17/33.34 apply zenon_H1bd. apply refl_equal. % 33.17/33.34 apply zenon_H42e. apply sym_equal. exact zenon_H2a8. % 33.17/33.34 (* end of lemma zenon_L320_ *) % 33.17/33.34 assert (zenon_L321_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H309 zenon_H42d zenon_H30f zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H230 zenon_H1b zenon_H262 zenon_H261 zenon_H274 zenon_H1fb zenon_H38f zenon_H373 zenon_H252 zenon_H2e9 zenon_H2e4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H2f1 zenon_H1b2 zenon_H30d. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H25b | zenon_intro zenon_H2a8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.17/33.34 apply (zenon_L153_); trivial. % 33.17/33.34 apply (zenon_L319_); trivial. % 33.17/33.34 apply (zenon_L154_); trivial. % 33.17/33.34 apply (zenon_L320_); trivial. % 33.17/33.34 (* end of lemma zenon_L321_ *) % 33.17/33.34 assert (zenon_L322_ : ((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e20)) = (e23))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((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 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H301 zenon_H30d zenon_H1b2 zenon_H2f1 zenon_H2ef zenon_H1a9 zenon_H1c2 zenon_H1ca zenon_H270 zenon_H2e4 zenon_H2e9 zenon_H38f zenon_H1fb zenon_H274 zenon_H261 zenon_H262 zenon_H230 zenon_H393 zenon_H391 zenon_H2b1 zenon_H2e3 zenon_H30f zenon_H42d zenon_H309 zenon_H2d5 zenon_H252 zenon_H1f9 zenon_H136 zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_Hf6 zenon_H346 zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_H102 zenon_H75 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H329 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H32b zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H41f zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H3c8 zenon_H13 zenon_Haf zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_H94 zenon_Ha4 zenon_H303. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H373 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H248 | zenon_intro zenon_H243 ]. % 33.17/33.34 apply (zenon_L316_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.34 apply (zenon_L313_); trivial. % 33.17/33.34 apply (zenon_L21_); trivial. % 33.17/33.34 apply (zenon_L28_); trivial. % 33.17/33.34 apply (zenon_L29_); trivial. % 33.17/33.34 apply (zenon_L30_); trivial. % 33.17/33.34 apply (zenon_L7_); trivial. % 33.17/33.34 apply (zenon_L31_); trivial. % 33.17/33.34 apply (zenon_L2_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.34 apply (zenon_L54_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.34 apply (zenon_L306_); trivial. % 33.17/33.34 apply (zenon_L289_); trivial. % 33.17/33.34 apply (zenon_L60_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.34 apply (zenon_L171_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.34 apply (zenon_L291_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.34 apply (zenon_L307_); trivial. % 33.17/33.34 apply (zenon_L302_); trivial. % 33.17/33.34 apply (zenon_L157_); trivial. % 33.17/33.34 apply (zenon_L275_); trivial. % 33.17/33.34 apply (zenon_L172_); trivial. % 33.17/33.34 apply (zenon_L173_); trivial. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.34 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.34 apply (zenon_L257_); trivial. % 33.17/33.34 apply (zenon_L303_); trivial. % 33.17/33.34 apply (zenon_L182_); trivial. % 33.17/33.34 apply (zenon_L80_); trivial. % 33.17/33.34 apply (zenon_L264_); trivial. % 33.17/33.34 apply (zenon_L321_); trivial. % 33.17/33.34 (* end of lemma zenon_L322_ *) % 33.17/33.34 assert (zenon_L323_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((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) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H2f3 zenon_H1b9 zenon_Ha4 zenon_H94 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Haf zenon_H13 zenon_H3c8 zenon_H1a zenon_H1b zenon_H399 zenon_H41f zenon_H15 zenon_Hb4 zenon_Hfe zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H89 zenon_H32b zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H329 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H75 zenon_H102 zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H346 zenon_Hf6 zenon_H3de zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_H136 zenon_H2d5 zenon_H42d zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H230 zenon_H262 zenon_H261 zenon_H274 zenon_H1fb zenon_H38f zenon_H2e9 zenon_H2e4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H2f1 zenon_H396 zenon_H1bf. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.17/33.34 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.17/33.34 apply (zenon_L322_); trivial. % 33.17/33.34 apply (zenon_L233_); trivial. % 33.17/33.34 apply (zenon_L234_); trivial. % 33.17/33.34 (* end of lemma zenon_L323_ *) % 33.17/33.34 assert (zenon_L324_ : (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op1 (e12) (e11)) = (e10)) -> ((op2 (e22) (e21)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H42f zenon_H21 zenon_Hd3 zenon_H254 zenon_H334 zenon_H1a9 zenon_H1a zenon_H1b. % 33.17/33.34 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H42f. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H21. % 33.17/33.34 cut (((e20) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 33.17/33.34 cut (((h1 (e10)) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H431]. % 33.17/33.34 congruence. % 33.17/33.34 elim (classic ((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [ zenon_intro zenon_H432 | zenon_intro zenon_H433 ]. % 33.17/33.34 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11)))) = ((h1 (e10)) = (h1 (op1 (e12) (e11))))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H431. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H432. % 33.17/33.34 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H433]. % 33.17/33.34 cut (((h1 (op1 (e12) (e11))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H434]. % 33.17/33.34 congruence. % 33.17/33.34 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H435]. % 33.17/33.34 congruence. % 33.17/33.34 exact (zenon_H435 zenon_Hd3). % 33.17/33.34 apply zenon_H433. apply refl_equal. % 33.17/33.34 apply zenon_H433. apply refl_equal. % 33.17/33.34 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H436 | zenon_intro zenon_H437 ]. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((e20) = (op2 (h1 (e12)) (h1 (e11))))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H430. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H436. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H437]. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 33.17/33.34 congruence. % 33.17/33.34 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (h1 (e12)) (h1 (e11))) = (e20))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H438. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H254. % 33.17/33.34 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.17/33.34 cut (((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 33.17/33.34 congruence. % 33.17/33.34 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H436 | zenon_intro zenon_H437 ]. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))). % 33.17/33.34 intro zenon_D_pnotp. % 33.17/33.34 apply zenon_H439. % 33.17/33.34 rewrite <- zenon_D_pnotp. % 33.17/33.34 exact zenon_H436. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H437]. % 33.17/33.34 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H43a]. % 33.17/33.34 congruence. % 33.17/33.34 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.17/33.34 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.34 congruence. % 33.17/33.34 apply (zenon_L166_); trivial. % 33.17/33.34 apply (zenon_L3_); trivial. % 33.17/33.34 apply zenon_H437. apply refl_equal. % 33.17/33.34 apply zenon_H437. apply refl_equal. % 33.17/33.34 apply zenon_H1a7. apply refl_equal. % 33.17/33.34 apply zenon_H437. apply refl_equal. % 33.17/33.34 apply zenon_H437. apply refl_equal. % 33.17/33.34 (* end of lemma zenon_L324_ *) % 33.17/33.34 assert (zenon_L325_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H329 zenon_H77 zenon_H32a zenon_H1b zenon_H1a zenon_H1a9 zenon_H334 zenon_H254 zenon_H21 zenon_H42f zenon_H45. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.17/33.34 exact (zenon_H77 zenon_H7d). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.17/33.34 exact (zenon_H32a zenon_Hfb). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 exact (zenon_H45 zenon_H4a). % 33.17/33.34 (* end of lemma zenon_L325_ *) % 33.17/33.34 assert (zenon_L326_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H75 zenon_H76 zenon_Hd2 zenon_H3f zenon_H43b zenon_Hdc zenon_H9e zenon_H10b zenon_H34 zenon_H31 zenon_Hc6 zenon_H116 zenon_H1b zenon_H1a zenon_H1a9 zenon_H334 zenon_H254 zenon_H21 zenon_H42f zenon_H41 zenon_H9d zenon_H3db. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.17/33.34 exact (zenon_H76 zenon_H7b). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.17/33.34 apply (zenon_L67_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.17/33.34 apply (zenon_L9_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H351 | zenon_intro zenon_H43c ]. % 33.17/33.34 apply (zenon_L255_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H43d ]. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H68 | zenon_intro zenon_H3dc ]. % 33.17/33.34 apply (zenon_L76_); trivial. % 33.17/33.34 apply (zenon_L263_); trivial. % 33.17/33.34 (* end of lemma zenon_L326_ *) % 33.17/33.34 assert (zenon_L327_ : ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e22) (e21)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H12b zenon_H76 zenon_H116 zenon_H9e zenon_Hdc zenon_H10b zenon_H34 zenon_Hc6 zenon_Hd2 zenon_H3f zenon_H43b zenon_H3db zenon_H9d zenon_H254 zenon_H334 zenon_H1a9 zenon_H1a zenon_H1b zenon_H21 zenon_H42f zenon_H75 zenon_Hf6 zenon_H57 zenon_H13 zenon_H31 zenon_He3 zenon_H94 zenon_H111. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.34 apply (zenon_L65_); trivial. % 33.17/33.34 apply (zenon_L326_); trivial. % 33.17/33.34 (* end of lemma zenon_L327_ *) % 33.17/33.34 assert (zenon_L328_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 33.17/33.34 do 0 intro. intros zenon_H43b zenon_H3d2 zenon_H110 zenon_H3d8 zenon_H34 zenon_Hc6 zenon_H116 zenon_H1b zenon_H1a zenon_H1a9 zenon_H334 zenon_H254 zenon_H21 zenon_H42f zenon_He0 zenon_H9d zenon_Ha3 zenon_Hd8 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f zenon_H43 zenon_H3db zenon_H6e. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H351 | zenon_intro zenon_H43c ]. % 33.17/33.34 apply (zenon_L261_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H43d ]. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H68 | zenon_intro zenon_H3dc ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.34 apply (zenon_L174_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.34 apply (zenon_L175_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.34 apply (zenon_L76_); trivial. % 33.17/33.34 apply (zenon_L52_); trivial. % 33.17/33.34 apply (zenon_L263_); trivial. % 33.17/33.34 (* end of lemma zenon_L328_ *) % 33.17/33.34 assert (zenon_L329_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e23) (e21)) = (e20)))\/((op2 (e23) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((e11) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e22) (e23)) = (e20)))\/((op2 (e22) (e20)) = (e23))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H212 zenon_H218 zenon_H29e zenon_H33 zenon_H2db zenon_H42f zenon_H21 zenon_H1b zenon_H1a zenon_H1a9 zenon_H334 zenon_H329 zenon_H36d zenon_H312 zenon_H28b zenon_H311 zenon_H89 zenon_H34 zenon_H31 zenon_H15 zenon_H13 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H10a zenon_Ha2 zenon_H94 zenon_He3 zenon_H57 zenon_Hf6 zenon_H75 zenon_H9d zenon_H3db zenon_H43b zenon_H3f zenon_Hd2 zenon_Hdc zenon_H116 zenon_H76 zenon_H3de zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_H353 zenon_H3c8 zenon_H3d8 zenon_H43 zenon_He0 zenon_Hd8 zenon_H4c zenon_Ha3 zenon_H12e zenon_H5e zenon_H3d3 zenon_H326 zenon_H4f zenon_H136 zenon_H1ed zenon_H1bf zenon_H214. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H42c | zenon_intro zenon_H37b ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L156_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 exact (zenon_H36d zenon_H276). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L325_); trivial. % 33.17/33.34 exact (zenon_H42c zenon_H2d8). % 33.17/33.34 apply (zenon_L21_); trivial. % 33.17/33.34 apply (zenon_L7_); trivial. % 33.17/33.34 apply (zenon_L2_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.34 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.34 apply (zenon_L35_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L156_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 exact (zenon_H36d zenon_H276). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 exact (zenon_H42c zenon_H2d8). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.34 apply (zenon_L64_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L156_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 exact (zenon_H36d zenon_H276). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L327_); trivial. % 33.17/33.34 exact (zenon_H42c zenon_H2d8). % 33.17/33.34 apply (zenon_L22_); trivial. % 33.17/33.34 apply (zenon_L78_); trivial. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.34 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.34 apply (zenon_L257_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.34 apply (zenon_L259_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.34 apply (zenon_L79_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L156_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 exact (zenon_H36d zenon_H276). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L328_); trivial. % 33.17/33.34 exact (zenon_H42c zenon_H2d8). % 33.17/33.34 apply (zenon_L14_); trivial. % 33.17/33.34 apply (zenon_L52_); trivial. % 33.17/33.34 apply (zenon_L33_); trivial. % 33.17/33.34 apply (zenon_L263_); trivial. % 33.17/33.34 apply (zenon_L182_); trivial. % 33.17/33.34 apply (zenon_L80_); trivial. % 33.17/33.34 apply (zenon_L264_); trivial. % 33.17/33.34 apply (zenon_L206_); trivial. % 33.17/33.34 apply (zenon_L98_); trivial. % 33.17/33.34 apply (zenon_L127_); trivial. % 33.17/33.34 (* end of lemma zenon_L329_ *) % 33.17/33.34 assert (zenon_L330_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((e11) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H28e zenon_H33 zenon_H329 zenon_H334 zenon_H1a zenon_H21 zenon_H42f zenon_H89 zenon_H34 zenon_H31 zenon_H15 zenon_H13 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H10a zenon_Ha2 zenon_H76 zenon_H116 zenon_Hdc zenon_Hd2 zenon_H3f zenon_H43b zenon_H3db zenon_H9d zenon_H75 zenon_Hf6 zenon_H57 zenon_He3 zenon_H94 zenon_H3de zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_H353 zenon_H3c8 zenon_Ha3 zenon_H4c zenon_Hd8 zenon_He0 zenon_H43 zenon_H3d8 zenon_H12e zenon_H5e zenon_H3d3 zenon_H326 zenon_H4f zenon_H136 zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.17/33.34 apply (zenon_L104_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.34 apply (zenon_L325_); trivial. % 33.17/33.34 apply (zenon_L21_); trivial. % 33.17/33.34 apply (zenon_L7_); trivial. % 33.17/33.34 apply (zenon_L2_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.34 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.34 apply (zenon_L35_); trivial. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.34 apply (zenon_L64_); trivial. % 33.17/33.34 apply (zenon_L327_); trivial. % 33.17/33.34 apply (zenon_L22_); trivial. % 33.17/33.34 apply (zenon_L78_); trivial. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.34 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.34 apply (zenon_L257_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.34 apply (zenon_L259_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.34 apply (zenon_L79_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.34 apply (zenon_L328_); trivial. % 33.17/33.34 apply (zenon_L14_); trivial. % 33.17/33.34 apply (zenon_L52_); trivial. % 33.17/33.34 apply (zenon_L33_); trivial. % 33.17/33.34 apply (zenon_L263_); trivial. % 33.17/33.34 apply (zenon_L182_); trivial. % 33.17/33.34 apply (zenon_L80_); trivial. % 33.17/33.34 apply (zenon_L264_); trivial. % 33.17/33.34 (* end of lemma zenon_L330_ *) % 33.17/33.34 assert (zenon_L331_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((e11) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.17/33.34 do 0 intro. intros zenon_H3f0 zenon_H230 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H33 zenon_H2e3 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H274 zenon_H329 zenon_H334 zenon_H1a zenon_H21 zenon_H42f zenon_H2db zenon_H2e4 zenon_H89 zenon_H34 zenon_H31 zenon_H15 zenon_H13 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H10a zenon_Ha2 zenon_H76 zenon_H116 zenon_Hdc zenon_Hd2 zenon_H3f zenon_H43b zenon_H3db zenon_H9d zenon_H75 zenon_Hf6 zenon_H57 zenon_He3 zenon_H94 zenon_H3de zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_H353 zenon_H3c8 zenon_Ha3 zenon_H4c zenon_Hd8 zenon_He0 zenon_H43 zenon_H3d8 zenon_H12e zenon_H5e zenon_H3d3 zenon_H326 zenon_H4f zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.34 apply (zenon_L128_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.17/33.34 apply (zenon_L131_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L325_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L21_); trivial. % 33.17/33.34 apply (zenon_L7_); trivial. % 33.17/33.34 apply (zenon_L2_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.34 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.34 apply (zenon_L35_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L324_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.34 apply (zenon_L64_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.34 apply (zenon_L65_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.34 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.34 apply (zenon_L135_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.34 apply (zenon_L118_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.34 apply (zenon_L326_); trivial. % 33.17/33.34 apply (zenon_L145_); trivial. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.34 apply (zenon_L147_); trivial. % 33.17/33.34 apply (zenon_L148_); trivial. % 33.17/33.34 apply (zenon_L22_); trivial. % 33.17/33.34 apply (zenon_L78_); trivial. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.34 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.34 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.35 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.35 apply (zenon_L257_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.35 apply (zenon_L259_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.35 apply (zenon_L79_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.35 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.35 apply (zenon_L135_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.35 apply (zenon_L118_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.35 apply (zenon_L328_); trivial. % 33.17/33.35 apply (zenon_L145_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.35 apply (zenon_L147_); trivial. % 33.17/33.35 apply (zenon_L148_); trivial. % 33.17/33.35 apply (zenon_L14_); trivial. % 33.17/33.35 apply (zenon_L52_); trivial. % 33.17/33.35 apply (zenon_L33_); trivial. % 33.17/33.35 apply (zenon_L263_); trivial. % 33.17/33.35 apply (zenon_L182_); trivial. % 33.17/33.35 apply (zenon_L80_); trivial. % 33.17/33.35 apply (zenon_L264_); trivial. % 33.17/33.35 apply (zenon_L103_); trivial. % 33.17/33.35 (* end of lemma zenon_L331_ *) % 33.17/33.35 assert (zenon_L332_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (e23))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H2bf zenon_H255 zenon_H253 zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2ed zenon_H36a zenon_H2be. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.17/33.35 apply (zenon_L109_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.17/33.35 apply (zenon_L87_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.17/33.35 apply (zenon_L198_); trivial. % 33.17/33.35 exact (zenon_H2be zenon_H2bc). % 33.17/33.35 (* end of lemma zenon_L332_ *) % 33.17/33.35 assert (zenon_L333_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 33.17/33.35 do 0 intro. intros zenon_H43e zenon_H1b2 zenon_H1e3. % 33.17/33.35 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H43e. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H1b2. % 33.17/33.35 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f]. % 33.17/33.35 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 33.17/33.35 congruence. % 33.17/33.35 apply zenon_H23f. apply refl_equal. % 33.17/33.35 apply zenon_H43f. apply sym_equal. exact zenon_H1e3. % 33.17/33.35 (* end of lemma zenon_L333_ *) % 33.17/33.35 assert (zenon_L334_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.35 do 0 intro. intros zenon_H36c zenon_H287 zenon_H252 zenon_H311 zenon_H1bf zenon_H243 zenon_H2bb zenon_H28c zenon_H28b zenon_H2be zenon_H36a zenon_H2ed zenon_H1b zenon_H1a9 zenon_H1ac zenon_H253 zenon_H2bf zenon_H43e zenon_H1b2. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.35 exact (zenon_H287 zenon_H281). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.35 exact (zenon_H252 zenon_H24e). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.35 exact (zenon_H2be zenon_H2bc). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H2da | zenon_intro zenon_H314 ]. % 33.17/33.35 apply (zenon_L207_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H254 | zenon_intro zenon_H315 ]. % 33.17/33.35 apply (zenon_L124_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H255 | zenon_intro zenon_H1e3 ]. % 33.17/33.35 apply (zenon_L332_); trivial. % 33.17/33.35 apply (zenon_L333_); trivial. % 33.17/33.35 (* end of lemma zenon_L334_ *) % 33.17/33.35 assert (zenon_L335_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H370 zenon_H1d7 zenon_H1bb zenon_H363 zenon_H1fc zenon_H1b2 zenon_H43e zenon_H2bf zenon_H253 zenon_H1ac zenon_H1b zenon_H2be zenon_H28b zenon_H28c zenon_H2bb zenon_H243 zenon_H311 zenon_H287 zenon_H36c zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H275 zenon_H2e9 zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.35 apply (zenon_L282_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.35 apply (zenon_L334_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.35 apply (zenon_L217_); trivial. % 33.17/33.35 apply (zenon_L129_); trivial. % 33.17/33.35 (* end of lemma zenon_L335_ *) % 33.17/33.35 assert (zenon_L336_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (e23))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H2bf zenon_H2d8 zenon_H2bb zenon_H1ac zenon_H1a9 zenon_H1b zenon_H2ed zenon_H36a zenon_H2be. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.17/33.35 apply (zenon_L143_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.17/33.35 apply (zenon_L87_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.17/33.35 apply (zenon_L198_); trivial. % 33.17/33.35 exact (zenon_H2be zenon_H2bc). % 33.17/33.35 (* end of lemma zenon_L336_ *) % 33.17/33.35 assert (zenon_L337_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H2be zenon_H1ac zenon_H2bb zenon_H2d8 zenon_H2bf zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H27e zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.35 apply (zenon_L191_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.35 apply (zenon_L336_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.35 apply (zenon_L218_); trivial. % 33.17/33.35 apply (zenon_L129_); trivial. % 33.17/33.35 (* end of lemma zenon_L337_ *) % 33.17/33.35 assert (zenon_L338_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H1fc zenon_H2aa zenon_H1bf zenon_H27e zenon_H252 zenon_H36a zenon_H274 zenon_H2e9 zenon_H278 zenon_H27a zenon_H1f9 zenon_H2bf zenon_H2d8 zenon_H2bb zenon_H2be zenon_H363 zenon_H370 zenon_H1fb zenon_H1ac zenon_H1a9 zenon_H1b zenon_H1bb zenon_H1d7. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.35 apply (zenon_L337_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.35 exact (zenon_H1fb zenon_H21d). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.35 apply (zenon_L87_); trivial. % 33.17/33.35 apply (zenon_L94_); trivial. % 33.17/33.35 (* end of lemma zenon_L338_ *) % 33.17/33.35 assert (zenon_L339_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e10)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (e12))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.35 do 0 intro. intros zenon_H36c zenon_H287 zenon_H252 zenon_H311 zenon_H1bf zenon_H243 zenon_H2bb zenon_H3db zenon_H9d zenon_H41 zenon_H42f zenon_H21 zenon_H334 zenon_H1a zenon_H116 zenon_Hc6 zenon_H31 zenon_H34 zenon_H10b zenon_H9e zenon_Hdc zenon_H43b zenon_H3f zenon_Hd2 zenon_H76 zenon_H75 zenon_H2be zenon_H36a zenon_H2ed zenon_H1b zenon_H1a9 zenon_H1ac zenon_H253 zenon_H2bf zenon_H43e zenon_H1b2. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.35 exact (zenon_H287 zenon_H281). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.35 exact (zenon_H252 zenon_H24e). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.35 exact (zenon_H2be zenon_H2bc). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H2da | zenon_intro zenon_H314 ]. % 33.17/33.35 apply (zenon_L207_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H254 | zenon_intro zenon_H315 ]. % 33.17/33.35 apply (zenon_L326_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H255 | zenon_intro zenon_H1e3 ]. % 33.17/33.35 apply (zenon_L332_); trivial. % 33.17/33.35 apply (zenon_L333_); trivial. % 33.17/33.35 (* end of lemma zenon_L339_ *) % 33.17/33.35 assert (zenon_L340_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.35 do 0 intro. intros zenon_H36c zenon_H287 zenon_H252 zenon_H311 zenon_H1bf zenon_H243 zenon_H2bb zenon_H6e zenon_H3db zenon_H43 zenon_H12f zenon_H31 zenon_H13 zenon_H94 zenon_H51 zenon_H4c zenon_Hd8 zenon_Ha3 zenon_H9d zenon_He0 zenon_H42f zenon_H21 zenon_H334 zenon_H1a zenon_H116 zenon_Hc6 zenon_H34 zenon_H3d8 zenon_H110 zenon_H3d2 zenon_H43b zenon_H2be zenon_H36a zenon_H2ed zenon_H1b zenon_H1a9 zenon_H1ac zenon_H253 zenon_H2bf zenon_H43e zenon_H1b2. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.35 exact (zenon_H287 zenon_H281). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.35 exact (zenon_H252 zenon_H24e). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.35 exact (zenon_H2be zenon_H2bc). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H2da | zenon_intro zenon_H314 ]. % 33.17/33.35 apply (zenon_L207_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H254 | zenon_intro zenon_H315 ]. % 33.17/33.35 apply (zenon_L328_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H255 | zenon_intro zenon_H1e3 ]. % 33.17/33.35 apply (zenon_L332_); trivial. % 33.17/33.35 apply (zenon_L333_); trivial. % 33.17/33.35 (* end of lemma zenon_L340_ *) % 33.17/33.35 assert (zenon_L341_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H1b2 zenon_H43e zenon_H2bf zenon_H253 zenon_H1ac zenon_H1b zenon_H2be zenon_H43b zenon_H3d2 zenon_H110 zenon_H3d8 zenon_H34 zenon_Hc6 zenon_H116 zenon_H1a zenon_H334 zenon_H21 zenon_H42f zenon_He0 zenon_H9d zenon_Ha3 zenon_Hd8 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f zenon_H43 zenon_H3db zenon_H6e zenon_H2bb zenon_H243 zenon_H311 zenon_H287 zenon_H36c zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H275 zenon_H2e9 zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.35 apply (zenon_L191_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.35 apply (zenon_L340_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.35 apply (zenon_L217_); trivial. % 33.17/33.35 apply (zenon_L129_); trivial. % 33.17/33.35 (* end of lemma zenon_L341_ *) % 33.17/33.35 assert (zenon_L342_ : ((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e20)) = (e23))) -> ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> ((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H301 zenon_H38f zenon_H261 zenon_H262 zenon_H230 zenon_H42d zenon_H309 zenon_H2d5 zenon_H252 zenon_H1f9 zenon_H307 zenon_H1d0 zenon_H30f zenon_H136 zenon_H4f zenon_H326 zenon_H3d3 zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_Hd8 zenon_He0 zenon_H43 zenon_H3d8 zenon_H3c8 zenon_H353 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H3de zenon_H94 zenon_He3 zenon_H57 zenon_Hf6 zenon_H76 zenon_H116 zenon_Hdc zenon_Hd2 zenon_H3f zenon_H43b zenon_H3db zenon_H9d zenon_H75 zenon_Ha2 zenon_H10a zenon_Hce zenon_Hbf zenon_H8e zenon_Hc6 zenon_H13 zenon_H15 zenon_H31 zenon_H34 zenon_H89 zenon_H2e4 zenon_H2db zenon_H278 zenon_H27a zenon_H27e zenon_H42f zenon_H21 zenon_H1a zenon_H334 zenon_H329 zenon_H1fc zenon_H1d7 zenon_H1b zenon_H1ac zenon_H1fb zenon_H363 zenon_H36c zenon_H2bf zenon_H2bb zenon_H36a zenon_H28b zenon_H253 zenon_H43e zenon_H1b2 zenon_H311 zenon_H287 zenon_H2e9 zenon_H274 zenon_H2aa zenon_H370 zenon_H393 zenon_H391 zenon_H2b1 zenon_H2e3 zenon_H33 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H2f1 zenon_H30d zenon_H303. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H373 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H248 | zenon_intro zenon_H243 ]. % 33.17/33.35 apply (zenon_L316_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.17/33.35 apply (zenon_L153_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.35 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.35 apply (zenon_L335_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.35 apply (zenon_L118_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.35 apply (zenon_L325_); trivial. % 33.17/33.35 apply (zenon_L338_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.35 apply (zenon_L223_); trivial. % 33.17/33.35 apply (zenon_L225_); trivial. % 33.17/33.35 apply (zenon_L21_); trivial. % 33.17/33.35 apply (zenon_L7_); trivial. % 33.17/33.35 apply (zenon_L2_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.35 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.35 apply (zenon_L35_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.35 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.35 apply (zenon_L335_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.35 apply (zenon_L118_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.35 apply (zenon_L324_); trivial. % 33.17/33.35 apply (zenon_L338_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.35 apply (zenon_L223_); trivial. % 33.17/33.35 apply (zenon_L225_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.35 apply (zenon_L64_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.35 apply (zenon_L65_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.35 apply (zenon_L282_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.35 apply (zenon_L339_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.35 apply (zenon_L218_); trivial. % 33.17/33.35 apply (zenon_L129_); trivial. % 33.17/33.35 apply (zenon_L22_); trivial. % 33.17/33.35 apply (zenon_L78_); trivial. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.35 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.35 apply (zenon_L257_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.35 apply (zenon_L259_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.35 apply (zenon_L79_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.35 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.35 apply (zenon_L341_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.35 exact (zenon_H1fb zenon_H21d). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.35 apply (zenon_L87_); trivial. % 33.17/33.35 apply (zenon_L94_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.35 apply (zenon_L223_); trivial. % 33.17/33.35 apply (zenon_L225_); trivial. % 33.17/33.35 apply (zenon_L14_); trivial. % 33.17/33.35 apply (zenon_L52_); trivial. % 33.17/33.35 apply (zenon_L33_); trivial. % 33.17/33.35 apply (zenon_L263_); trivial. % 33.17/33.35 apply (zenon_L182_); trivial. % 33.17/33.35 apply (zenon_L80_); trivial. % 33.17/33.35 apply (zenon_L264_); trivial. % 33.17/33.35 apply (zenon_L91_); trivial. % 33.17/33.35 apply (zenon_L154_); trivial. % 33.17/33.35 apply (zenon_L93_); trivial. % 33.17/33.35 apply (zenon_L321_); trivial. % 33.17/33.35 (* end of lemma zenon_L342_ *) % 33.17/33.35 assert (zenon_L343_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H2f3 zenon_H396 zenon_H38f zenon_H261 zenon_H262 zenon_H230 zenon_H42d zenon_H2d5 zenon_H1d0 zenon_H136 zenon_H4f zenon_H326 zenon_H3d3 zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_Hd8 zenon_He0 zenon_H43 zenon_H3d8 zenon_H3c8 zenon_H353 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H3de zenon_H94 zenon_He3 zenon_H57 zenon_Hf6 zenon_H76 zenon_H116 zenon_Hdc zenon_Hd2 zenon_H3f zenon_H43b zenon_H3db zenon_H9d zenon_H75 zenon_Ha2 zenon_H10a zenon_Hce zenon_Hbf zenon_H8e zenon_Hc6 zenon_H13 zenon_H15 zenon_H31 zenon_H34 zenon_H89 zenon_H2e4 zenon_H2db zenon_H278 zenon_H27a zenon_H27e zenon_H42f zenon_H21 zenon_H1a zenon_H334 zenon_H329 zenon_H1fc zenon_H1d7 zenon_H1b zenon_H1ac zenon_H1fb zenon_H363 zenon_H36c zenon_H2bf zenon_H2bb zenon_H36a zenon_H28b zenon_H253 zenon_H43e zenon_H311 zenon_H2e9 zenon_H274 zenon_H2aa zenon_H370 zenon_H393 zenon_H391 zenon_H2b1 zenon_H2e3 zenon_H33 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H2f1 zenon_H1b9 zenon_H1b4 zenon_H1bf. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.17/33.35 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H287 | zenon_intro zenon_H1b3 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.17/33.35 apply (zenon_L342_); trivial. % 33.17/33.35 apply (zenon_L233_); trivial. % 33.17/33.35 apply (zenon_L234_); trivial. % 33.17/33.35 apply (zenon_L88_); trivial. % 33.17/33.35 (* end of lemma zenon_L343_ *) % 33.17/33.35 assert (zenon_L344_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H13 zenon_H3d6 zenon_H440. % 33.17/33.35 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hac | zenon_intro zenon_Had ]. % 33.17/33.35 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H440. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_Hac. % 33.17/33.35 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 33.17/33.35 cut (((op1 (e12) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H441]. % 33.17/33.35 congruence. % 33.17/33.35 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e12) (e10)) = (op1 (e10) (e10)))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H441. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H13. % 33.17/33.35 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.17/33.35 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H442]. % 33.17/33.35 congruence. % 33.17/33.35 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_Hac | zenon_intro zenon_Had ]. % 33.17/33.35 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H442. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_Hac. % 33.17/33.35 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 33.17/33.35 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3d1]. % 33.17/33.35 congruence. % 33.17/33.35 exact (zenon_H3d1 zenon_H3d6). % 33.17/33.35 apply zenon_Had. apply refl_equal. % 33.17/33.35 apply zenon_Had. apply refl_equal. % 33.17/33.35 apply zenon_H85. apply refl_equal. % 33.17/33.35 apply zenon_Had. apply refl_equal. % 33.17/33.35 apply zenon_Had. apply refl_equal. % 33.17/33.35 (* end of lemma zenon_L344_ *) % 33.17/33.35 assert (zenon_L345_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_Ha4 zenon_Hd3 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H113 zenon_Hdc. % 33.17/33.35 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.17/33.35 apply (zenon_L48_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.17/33.35 apply (zenon_L22_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.17/33.35 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.35 apply (zenon_L66_); trivial. % 33.17/33.35 (* end of lemma zenon_L345_ *) % 33.17/33.35 assert (zenon_L346_ : (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H443 zenon_H399 zenon_H9e zenon_H257 zenon_H1bf zenon_H334 zenon_H1a9. % 33.17/33.35 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H443. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H399. % 33.17/33.35 cut (((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H444]. % 33.17/33.35 cut (((h1 (e13)) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H445]. % 33.17/33.35 congruence. % 33.17/33.35 elim (classic ((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [ zenon_intro zenon_H446 | zenon_intro zenon_H447 ]. % 33.17/33.35 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12)))) = ((h1 (e13)) = (h1 (op1 (e12) (e12))))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H445. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H446. % 33.17/33.35 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H447]. % 33.17/33.35 cut (((h1 (op1 (e12) (e12))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H448]. % 33.17/33.35 congruence. % 33.17/33.35 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H352]. % 33.17/33.35 congruence. % 33.17/33.35 exact (zenon_H352 zenon_H9e). % 33.17/33.35 apply zenon_H447. apply refl_equal. % 33.17/33.35 apply zenon_H447. apply refl_equal. % 33.17/33.35 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H449 | zenon_intro zenon_H44a ]. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e12))))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H444. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H449. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H44a]. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H44b]. % 33.17/33.35 congruence. % 33.17/33.35 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (e20)))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H44b. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H257. % 33.17/33.35 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H428]. % 33.17/33.35 cut (((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H44c]. % 33.17/33.35 congruence. % 33.17/33.35 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H449 | zenon_intro zenon_H44a ]. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))). % 33.17/33.35 intro zenon_D_pnotp. % 33.17/33.35 apply zenon_H44c. % 33.17/33.35 rewrite <- zenon_D_pnotp. % 33.17/33.35 exact zenon_H449. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H44a]. % 33.17/33.35 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H44d]. % 33.17/33.35 congruence. % 33.17/33.35 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.35 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.35 congruence. % 33.17/33.35 apply (zenon_L166_); trivial. % 33.17/33.35 apply (zenon_L166_); trivial. % 33.17/33.35 apply zenon_H44a. apply refl_equal. % 33.17/33.35 apply zenon_H44a. apply refl_equal. % 33.17/33.35 exact (zenon_H428 zenon_H1bf). % 33.17/33.35 apply zenon_H44a. apply refl_equal. % 33.17/33.35 apply zenon_H44a. apply refl_equal. % 33.17/33.35 (* end of lemma zenon_L346_ *) % 33.17/33.35 assert (zenon_L347_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H3c8 zenon_Hfe zenon_Hb4 zenon_Hed zenon_H15 zenon_H3c zenon_H3d3 zenon_H440 zenon_H13 zenon_Hdc zenon_Ha2 zenon_H34 zenon_H31 zenon_H8e zenon_Hd3 zenon_Ha4 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H257 zenon_H399 zenon_H443 zenon_H326. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3c8); [ zenon_intro zenon_Hfd | zenon_intro zenon_H3cb ]. % 33.17/33.35 apply (zenon_L59_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3cb); [ zenon_intro zenon_H350 | zenon_intro zenon_H3cc ]. % 33.17/33.35 apply (zenon_L289_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3cc); [ zenon_intro zenon_H3ce | zenon_intro zenon_H3cd ]. % 33.17/33.35 apply (zenon_L302_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H3d6 | zenon_intro zenon_H3d5 ]. % 33.17/33.35 apply (zenon_L344_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d5); [ zenon_intro zenon_H113 | zenon_intro zenon_H3d7 ]. % 33.17/33.35 apply (zenon_L345_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H9e | zenon_intro zenon_H3cf ]. % 33.17/33.35 apply (zenon_L346_); trivial. % 33.17/33.35 apply (zenon_L258_); trivial. % 33.17/33.35 (* end of lemma zenon_L347_ *) % 33.17/33.35 assert (zenon_L348_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H329 zenon_H77 zenon_H32a zenon_H5e zenon_H31 zenon_H13 zenon_H57 zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H3f zenon_H46 zenon_H62 zenon_H32b zenon_Haf zenon_H443 zenon_H399 zenon_H257 zenon_H1bf zenon_H334 zenon_H1a9 zenon_Ha4 zenon_H8e zenon_H34 zenon_Hdc zenon_H440 zenon_H3d3 zenon_H15 zenon_Hb4 zenon_Hfe zenon_H3c8 zenon_H31a zenon_H3a zenon_H31f zenon_H78 zenon_H10a zenon_H89 zenon_H322 zenon_Ha2 zenon_H326 zenon_H6a zenon_H33 zenon_H69 zenon_H45. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.17/33.35 exact (zenon_H77 zenon_H7d). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.17/33.35 exact (zenon_H32a zenon_Hfb). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.35 apply (zenon_L7_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.35 exact (zenon_H6a zenon_H6d). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.35 apply (zenon_L30_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.35 apply (zenon_L347_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.35 apply (zenon_L160_); trivial. % 33.17/33.35 apply (zenon_L163_); trivial. % 33.17/33.35 apply (zenon_L16_); trivial. % 33.17/33.35 exact (zenon_H45 zenon_H4a). % 33.17/33.35 (* end of lemma zenon_L348_ *) % 33.17/33.35 assert (zenon_L349_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (e11))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H69 zenon_H39 zenon_H6a zenon_H326 zenon_H443 zenon_H399 zenon_H257 zenon_H1bf zenon_H334 zenon_H1a9 zenon_Ha4 zenon_Hd3 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_Hdc zenon_H13 zenon_H440 zenon_H3d3 zenon_H15 zenon_Hed zenon_Hb4 zenon_Hfe zenon_H3c8 zenon_H41d. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H35 | zenon_intro zenon_H6b ]. % 33.17/33.35 exact (zenon_H39 zenon_H35). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 33.17/33.35 exact (zenon_H6a zenon_H6d). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H3c | zenon_intro zenon_H50 ]. % 33.17/33.35 apply (zenon_L347_); trivial. % 33.17/33.35 exact (zenon_H41d zenon_H50). % 33.17/33.35 (* end of lemma zenon_L349_ *) % 33.17/33.35 assert (zenon_L350_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (e13))) -> (~((op1 (e12) (e11)) = (e13))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e12) (e13)) = (e13))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H3d3 zenon_H3d1 zenon_H3d2 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H257 zenon_H399 zenon_H443 zenon_H3d4. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d3); [ zenon_intro zenon_H3d6 | zenon_intro zenon_H3d5 ]. % 33.17/33.35 exact (zenon_H3d1 zenon_H3d6). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d5); [ zenon_intro zenon_H113 | zenon_intro zenon_H3d7 ]. % 33.17/33.35 exact (zenon_H3d2 zenon_H113). % 33.17/33.35 apply (zenon_or_s _ _ zenon_H3d7); [ zenon_intro zenon_H9e | zenon_intro zenon_H3cf ]. % 33.17/33.35 apply (zenon_L346_); trivial. % 33.17/33.35 exact (zenon_H3d4 zenon_H3cf). % 33.17/33.35 (* end of lemma zenon_L350_ *) % 33.17/33.35 assert (zenon_L351_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((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 (e12) (e10)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H136 zenon_H81 zenon_H3a zenon_H31a zenon_H31f zenon_H322 zenon_H89 zenon_H32b zenon_H329 zenon_H440 zenon_H15 zenon_Hb4 zenon_Hfe zenon_Hc6 zenon_Hce zenon_Hd2 zenon_H43 zenon_H3f zenon_Hd8 zenon_Hd5 zenon_H69 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H5d zenon_H75 zenon_H102 zenon_Haf zenon_H33 zenon_H10a zenon_H9d zenon_Hf6 zenon_He3 zenon_H4f zenon_H31 zenon_H34 zenon_Hbf zenon_H3d3 zenon_H257 zenon_H1bf zenon_H334 zenon_H1a9 zenon_H399 zenon_H443 zenon_H326 zenon_H3db zenon_H3c8 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H76 zenon_H12e zenon_H5e zenon_H57 zenon_He0 zenon_H3de zenon_H13. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.35 apply (zenon_L348_); trivial. % 33.17/33.35 apply (zenon_L20_); trivial. % 33.17/33.35 apply (zenon_L21_); trivial. % 33.17/33.35 apply (zenon_L28_); trivial. % 33.17/33.35 apply (zenon_L29_); trivial. % 33.17/33.35 apply (zenon_L30_); trivial. % 33.17/33.35 apply (zenon_L7_); trivial. % 33.17/33.35 apply (zenon_L31_); trivial. % 33.17/33.35 apply (zenon_L2_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.35 apply (zenon_L54_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.35 apply (zenon_L35_); trivial. % 33.17/33.35 apply (zenon_L349_); trivial. % 33.17/33.35 apply (zenon_L289_); trivial. % 33.17/33.35 apply (zenon_L60_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.35 apply (zenon_L64_); trivial. % 33.17/33.35 apply (zenon_L346_); trivial. % 33.17/33.35 apply (zenon_L22_); trivial. % 33.17/33.35 apply (zenon_L78_); trivial. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.35 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.35 apply (zenon_L257_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3cf ]. % 33.17/33.35 apply (zenon_L350_); trivial. % 33.17/33.35 apply (zenon_L258_); trivial. % 33.17/33.35 apply (zenon_L33_); trivial. % 33.17/33.35 apply (zenon_L263_); trivial. % 33.17/33.35 apply (zenon_L182_); trivial. % 33.17/33.35 apply (zenon_L80_); trivial. % 33.17/33.35 apply (zenon_L264_); trivial. % 33.17/33.35 (* end of lemma zenon_L351_ *) % 33.17/33.35 assert (zenon_L352_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H367 zenon_H1ed zenon_H1ca zenon_H26a zenon_H266 zenon_H23d zenon_H2bb zenon_H1e5 zenon_H270 zenon_H13 zenon_H3de zenon_He0 zenon_H57 zenon_H5e zenon_H12e zenon_H76 zenon_H34c zenon_H349 zenon_H6a zenon_Hf9 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_Ha3 zenon_H4c zenon_H94 zenon_H353 zenon_H3c8 zenon_H3db zenon_H326 zenon_H443 zenon_H399 zenon_H334 zenon_H3d3 zenon_Hbf zenon_H34 zenon_H31 zenon_H4f zenon_He3 zenon_Hf6 zenon_H9d zenon_H10a zenon_H33 zenon_Haf zenon_H102 zenon_H75 zenon_H5d zenon_H62 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_H69 zenon_Hd5 zenon_Hd8 zenon_H3f zenon_H43 zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H440 zenon_H329 zenon_H32b zenon_H89 zenon_H322 zenon_H31f zenon_H31a zenon_H3a zenon_H81 zenon_H136 zenon_H261 zenon_H254 zenon_H253 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H25d. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.35 apply (zenon_L98_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.35 apply (zenon_L299_); trivial. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.35 apply (zenon_L351_); trivial. % 33.17/33.35 apply (zenon_L112_); trivial. % 33.17/33.35 (* end of lemma zenon_L352_ *) % 33.17/33.35 assert (zenon_L353_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H28e zenon_H1ed zenon_H1bf zenon_H270 zenon_H26a zenon_H23d zenon_H2bb zenon_H261 zenon_H25d zenon_H262 zenon_H253 zenon_H1ca zenon_H266 zenon_H1e5 zenon_H136 zenon_H3db zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_Hf6 zenon_Hf9 zenon_H102 zenon_H75 zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H329 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H32b zenon_H89 zenon_H322 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H3d3 zenon_H326 zenon_H334 zenon_H399 zenon_H443 zenon_Hdc zenon_H8e zenon_Ha2 zenon_Ha4 zenon_H440 zenon_H3c8 zenon_H13 zenon_Haf zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H81 zenon_Ha3 zenon_H9d zenon_H94 zenon_H367 zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.35 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.35 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.17/33.35 apply (zenon_L104_); trivial. % 33.17/33.35 apply (zenon_L352_); trivial. % 33.17/33.35 (* end of lemma zenon_L353_ *) % 33.17/33.35 assert (zenon_L354_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 33.17/33.35 do 0 intro. intros zenon_H3f0 zenon_H1b zenon_H230 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H136 zenon_H3db zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_Hf6 zenon_Hf9 zenon_H102 zenon_H75 zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H329 zenon_H33 zenon_H34 zenon_H31 zenon_H6a zenon_H32b zenon_H89 zenon_H322 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hfe zenon_Hb4 zenon_H15 zenon_H3d3 zenon_H326 zenon_H334 zenon_H399 zenon_H443 zenon_Hdc zenon_H8e zenon_Ha2 zenon_Ha4 zenon_H440 zenon_H3c8 zenon_H13 zenon_Haf zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H81 zenon_Ha3 zenon_H9d zenon_H94. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.36 apply (zenon_L128_); trivial. % 33.17/33.36 apply (zenon_L351_); trivial. % 33.17/33.36 apply (zenon_L103_); trivial. % 33.17/33.36 (* end of lemma zenon_L354_ *) % 33.17/33.36 assert (zenon_L355_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False). % 33.17/33.36 do 0 intro. intros zenon_H42d zenon_H243 zenon_H25c. % 33.17/33.36 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H42d. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H243. % 33.17/33.36 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25f]. % 33.17/33.36 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 33.17/33.36 congruence. % 33.17/33.36 apply zenon_H1bd. apply refl_equal. % 33.17/33.36 apply zenon_H25f. apply sym_equal. exact zenon_H25c. % 33.17/33.36 (* end of lemma zenon_L355_ *) % 33.17/33.36 assert (zenon_L356_ : ((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23))) -> ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e22)) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H303 zenon_H307 zenon_H1b zenon_H1d0 zenon_H136 zenon_H3db zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_Hf6 zenon_Hf9 zenon_H102 zenon_H75 zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H367 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Haf zenon_H13 zenon_H3c8 zenon_H440 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_Hdc zenon_H443 zenon_H399 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H326 zenon_H3d3 zenon_H15 zenon_Hb4 zenon_Hfe zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H322 zenon_H89 zenon_H32b zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H329 zenon_H81 zenon_Ha3 zenon_H9d zenon_H94 zenon_H42d zenon_H30b zenon_H43e zenon_H1b2 zenon_H305 zenon_H1f9 zenon_H252 zenon_H2c7 zenon_H2d5. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H248 | zenon_intro zenon_H243 ]. % 33.17/33.36 apply (zenon_L316_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1e3 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H260 | zenon_intro zenon_H25c ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.36 exact (zenon_H1f2 zenon_H1ec). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.36 exact (zenon_H2be zenon_H2bc). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.36 apply (zenon_L348_); trivial. % 33.17/33.36 exact (zenon_H260 zenon_H25c). % 33.17/33.36 apply (zenon_L20_); trivial. % 33.17/33.36 apply (zenon_L21_); trivial. % 33.17/33.36 apply (zenon_L28_); trivial. % 33.17/33.36 apply (zenon_L29_); trivial. % 33.17/33.36 apply (zenon_L30_); trivial. % 33.17/33.36 apply (zenon_L7_); trivial. % 33.17/33.36 apply (zenon_L31_); trivial. % 33.17/33.36 apply (zenon_L2_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.36 apply (zenon_L54_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H41d | zenon_intro zenon_H350 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.36 apply (zenon_L35_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.36 exact (zenon_H1f2 zenon_H1ec). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.36 exact (zenon_H2be zenon_H2bc). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.36 apply (zenon_L349_); trivial. % 33.17/33.36 exact (zenon_H260 zenon_H25c). % 33.17/33.36 apply (zenon_L289_); trivial. % 33.17/33.36 apply (zenon_L60_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.36 apply (zenon_L64_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.36 exact (zenon_H1f2 zenon_H1ec). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.36 exact (zenon_H2be zenon_H2bc). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.36 apply (zenon_L346_); trivial. % 33.17/33.36 exact (zenon_H260 zenon_H25c). % 33.17/33.36 apply (zenon_L22_); trivial. % 33.17/33.36 apply (zenon_L78_); trivial. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.36 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.36 apply (zenon_L257_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3cf ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.36 exact (zenon_H1f2 zenon_H1ec). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.36 exact (zenon_H2be zenon_H2bc). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.36 apply (zenon_L350_); trivial. % 33.17/33.36 exact (zenon_H260 zenon_H25c). % 33.17/33.36 apply (zenon_L258_); trivial. % 33.17/33.36 apply (zenon_L33_); trivial. % 33.17/33.36 apply (zenon_L263_); trivial. % 33.17/33.36 apply (zenon_L182_); trivial. % 33.17/33.36 apply (zenon_L80_); trivial. % 33.17/33.36 apply (zenon_L264_); trivial. % 33.17/33.36 apply (zenon_L355_); trivial. % 33.17/33.36 apply (zenon_L93_); trivial. % 33.17/33.36 apply (zenon_L333_); trivial. % 33.17/33.36 (* end of lemma zenon_L356_ *) % 33.17/33.36 assert (zenon_L357_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H2f3 zenon_H1b9 zenon_H1b zenon_H1d0 zenon_H136 zenon_H3db zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_Hf6 zenon_Hf9 zenon_H102 zenon_H75 zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H367 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Haf zenon_H13 zenon_H3c8 zenon_H440 zenon_Ha4 zenon_Ha2 zenon_H8e zenon_Hdc zenon_H443 zenon_H399 zenon_H1a9 zenon_H334 zenon_H326 zenon_H3d3 zenon_H15 zenon_Hb4 zenon_Hfe zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H322 zenon_H89 zenon_H32b zenon_H6a zenon_H31 zenon_H34 zenon_H33 zenon_H329 zenon_H81 zenon_Ha3 zenon_H9d zenon_H94 zenon_H42d zenon_H43e zenon_H2d5 zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H230 zenon_H262 zenon_H261 zenon_H274 zenon_H1fb zenon_H38f zenon_H2e9 zenon_H2e4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H2f1 zenon_H396 zenon_H1bf. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.17/33.36 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.17/33.36 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H373 ]. % 33.17/33.36 apply (zenon_L356_); trivial. % 33.17/33.36 apply (zenon_L321_); trivial. % 33.17/33.36 apply (zenon_L233_); trivial. % 33.17/33.36 apply (zenon_L234_); trivial. % 33.17/33.36 (* end of lemma zenon_L357_ *) % 33.17/33.36 assert (zenon_L358_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e22))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H1b2 zenon_H3a9 zenon_H44e. % 33.17/33.36 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H364 | zenon_intro zenon_H365 ]. % 33.17/33.36 cut (((e22) = (e22)) = ((e20) = (e22))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H44e. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H364. % 33.17/33.36 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H365]. % 33.17/33.36 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H44f]. % 33.17/33.36 congruence. % 33.17/33.36 cut (((op2 (e20) (e23)) = (e20)) = ((e22) = (e20))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H44f. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H1b2. % 33.17/33.36 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.17/33.36 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 33.17/33.36 congruence. % 33.17/33.36 exact (zenon_H3ad zenon_H3a9). % 33.17/33.36 apply zenon_H1a7. apply refl_equal. % 33.17/33.36 apply zenon_H365. apply refl_equal. % 33.17/33.36 apply zenon_H365. apply refl_equal. % 33.17/33.36 (* end of lemma zenon_L358_ *) % 33.17/33.36 assert (zenon_L359_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H31 zenon_H10f zenon_Hec zenon_Hed zenon_H13 zenon_H450. % 33.17/33.36 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ]. % 33.17/33.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H450. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_Hc7. % 33.17/33.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.17/33.36 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H451]. % 33.17/33.36 congruence. % 33.17/33.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H451. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H31. % 33.17/33.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 33.17/33.36 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 33.17/33.36 congruence. % 33.17/33.36 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ]. % 33.17/33.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H3da. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_Hc7. % 33.17/33.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 33.17/33.36 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 33.17/33.36 congruence. % 33.17/33.36 exact (zenon_H10b zenon_H10f). % 33.17/33.36 apply zenon_Hc8. apply refl_equal. % 33.17/33.36 apply zenon_Hc8. apply refl_equal. % 33.17/33.36 apply (zenon_L55_); trivial. % 33.17/33.36 apply zenon_Hc8. apply refl_equal. % 33.17/33.36 apply zenon_Hc8. apply refl_equal. % 33.17/33.36 (* end of lemma zenon_L359_ *) % 33.17/33.36 assert (zenon_L360_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_Hf6 zenon_H450 zenon_Hed zenon_H10f zenon_He3 zenon_H94 zenon_H31 zenon_H13 zenon_H57. % 33.17/33.36 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf7 ]. % 33.17/33.36 apply (zenon_L359_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf8 ]. % 33.17/33.36 apply (zenon_L53_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H98 | zenon_intro zenon_H56 ]. % 33.17/33.36 apply (zenon_L26_); trivial. % 33.17/33.36 apply (zenon_L14_); trivial. % 33.17/33.36 (* end of lemma zenon_L360_ *) % 33.17/33.36 assert (zenon_L361_ : ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H2a8 zenon_H334 zenon_H399 zenon_H1bf zenon_H1a9 zenon_H452. % 33.17/33.36 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H453 | zenon_intro zenon_H454 ]. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H452. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H453. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H454]. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H455]. % 33.17/33.36 congruence. % 33.17/33.36 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h1 (e12)) (h1 (e13))) = (op2 (op2 (e20) (e20)) (e20)))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H455. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H2a8. % 33.17/33.36 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 33.17/33.36 cut (((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H456]. % 33.17/33.36 congruence. % 33.17/33.36 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H453 | zenon_intro zenon_H454 ]. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H456. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H453. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H454]. % 33.17/33.36 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H457]. % 33.17/33.36 congruence. % 33.17/33.36 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.17/33.36 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.36 congruence. % 33.17/33.36 apply (zenon_L166_); trivial. % 33.17/33.36 apply (zenon_L235_); trivial. % 33.17/33.36 apply zenon_H454. apply refl_equal. % 33.17/33.36 apply zenon_H454. apply refl_equal. % 33.17/33.36 exact (zenon_H341 zenon_H1a9). % 33.17/33.36 apply zenon_H454. apply refl_equal. % 33.17/33.36 apply zenon_H454. apply refl_equal. % 33.17/33.36 (* end of lemma zenon_L361_ *) % 33.17/33.36 assert (zenon_L362_ : (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H458 zenon_H110 zenon_H2a8 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf. % 33.17/33.36 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H458. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H334. % 33.17/33.36 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H452]. % 33.17/33.36 cut (((h1 (e12)) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H459]. % 33.17/33.36 congruence. % 33.17/33.36 elim (classic ((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [ zenon_intro zenon_H45a | zenon_intro zenon_H45b ]. % 33.17/33.36 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13)))) = ((h1 (e12)) = (h1 (op1 (e12) (e13))))). % 33.17/33.36 intro zenon_D_pnotp. % 33.17/33.36 apply zenon_H459. % 33.17/33.36 rewrite <- zenon_D_pnotp. % 33.17/33.36 exact zenon_H45a. % 33.17/33.36 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H45b]. % 33.17/33.36 cut (((h1 (op1 (e12) (e13))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45c]. % 33.17/33.36 congruence. % 33.17/33.36 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10c]. % 33.17/33.36 congruence. % 33.17/33.36 exact (zenon_H10c zenon_H110). % 33.17/33.36 apply zenon_H45b. apply refl_equal. % 33.17/33.36 apply zenon_H45b. apply refl_equal. % 33.17/33.36 apply (zenon_L361_); trivial. % 33.17/33.36 (* end of lemma zenon_L362_ *) % 33.17/33.36 assert (zenon_L363_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H10a zenon_H89 zenon_H57 zenon_H13 zenon_H31 zenon_H94 zenon_He3 zenon_Hed zenon_H450 zenon_Hf6 zenon_Ha2 zenon_H458 zenon_H2a8 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Haa | zenon_intro zenon_H10d ]. % 33.17/33.36 apply (zenon_L29_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 33.17/33.36 apply (zenon_L360_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H110 ]. % 33.17/33.36 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.36 apply (zenon_L362_); trivial. % 33.17/33.36 (* end of lemma zenon_L363_ *) % 33.17/33.36 assert (zenon_L364_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H329 zenon_H77 zenon_H32a zenon_H326 zenon_Ha2 zenon_H322 zenon_H89 zenon_H31 zenon_H13 zenon_H10a zenon_H3a zenon_H316 zenon_H57 zenon_H94 zenon_He3 zenon_H450 zenon_Hf6 zenon_H458 zenon_H2a8 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf zenon_Haf zenon_H32b zenon_H45. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H7d | zenon_intro zenon_H32c ]. % 33.17/33.36 exact (zenon_H77 zenon_H7d). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H32d ]. % 33.17/33.36 exact (zenon_H32a zenon_Hfb). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H4a ]. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.36 apply (zenon_L30_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.36 apply (zenon_L363_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.36 apply (zenon_L157_); trivial. % 33.17/33.36 apply (zenon_L163_); trivial. % 33.17/33.36 exact (zenon_H45 zenon_H4a). % 33.17/33.36 (* end of lemma zenon_L364_ *) % 33.17/33.36 assert (zenon_L365_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H75 zenon_H76 zenon_H346 zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H78 zenon_H31f zenon_H31a zenon_Hf2 zenon_H62 zenon_H46 zenon_H3f zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H5e zenon_Hb4 zenon_H330 zenon_H45 zenon_H32b zenon_Haf zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_H2a8 zenon_H458 zenon_Hf6 zenon_H450 zenon_He3 zenon_H94 zenon_H57 zenon_H3a zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_Ha2 zenon_H326 zenon_H32a zenon_H77 zenon_H329 zenon_H322. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.17/33.36 exact (zenon_H76 zenon_H7b). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.17/33.36 exact (zenon_H77 zenon_H7d). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.17/33.36 exact (zenon_H78 zenon_H40). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H347 ]. % 33.17/33.36 apply (zenon_L31_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H348 ]. % 33.17/33.36 apply (zenon_L165_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H316 | zenon_intro zenon_H344 ]. % 33.17/33.36 apply (zenon_L364_); trivial. % 33.17/33.36 apply (zenon_L168_); trivial. % 33.17/33.36 (* end of lemma zenon_L365_ *) % 33.17/33.36 assert (zenon_L366_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e23)) = (e23))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e11) (e12)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H45d zenon_H44e zenon_H1b2 zenon_H1ca zenon_H257 zenon_H25d zenon_H374 zenon_H23d zenon_H266 zenon_H322 zenon_H329 zenon_H77 zenon_H32a zenon_H326 zenon_Ha2 zenon_H89 zenon_H31 zenon_H13 zenon_H10a zenon_H3a zenon_H57 zenon_H94 zenon_He3 zenon_H450 zenon_Hf6 zenon_H458 zenon_H334 zenon_H399 zenon_Haf zenon_H32b zenon_H45 zenon_H330 zenon_Hb4 zenon_H5e zenon_H4f zenon_H4c zenon_H5d zenon_H64 zenon_H63 zenon_H43 zenon_H44 zenon_H3f zenon_H46 zenon_H62 zenon_Hf2 zenon_H31a zenon_H31f zenon_H78 zenon_H6a zenon_H33 zenon_H34 zenon_H69 zenon_H346 zenon_H76 zenon_H75 zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H45e ]. % 33.17/33.36 apply (zenon_L358_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45e); [ zenon_intro zenon_H373 | zenon_intro zenon_H45f ]. % 33.17/33.36 apply (zenon_L203_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H1c1 ]. % 33.17/33.36 apply (zenon_L365_); trivial. % 33.17/33.36 apply (zenon_L91_); trivial. % 33.17/33.36 (* end of lemma zenon_L366_ *) % 33.17/33.36 assert (zenon_L367_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e23)) = (e23))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H45d zenon_H44e zenon_H1b2 zenon_H1ca zenon_H257 zenon_H25d zenon_H374 zenon_H23d zenon_H266 zenon_H399 zenon_H334 zenon_H458 zenon_Ha2 zenon_Hf6 zenon_H450 zenon_Hed zenon_He3 zenon_H94 zenon_H31 zenon_H13 zenon_H57 zenon_H89 zenon_H10a zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H45e ]. % 33.17/33.36 apply (zenon_L358_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45e); [ zenon_intro zenon_H373 | zenon_intro zenon_H45f ]. % 33.17/33.36 apply (zenon_L203_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H1c1 ]. % 33.17/33.36 apply (zenon_L363_); trivial. % 33.17/33.36 apply (zenon_L91_); trivial. % 33.17/33.36 (* end of lemma zenon_L367_ *) % 33.17/33.36 assert (zenon_L368_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H10a zenon_H89 zenon_H450 zenon_H13 zenon_Hed zenon_Hec zenon_H31 zenon_Ha2 zenon_H458 zenon_H2a8 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Haa | zenon_intro zenon_H10d ]. % 33.17/33.36 apply (zenon_L29_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 33.17/33.36 apply (zenon_L359_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H110 ]. % 33.17/33.36 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.36 apply (zenon_L362_); trivial. % 33.17/33.36 (* end of lemma zenon_L368_ *) % 33.17/33.36 assert (zenon_L369_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (e12))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (e12))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H330 zenon_Hb6 zenon_Hae zenon_H32b zenon_Hb2 zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_H2a8 zenon_H458 zenon_Ha2 zenon_H31 zenon_H13 zenon_H450 zenon_H89 zenon_H10a zenon_H41e zenon_H42b. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H331 ]. % 33.17/33.36 exact (zenon_Hb6 zenon_Hb3). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H332 ]. % 33.17/33.36 exact (zenon_Hb2 zenon_Hb0). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_Haa | zenon_intro zenon_Hec ]. % 33.17/33.36 exact (zenon_Hae zenon_Haa). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.36 exact (zenon_Hb2 zenon_Hb0). % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.36 apply (zenon_L368_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.36 exact (zenon_H41e zenon_H317). % 33.17/33.36 exact (zenon_H42b zenon_H327). % 33.17/33.36 (* end of lemma zenon_L369_ *) % 33.17/33.36 assert (zenon_L370_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e23)) = (e23))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e11) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op1 (e11) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H45d zenon_H44e zenon_H1b2 zenon_H1ca zenon_H257 zenon_H25d zenon_H374 zenon_H23d zenon_H266 zenon_H42b zenon_H41e zenon_H10a zenon_H89 zenon_H450 zenon_H13 zenon_H31 zenon_Ha2 zenon_H458 zenon_H334 zenon_H399 zenon_Hb2 zenon_H32b zenon_Hae zenon_Hb6 zenon_H330 zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H45e ]. % 33.17/33.36 apply (zenon_L358_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45e); [ zenon_intro zenon_H373 | zenon_intro zenon_H45f ]. % 33.17/33.36 apply (zenon_L203_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H1c1 ]. % 33.17/33.36 apply (zenon_L369_); trivial. % 33.17/33.36 apply (zenon_L91_); trivial. % 33.17/33.36 (* end of lemma zenon_L370_ *) % 33.17/33.36 assert (zenon_L371_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e23)) = (e23))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e12) (e13)) = (e12)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H45d zenon_H44e zenon_H1b2 zenon_H1ca zenon_H257 zenon_H25d zenon_H374 zenon_H23d zenon_H266 zenon_H399 zenon_H334 zenon_H110 zenon_H458 zenon_H1a9 zenon_H1bf zenon_H1c2. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H3a9 | zenon_intro zenon_H45e ]. % 33.17/33.36 apply (zenon_L358_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45e); [ zenon_intro zenon_H373 | zenon_intro zenon_H45f ]. % 33.17/33.36 apply (zenon_L203_); trivial. % 33.17/33.36 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H1c1 ]. % 33.17/33.36 apply (zenon_L362_); trivial. % 33.17/33.36 apply (zenon_L91_); trivial. % 33.17/33.36 (* end of lemma zenon_L371_ *) % 33.17/33.36 assert (zenon_L372_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> False). % 33.17/33.36 do 0 intro. intros zenon_H2a2 zenon_H29e zenon_H2ed zenon_H36a zenon_H262 zenon_H75 zenon_H76 zenon_H346 zenon_H69 zenon_H34 zenon_H33 zenon_H6a zenon_H78 zenon_H31f zenon_H31a zenon_Hf2 zenon_H62 zenon_H46 zenon_H3f zenon_H44 zenon_H43 zenon_H63 zenon_H64 zenon_H5d zenon_H4c zenon_H4f zenon_H5e zenon_Hb4 zenon_H330 zenon_H45 zenon_H32b zenon_Haf zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_H458 zenon_Hf6 zenon_H450 zenon_He3 zenon_H94 zenon_H57 zenon_H3a zenon_H10a zenon_H13 zenon_H31 zenon_H89 zenon_Ha2 zenon_H326 zenon_H32a zenon_H77 zenon_H329 zenon_H322. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L198_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L365_); trivial. % 33.17/33.37 (* end of lemma zenon_L372_ *) % 33.17/33.37 assert (zenon_L373_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2a2 zenon_H29e zenon_H2ed zenon_H36a zenon_H262 zenon_H10a zenon_H89 zenon_H57 zenon_H13 zenon_H31 zenon_H94 zenon_He3 zenon_Hed zenon_H450 zenon_Hf6 zenon_Ha2 zenon_H458 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L198_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L363_); trivial. % 33.17/33.37 (* end of lemma zenon_L373_ *) % 33.17/33.37 assert (zenon_L374_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (e12))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (e12))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2a2 zenon_H29e zenon_H2ed zenon_H36a zenon_H262 zenon_H330 zenon_Hb6 zenon_Hae zenon_H32b zenon_Hb2 zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_H458 zenon_Ha2 zenon_H31 zenon_H13 zenon_H450 zenon_H89 zenon_H10a zenon_H41e zenon_H42b. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L198_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L369_); trivial. % 33.17/33.37 (* end of lemma zenon_L374_ *) % 33.17/33.37 assert (zenon_L375_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2a2 zenon_H29e zenon_H2ed zenon_H36a zenon_H262 zenon_H458 zenon_H110 zenon_H334 zenon_H1a9 zenon_H399 zenon_H1bf. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L198_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L362_); trivial. % 33.17/33.37 (* end of lemma zenon_L375_ *) % 33.17/33.37 assert (zenon_L376_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H136 zenon_H81 zenon_Hb4 zenon_Hf2 zenon_H31f zenon_H322 zenon_H329 zenon_Hd2 zenon_H43 zenon_Hd8 zenon_Hd5 zenon_Hdd zenon_Hda zenon_Hdc zenon_H62 zenon_H75 zenon_H102 zenon_Hfe zenon_H69 zenon_Hce zenon_Hc6 zenon_H11f zenon_H3f zenon_H123 zenon_H5d zenon_H126 zenon_H128 zenon_H33 zenon_H31a zenon_H346 zenon_Hdf zenon_H3a zenon_H32b zenon_H89 zenon_H10a zenon_Haf zenon_He3 zenon_Hf6 zenon_H9d zenon_H330 zenon_H450 zenon_H15 zenon_H4f zenon_H31 zenon_H34 zenon_Hbf zenon_H326 zenon_H3d3 zenon_H2a2 zenon_H334 zenon_H399 zenon_H458 zenon_H262 zenon_H2ed zenon_H36a zenon_H1bf zenon_H1a9 zenon_H29e zenon_H3db zenon_H3c8 zenon_H353 zenon_H94 zenon_H4c zenon_Ha3 zenon_H8e zenon_Ha2 zenon_Ha4 zenon_Hf9 zenon_H6a zenon_H349 zenon_H34c zenon_H76 zenon_H12e zenon_H5e zenon_H57 zenon_He0 zenon_H3de zenon_H13. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.37 apply (zenon_L372_); trivial. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_L21_); trivial. % 33.17/33.37 apply (zenon_L28_); trivial. % 33.17/33.37 apply (zenon_L29_); trivial. % 33.17/33.37 apply (zenon_L30_); trivial. % 33.17/33.37 apply (zenon_L7_); trivial. % 33.17/33.37 apply (zenon_L31_); trivial. % 33.17/33.37 apply (zenon_L2_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.37 apply (zenon_L54_); trivial. % 33.17/33.37 apply (zenon_L373_); trivial. % 33.17/33.37 apply (zenon_L60_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.37 apply (zenon_L171_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.37 apply (zenon_L291_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.37 apply (zenon_L374_); trivial. % 33.17/33.37 apply (zenon_L78_); trivial. % 33.17/33.37 apply (zenon_L302_); trivial. % 33.17/33.37 apply (zenon_L157_); trivial. % 33.17/33.37 apply (zenon_L275_); trivial. % 33.17/33.37 apply (zenon_L172_); trivial. % 33.17/33.37 apply (zenon_L173_); trivial. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.37 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.37 apply (zenon_L257_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.37 apply (zenon_L259_); trivial. % 33.17/33.37 apply (zenon_L375_); trivial. % 33.17/33.37 apply (zenon_L33_); trivial. % 33.17/33.37 apply (zenon_L263_); trivial. % 33.17/33.37 apply (zenon_L182_); trivial. % 33.17/33.37 apply (zenon_L80_); trivial. % 33.17/33.37 apply (zenon_L264_); trivial. % 33.17/33.37 (* end of lemma zenon_L376_ *) % 33.17/33.37 assert (zenon_L377_ : (((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))))))))))) -> (~((e11) = (e13))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((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 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H138 zenon_H15 zenon_H2a2 zenon_H76 zenon_H346 zenon_Hf6 zenon_H94 zenon_He3 zenon_H450 zenon_H458 zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_Haf zenon_H31 zenon_H89 zenon_H329 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hf2 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H330 zenon_H13 zenon_Hb4 zenon_H75 zenon_H262 zenon_H2a3 zenon_H2a1 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_Ha4. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 exact (zenon_H2a1 zenon_H29f). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L365_); trivial. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_L21_); trivial. % 33.17/33.37 apply (zenon_L28_); trivial. % 33.17/33.37 apply (zenon_L29_); trivial. % 33.17/33.37 apply (zenon_L30_); trivial. % 33.17/33.37 apply (zenon_L7_); trivial. % 33.17/33.37 apply (zenon_L31_); trivial. % 33.17/33.37 apply (zenon_L2_); trivial. % 33.17/33.37 (* end of lemma zenon_L377_ *) % 33.17/33.37 assert (zenon_L378_ : (((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13)))))))))))))))))) -> (~((e11) = (e13))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H170 zenon_H15 zenon_H2a2 zenon_H450 zenon_H458 zenon_H1bf zenon_H399 zenon_H1a9 zenon_H334 zenon_H330 zenon_H262 zenon_H2a3 zenon_H2a1 zenon_H9d zenon_Hf6 zenon_H57 zenon_He3 zenon_H94 zenon_H34 zenon_H8e zenon_Haf zenon_H31 zenon_H10a zenon_H326 zenon_Ha2 zenon_H89 zenon_H32b zenon_H3a zenon_Hdf zenon_H346 zenon_H31a zenon_H13 zenon_H33 zenon_H6a zenon_H128 zenon_H4c zenon_H126 zenon_H5e zenon_H5d zenon_H123 zenon_H4f zenon_H3f zenon_H11f zenon_Hc6 zenon_Hbf zenon_Hce zenon_H69. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.37 apply (zenon_L171_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.37 apply (zenon_L291_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 exact (zenon_H2a1 zenon_H29f). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L369_); trivial. % 33.17/33.37 apply (zenon_L78_); trivial. % 33.17/33.37 apply (zenon_L302_); trivial. % 33.17/33.37 apply (zenon_L157_); trivial. % 33.17/33.37 apply (zenon_L275_); trivial. % 33.17/33.37 apply (zenon_L172_); trivial. % 33.17/33.37 apply (zenon_L173_); trivial. % 33.17/33.37 (* end of lemma zenon_L378_ *) % 33.17/33.37 assert (zenon_L379_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H266 zenon_H23d zenon_H24a zenon_H2bb zenon_H2a3 zenon_H1b zenon_H1a9 zenon_H1ac zenon_H253 zenon_H255 zenon_H2bf zenon_H25d zenon_H257 zenon_H1bf zenon_H1ca. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23c | zenon_intro zenon_H267 ]. % 33.17/33.37 apply (zenon_L105_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H243 | zenon_intro zenon_H268 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H254 | zenon_intro zenon_H2c0 ]. % 33.17/33.37 apply (zenon_L109_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H2c1 ]. % 33.17/33.37 apply (zenon_L87_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2bc ]. % 33.17/33.37 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.37 apply (zenon_L132_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H1ce ]. % 33.17/33.37 apply (zenon_L111_); trivial. % 33.17/33.37 exact (zenon_H1ca zenon_H1ce). % 33.17/33.37 (* end of lemma zenon_L379_ *) % 33.17/33.37 assert (zenon_L380_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2e1 zenon_H230 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H255 zenon_H253 zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H2e5. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.37 apply (zenon_L128_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.17/33.37 apply (zenon_L97_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.17/33.37 apply (zenon_L379_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.17/33.37 apply (zenon_L114_); trivial. % 33.17/33.37 exact (zenon_H1ca zenon_H1ce). % 33.17/33.37 apply (zenon_L103_); trivial. % 33.17/33.37 (* end of lemma zenon_L380_ *) % 33.17/33.37 assert (zenon_L381_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((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 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21))) -> ((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2ee zenon_H136 zenon_H3d3 zenon_H3db zenon_H3c8 zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H370 zenon_H36a zenon_H2d1 zenon_H15 zenon_H76 zenon_H346 zenon_Hf6 zenon_H94 zenon_He3 zenon_H450 zenon_H458 zenon_H399 zenon_H334 zenon_Haf zenon_H31 zenon_H89 zenon_H329 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hf2 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H330 zenon_H13 zenon_Hb4 zenon_H75 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_Ha4 zenon_H238 zenon_H1d0 zenon_H388 zenon_H38b zenon_H3fe zenon_H2e5 zenon_H2b5 zenon_H2b1 zenon_H2aa zenon_H1c2 zenon_H2b7 zenon_H2e3 zenon_H270 zenon_H26a zenon_H23d zenon_H2bf zenon_H2bb zenon_H1b zenon_H1ac zenon_H28b zenon_H25d zenon_H1ca zenon_H266 zenon_H1e5 zenon_H27e zenon_H1f4 zenon_H27a zenon_H278 zenon_H274 zenon_H2e9 zenon_H24d zenon_H1fb zenon_H261 zenon_H230 zenon_H253 zenon_H2db zenon_H2e4 zenon_H2e2 zenon_H29e zenon_H1a9 zenon_H1bf zenon_H262 zenon_H2a2 zenon_H2e1. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.17/33.37 apply (zenon_L151_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H3fe); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H255 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H2af | zenon_intro zenon_H386 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.37 apply (zenon_L377_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.37 apply (zenon_L54_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.37 exact (zenon_H2d1 zenon_H2d4). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.37 apply (zenon_L373_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.37 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.37 exact (zenon_H2af zenon_H2a9). % 33.17/33.37 apply (zenon_L60_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.37 apply (zenon_L378_); trivial. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.37 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.37 apply (zenon_L257_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.37 apply (zenon_L259_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.37 exact (zenon_H2d1 zenon_H2d4). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.37 apply (zenon_L375_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.37 exact (zenon_H2a3 zenon_H2a7). % 33.17/33.37 exact (zenon_H2af zenon_H2a9). % 33.17/33.37 apply (zenon_L33_); trivial. % 33.17/33.37 apply (zenon_L263_); trivial. % 33.17/33.37 apply (zenon_L182_); trivial. % 33.17/33.37 apply (zenon_L80_); trivial. % 33.17/33.37 apply (zenon_L264_); trivial. % 33.17/33.37 apply (zenon_L214_); trivial. % 33.17/33.37 apply (zenon_L103_); trivial. % 33.17/33.37 apply (zenon_L380_); trivial. % 33.17/33.37 (* end of lemma zenon_L381_ *) % 33.17/33.37 assert (zenon_L382_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e12) (e13)) = (e12)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H399 zenon_H334 zenon_H110 zenon_H458 zenon_H262 zenon_H29e zenon_H2a2 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H27e zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.37 apply (zenon_L191_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.37 apply (zenon_L375_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.37 apply (zenon_L218_); trivial. % 33.17/33.37 apply (zenon_L129_); trivial. % 33.17/33.37 (* end of lemma zenon_L382_ *) % 33.17/33.37 assert (zenon_L383_ : ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e11) = (e13))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((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 (e10) (e10)) = (e10))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H307 zenon_H1d0 zenon_H30f zenon_H136 zenon_H3d3 zenon_H3db zenon_H3c8 zenon_H353 zenon_H349 zenon_H34c zenon_H12e zenon_H3de zenon_H128 zenon_H126 zenon_H123 zenon_H11f zenon_Hf9 zenon_Hfe zenon_H102 zenon_Hdc zenon_Hda zenon_Hdd zenon_Hdf zenon_He0 zenon_Hd5 zenon_Hd8 zenon_Hd2 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H370 zenon_H2aa zenon_H363 zenon_H1d7 zenon_H1fc zenon_H15 zenon_H2e3 zenon_H2b1 zenon_H391 zenon_H393 zenon_H2bf zenon_H1b zenon_H1ac zenon_H278 zenon_H27a zenon_H1f9 zenon_H27e zenon_H29e zenon_H2e9 zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H262 zenon_H75 zenon_Hb4 zenon_H13 zenon_H330 zenon_H69 zenon_H43 zenon_H5d zenon_H5e zenon_H57 zenon_H4f zenon_H4c zenon_Hf2 zenon_H62 zenon_H3f zenon_H3a zenon_H31a zenon_H31f zenon_H10a zenon_H326 zenon_Ha2 zenon_H322 zenon_H32b zenon_H6a zenon_H34 zenon_H33 zenon_H329 zenon_H89 zenon_H31 zenon_Haf zenon_H334 zenon_H399 zenon_H458 zenon_H450 zenon_He3 zenon_H94 zenon_Hf6 zenon_H346 zenon_H76 zenon_H2a2 zenon_H2e4 zenon_H81 zenon_H8e zenon_Ha3 zenon_H9d zenon_Ha4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H2f1 zenon_H1b2 zenon_H30d. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.17/33.37 apply (zenon_L153_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.37 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L217_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L365_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.37 apply (zenon_L223_); trivial. % 33.17/33.37 apply (zenon_L225_); trivial. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_L21_); trivial. % 33.17/33.37 apply (zenon_L28_); trivial. % 33.17/33.37 apply (zenon_L29_); trivial. % 33.17/33.37 apply (zenon_L30_); trivial. % 33.17/33.37 apply (zenon_L7_); trivial. % 33.17/33.37 apply (zenon_L31_); trivial. % 33.17/33.37 apply (zenon_L2_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.17/33.37 apply (zenon_L54_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.37 apply (zenon_L282_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.37 apply (zenon_L373_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.37 apply (zenon_L218_); trivial. % 33.17/33.37 apply (zenon_L129_); trivial. % 33.17/33.37 apply (zenon_L60_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.37 apply (zenon_L171_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.37 apply (zenon_L291_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.37 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a5 ]. % 33.17/33.37 apply (zenon_L127_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 33.17/33.37 apply (zenon_L217_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H265 | zenon_intro zenon_H2a8 ]. % 33.17/33.37 exact (zenon_H262 zenon_H265). % 33.17/33.37 apply (zenon_L369_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.37 apply (zenon_L223_); trivial. % 33.17/33.37 apply (zenon_L225_); trivial. % 33.17/33.37 apply (zenon_L78_); trivial. % 33.17/33.37 apply (zenon_L302_); trivial. % 33.17/33.37 apply (zenon_L157_); trivial. % 33.17/33.37 apply (zenon_L275_); trivial. % 33.17/33.37 apply (zenon_L172_); trivial. % 33.17/33.37 apply (zenon_L173_); trivial. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.37 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.17/33.37 apply (zenon_L257_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.17/33.37 apply (zenon_L259_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.37 apply (zenon_L382_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.37 exact (zenon_H1fb zenon_H21d). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.37 apply (zenon_L87_); trivial. % 33.17/33.37 apply (zenon_L94_); trivial. % 33.17/33.37 apply (zenon_L33_); trivial. % 33.17/33.37 apply (zenon_L263_); trivial. % 33.17/33.37 apply (zenon_L182_); trivial. % 33.17/33.37 apply (zenon_L80_); trivial. % 33.17/33.37 apply (zenon_L264_); trivial. % 33.17/33.37 apply (zenon_L91_); trivial. % 33.17/33.37 apply (zenon_L154_); trivial. % 33.17/33.37 apply (zenon_L93_); trivial. % 33.17/33.37 (* end of lemma zenon_L383_ *) % 33.17/33.37 assert (zenon_L384_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((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 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e11) = (e13))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H2f3 zenon_H1b9 zenon_H2f1 zenon_H1a9 zenon_H1c2 zenon_H1ca zenon_H270 zenon_Ha4 zenon_H9d zenon_Ha3 zenon_H8e zenon_H81 zenon_H2e4 zenon_H2a2 zenon_H76 zenon_H346 zenon_Hf6 zenon_H94 zenon_He3 zenon_H450 zenon_H458 zenon_H399 zenon_H334 zenon_Haf zenon_H31 zenon_H89 zenon_H329 zenon_H33 zenon_H34 zenon_H6a zenon_H32b zenon_H322 zenon_Ha2 zenon_H326 zenon_H10a zenon_H31f zenon_H31a zenon_H3a zenon_H3f zenon_H62 zenon_Hf2 zenon_H4c zenon_H4f zenon_H57 zenon_H5e zenon_H5d zenon_H43 zenon_H69 zenon_H330 zenon_H13 zenon_Hb4 zenon_H75 zenon_H262 zenon_H274 zenon_H1fb zenon_H36a zenon_H2e9 zenon_H29e zenon_H27e zenon_H27a zenon_H278 zenon_H1ac zenon_H1b zenon_H2bf zenon_H393 zenon_H391 zenon_H2b1 zenon_H2e3 zenon_H15 zenon_H1fc zenon_H1d7 zenon_H363 zenon_H2aa zenon_H370 zenon_Hc6 zenon_Hbf zenon_Hce zenon_Hd2 zenon_Hd8 zenon_Hd5 zenon_He0 zenon_Hdf zenon_Hdd zenon_Hda zenon_Hdc zenon_H102 zenon_Hfe zenon_Hf9 zenon_H11f zenon_H123 zenon_H126 zenon_H128 zenon_H3de zenon_H12e zenon_H34c zenon_H349 zenon_H353 zenon_H3c8 zenon_H3db zenon_H3d3 zenon_H136 zenon_H1d0 zenon_H396 zenon_H1bf. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.17/33.37 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.17/33.37 apply (zenon_L383_); trivial. % 33.17/33.37 apply (zenon_L233_); trivial. % 33.17/33.37 apply (zenon_L234_); trivial. % 33.17/33.37 (* end of lemma zenon_L384_ *) % 33.17/33.37 assert (zenon_L385_ : (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e13) (e10)) = (e12)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H460 zenon_H334 zenon_Hec zenon_H21 zenon_H399. % 33.17/33.37 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H460. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H334. % 33.17/33.37 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H461]. % 33.17/33.37 cut (((h1 (e12)) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H462]. % 33.17/33.37 congruence. % 33.17/33.37 elim (classic ((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [ zenon_intro zenon_H463 | zenon_intro zenon_H464 ]. % 33.17/33.37 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10)))) = ((h1 (e12)) = (h1 (op1 (e13) (e10))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H462. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H463. % 33.17/33.37 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H464]. % 33.17/33.37 cut (((h1 (op1 (e13) (e10))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H465]. % 33.17/33.37 congruence. % 33.17/33.37 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 33.17/33.37 congruence. % 33.17/33.37 exact (zenon_H112 zenon_Hec). % 33.17/33.37 apply zenon_H464. apply refl_equal. % 33.17/33.37 apply zenon_H464. apply refl_equal. % 33.17/33.37 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 33.17/33.37 cut (((op2 (e20) (e20)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H467]. % 33.17/33.37 congruence. % 33.17/33.37 apply zenon_H467. apply sym_equal. exact zenon_H399. % 33.17/33.37 apply zenon_H466. apply sym_equal. exact zenon_H21. % 33.17/33.37 (* end of lemma zenon_L385_ *) % 33.17/33.37 assert (zenon_L386_ : ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e13)) -> ((e23) = (op2 (e20) (e20))) -> (~((e23) = (h1 (op1 (e13) (e11))))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H399 zenon_H132 zenon_H1bf zenon_H468. % 33.17/33.37 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ]. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((e23) = (h1 (op1 (e13) (e11))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H468. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H469. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H46b]. % 33.17/33.37 congruence. % 33.17/33.37 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e13) (e11))) = (e23))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H46b. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H399. % 33.17/33.37 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 33.17/33.37 cut (((h1 (e13)) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H46c]. % 33.17/33.37 congruence. % 33.17/33.37 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H469 | zenon_intro zenon_H46a ]. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((h1 (e13)) = (h1 (op1 (e13) (e11))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H46c. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H469. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H46a]. % 33.17/33.37 cut (((h1 (op1 (e13) (e11))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H46d]. % 33.17/33.37 congruence. % 33.17/33.37 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 33.17/33.37 congruence. % 33.17/33.37 exact (zenon_H12d zenon_H132). % 33.17/33.37 apply zenon_H46a. apply refl_equal. % 33.17/33.37 apply zenon_H46a. apply refl_equal. % 33.17/33.37 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.37 apply zenon_H46a. apply refl_equal. % 33.17/33.37 apply zenon_H46a. apply refl_equal. % 33.17/33.37 (* end of lemma zenon_L386_ *) % 33.17/33.37 assert (zenon_L387_ : ((op2 (e23) (e21)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e13)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H24a zenon_H1a zenon_H1b zenon_H399 zenon_H1bf zenon_H132 zenon_H46e. % 33.17/33.37 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H46f | zenon_intro zenon_H470 ]. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H46e. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H46f. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H471]. % 33.17/33.37 congruence. % 33.17/33.37 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H471. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H24a. % 33.17/33.37 cut (((e23) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H468]. % 33.17/33.37 cut (((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H472]. % 33.17/33.37 congruence. % 33.17/33.37 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H46f | zenon_intro zenon_H470 ]. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))). % 33.17/33.37 intro zenon_D_pnotp. % 33.17/33.37 apply zenon_H472. % 33.17/33.37 rewrite <- zenon_D_pnotp. % 33.17/33.37 exact zenon_H46f. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H470]. % 33.17/33.37 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H473]. % 33.17/33.37 congruence. % 33.17/33.37 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 33.17/33.37 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.17/33.37 congruence. % 33.17/33.37 apply (zenon_L235_); trivial. % 33.17/33.37 apply (zenon_L3_); trivial. % 33.17/33.37 apply zenon_H470. apply refl_equal. % 33.17/33.37 apply zenon_H470. apply refl_equal. % 33.17/33.37 apply (zenon_L386_); trivial. % 33.17/33.37 apply zenon_H470. apply refl_equal. % 33.17/33.37 apply zenon_H470. apply refl_equal. % 33.17/33.37 (* end of lemma zenon_L387_ *) % 33.17/33.37 assert (zenon_L388_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H12e zenon_H81 zenon_H13 zenon_H46e zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H24a zenon_H9d zenon_Ha2 zenon_H34 zenon_H31 zenon_H8e zenon_H41 zenon_Ha4 zenon_H5e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H80 | zenon_intro zenon_H130 ]. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 33.17/33.37 apply (zenon_L387_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9f | zenon_intro zenon_H61 ]. % 33.17/33.37 apply (zenon_L77_); trivial. % 33.17/33.37 exact (zenon_H5e zenon_H61). % 33.17/33.37 (* end of lemma zenon_L388_ *) % 33.17/33.37 assert (zenon_L389_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (e10))) -> (~((op1 (e13) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e21)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e10))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H43 zenon_H44 zenon_H45 zenon_H5e zenon_Ha4 zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d zenon_H24a zenon_H1a zenon_H1b zenon_H399 zenon_H1bf zenon_H46e zenon_H13 zenon_H81 zenon_H12e zenon_H46. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.37 exact (zenon_H44 zenon_H48). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.37 exact (zenon_H45 zenon_H4a). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.37 apply (zenon_L388_); trivial. % 33.17/33.37 exact (zenon_H46 zenon_H4b). % 33.17/33.37 (* end of lemma zenon_L389_ *) % 33.17/33.37 assert (zenon_L390_ : (((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H138 zenon_H89 zenon_H43 zenon_H81 zenon_H13 zenon_H46e zenon_H24a zenon_H399 zenon_H1bf zenon_H1a zenon_H1b zenon_Ha4 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_H9d zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_H57 zenon_H5d zenon_H94. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.37 apply (zenon_L389_); trivial. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_L21_); trivial. % 33.17/33.37 apply (zenon_L28_); trivial. % 33.17/33.37 apply (zenon_L29_); trivial. % 33.17/33.37 (* end of lemma zenon_L390_ *) % 33.17/33.37 assert (zenon_L391_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 33.17/33.37 do 0 intro. intros zenon_Ha4 zenon_H67 zenon_Hda zenon_H8e zenon_H31 zenon_H34 zenon_Ha2 zenon_H9d zenon_H9f. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.17/33.37 apply (zenon_L45_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.17/33.37 apply (zenon_L22_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.17/33.37 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.37 apply (zenon_L27_); trivial. % 33.17/33.37 (* end of lemma zenon_L391_ *) % 33.17/33.37 assert (zenon_L392_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H12e zenon_H81 zenon_H13 zenon_H46e zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H24a zenon_H9d zenon_Ha2 zenon_H34 zenon_H31 zenon_H8e zenon_Hda zenon_H67 zenon_Ha4 zenon_H5e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H80 | zenon_intro zenon_H130 ]. % 33.17/33.37 apply (zenon_L20_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 33.17/33.37 apply (zenon_L387_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9f | zenon_intro zenon_H61 ]. % 33.17/33.37 apply (zenon_L391_); trivial. % 33.17/33.37 exact (zenon_H5e zenon_H61). % 33.17/33.37 (* end of lemma zenon_L392_ *) % 33.17/33.37 assert (zenon_L393_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H62 zenon_Hd5 zenon_H94 zenon_Hd7 zenon_H4c zenon_Ha3 zenon_H3f zenon_Hd8 zenon_H43 zenon_Hda zenon_Hd3 zenon_Hdc zenon_H12e zenon_H81 zenon_H13 zenon_H46e zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H24a zenon_H9d zenon_Ha2 zenon_H34 zenon_H31 zenon_H8e zenon_Ha4 zenon_H5e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.17/33.37 apply (zenon_L44_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.17/33.37 apply (zenon_L392_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.17/33.37 apply (zenon_L48_); trivial. % 33.17/33.37 apply (zenon_L388_); trivial. % 33.17/33.37 (* end of lemma zenon_L393_ *) % 33.17/33.37 assert (zenon_L394_ : (((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))))))))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H157 zenon_H62 zenon_Hdc zenon_H81 zenon_H46e zenon_H24a zenon_H399 zenon_H1bf zenon_H1a zenon_H1b zenon_Hda zenon_H5e zenon_H12e zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H13 zenon_H94 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_He3 zenon_Hce zenon_Hbf zenon_H31 zenon_H34 zenon_H8e zenon_Hc6. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.37 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.37 apply (zenon_L35_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.17/33.37 apply (zenon_L393_); trivial. % 33.17/33.37 apply (zenon_L53_); trivial. % 33.17/33.37 (* end of lemma zenon_L394_ *) % 33.17/33.37 assert (zenon_L395_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (e12))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (e12))) -> False). % 33.17/33.37 do 0 intro. intros zenon_H32b zenon_Hb2 zenon_H46e zenon_H1bf zenon_H399 zenon_H1b zenon_H1a zenon_H24a zenon_H9e zenon_Hdc zenon_Hb4 zenon_H13 zenon_Hb8 zenon_H474 zenon_H41e zenon_H42b. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H32e ]. % 33.17/33.37 exact (zenon_Hb2 zenon_Hb0). % 33.17/33.37 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hed | zenon_intro zenon_H32f ]. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H475 ]. % 33.17/33.37 apply (zenon_L32_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H350 | zenon_intro zenon_H476 ]. % 33.17/33.37 apply (zenon_L289_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H113 | zenon_intro zenon_H132 ]. % 33.17/33.37 apply (zenon_L66_); trivial. % 33.17/33.37 apply (zenon_L387_); trivial. % 33.17/33.37 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H317 | zenon_intro zenon_H327 ]. % 33.17/33.37 exact (zenon_H41e zenon_H317). % 33.17/33.37 exact (zenon_H42b zenon_H327). % 33.17/33.37 (* end of lemma zenon_L395_ *) % 33.17/33.37 assert (zenon_L396_ : (((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13)))))))))))))))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H170 zenon_H15 zenon_Hb8 zenon_Hb4 zenon_Hdc zenon_H46e zenon_H24a zenon_H399 zenon_H1bf zenon_H1a zenon_H1b zenon_H474 zenon_H9d zenon_Hf6 zenon_H57 zenon_He3 zenon_H94 zenon_H34 zenon_H8e zenon_Haf zenon_H31 zenon_H10a zenon_H326 zenon_Ha2 zenon_H89 zenon_H32b zenon_H3a zenon_H12e zenon_H5e zenon_Hda zenon_Ha4 zenon_H81 zenon_H346 zenon_H31a zenon_H13 zenon_H33 zenon_H6a zenon_H128 zenon_H4c zenon_H126 zenon_H5d zenon_H123 zenon_H4f zenon_H3f zenon_H11f zenon_Hc6 zenon_Hbf zenon_Hce zenon_H69. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.38 apply (zenon_L171_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.38 apply (zenon_L291_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.38 apply (zenon_L64_); trivial. % 33.17/33.38 apply (zenon_L395_); trivial. % 33.17/33.38 apply (zenon_L22_); trivial. % 33.17/33.38 apply (zenon_L78_); trivial. % 33.17/33.38 apply (zenon_L302_); trivial. % 33.17/33.38 apply (zenon_L157_); trivial. % 33.17/33.38 apply (zenon_L392_); trivial. % 33.17/33.38 apply (zenon_L172_); trivial. % 33.17/33.38 apply (zenon_L173_); trivial. % 33.17/33.38 (* end of lemma zenon_L396_ *) % 33.17/33.38 assert (zenon_L397_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (e13))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e12) (e11)) = (e13))) -> ((op2 (e23) (e21)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H474 zenon_Hbd zenon_H34d zenon_H3d2 zenon_H24a zenon_H1a zenon_H1b zenon_H399 zenon_H1bf zenon_H46e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H475 ]. % 33.17/33.38 exact (zenon_Hbd zenon_Hb7). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H350 | zenon_intro zenon_H476 ]. % 33.17/33.38 exact (zenon_H34d zenon_H350). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H113 | zenon_intro zenon_H132 ]. % 33.17/33.38 exact (zenon_H3d2 zenon_H113). % 33.17/33.38 apply (zenon_L387_); trivial. % 33.17/33.38 (* end of lemma zenon_L397_ *) % 33.17/33.38 assert (zenon_L398_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((e10) = (e11))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H136 zenon_H43 zenon_Hd8 zenon_Hd5 zenon_Ha3 zenon_H62 zenon_H69 zenon_Hce zenon_Hc6 zenon_H11f zenon_H3f zenon_H123 zenon_H5d zenon_H126 zenon_H4c zenon_H128 zenon_H6a zenon_H33 zenon_H31a zenon_H346 zenon_H81 zenon_Ha4 zenon_Hda zenon_H3a zenon_H32b zenon_H89 zenon_Ha2 zenon_H326 zenon_H10a zenon_Haf zenon_H8e zenon_H94 zenon_He3 zenon_Hf6 zenon_H9d zenon_Hdc zenon_Hb4 zenon_Hb8 zenon_H15 zenon_H4f zenon_H12e zenon_H5e zenon_H57 zenon_He0 zenon_H474 zenon_H1b zenon_H1a zenon_H1bf zenon_H399 zenon_H24a zenon_H46e zenon_Hbf zenon_H34 zenon_H31 zenon_H70 zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.38 apply (zenon_L390_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.38 apply (zenon_L394_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.38 apply (zenon_L396_); trivial. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.38 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H6f ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.38 apply (zenon_L397_); trivial. % 33.17/33.38 apply (zenon_L33_); trivial. % 33.17/33.38 apply (zenon_L80_); trivial. % 33.17/33.38 apply (zenon_L18_); trivial. % 33.17/33.38 (* end of lemma zenon_L398_ *) % 33.17/33.38 assert (zenon_L399_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H28e zenon_H282 zenon_H1bf zenon_H1e5 zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H24d zenon_H23d zenon_H26a zenon_H270 zenon_H2bb zenon_H136 zenon_He0 zenon_H70 zenon_H15 zenon_Hb8 zenon_Hb4 zenon_H474 zenon_Hf6 zenon_Haf zenon_H10a zenon_H326 zenon_H32b zenon_H3a zenon_H346 zenon_H31a zenon_H33 zenon_H6a zenon_H128 zenon_H126 zenon_H123 zenon_H4f zenon_H11f zenon_H69 zenon_H62 zenon_Hdc zenon_Hda zenon_Hd5 zenon_Hd8 zenon_H3f zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H89 zenon_H43 zenon_H81 zenon_H13 zenon_H46e zenon_H399 zenon_H1a zenon_Ha4 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_H9d zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_H57 zenon_H5d zenon_H94 zenon_H36c zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.17/33.38 apply (zenon_L104_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 apply (zenon_L122_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 apply (zenon_L117_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 apply (zenon_L299_); trivial. % 33.17/33.38 apply (zenon_L398_); trivial. % 33.17/33.38 (* end of lemma zenon_L399_ *) % 33.17/33.38 assert (zenon_L400_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H243 zenon_H24e zenon_H24d zenon_H26a zenon_H1bf zenon_H262 zenon_H1b zenon_H1a9 zenon_H230 zenon_H253 zenon_H254 zenon_H261 zenon_H1ca. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.17/33.38 apply (zenon_L97_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.17/33.38 apply (zenon_L108_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.17/33.38 apply (zenon_L115_); trivial. % 33.17/33.38 exact (zenon_H1ca zenon_H1ce). % 33.17/33.38 (* end of lemma zenon_L400_ *) % 33.17/33.38 assert (zenon_L401_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H270 zenon_H1e5 zenon_H243 zenon_H2bc zenon_H2bb zenon_H26a zenon_H257 zenon_H1bf zenon_H1ca. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.17/33.38 apply (zenon_L97_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.17/33.38 apply (zenon_L132_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.17/33.38 apply (zenon_L114_); trivial. % 33.17/33.38 exact (zenon_H1ca zenon_H1ce). % 33.17/33.38 (* end of lemma zenon_L401_ *) % 33.17/33.38 assert (zenon_L402_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H3f0 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H94 zenon_H5d zenon_H57 zenon_H4c zenon_Ha3 zenon_H2e4 zenon_H2db zenon_H1f4 zenon_H24d zenon_H261 zenon_H230 zenon_H253 zenon_H2c2 zenon_H36c zenon_H12e zenon_H5e zenon_H9d zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha4 zenon_H1a zenon_H399 zenon_H46e zenon_H13 zenon_H81 zenon_H43 zenon_H282 zenon_H2d5 zenon_H274 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H1b zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H278 zenon_H27a zenon_H27e zenon_H2e3 zenon_H89 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H3f zenon_Hd8 zenon_Hd5 zenon_Hda zenon_Hdc zenon_H62 zenon_Hf6 zenon_H70 zenon_H474 zenon_He0 zenon_H4f zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.17/33.38 apply (zenon_L128_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.17/33.38 apply (zenon_L131_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.38 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.38 apply (zenon_L135_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.38 apply (zenon_L118_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.38 apply (zenon_L99_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.38 apply (zenon_L116_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.38 apply (zenon_L312_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 apply (zenon_L122_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 apply (zenon_L400_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 apply (zenon_L401_); trivial. % 33.17/33.38 apply (zenon_L389_); trivial. % 33.17/33.38 apply (zenon_L145_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.38 apply (zenon_L147_); trivial. % 33.17/33.38 apply (zenon_L148_); trivial. % 33.17/33.38 apply (zenon_L20_); trivial. % 33.17/33.38 apply (zenon_L21_); trivial. % 33.17/33.38 apply (zenon_L28_); trivial. % 33.17/33.38 apply (zenon_L29_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.38 apply (zenon_L35_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.38 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.38 apply (zenon_L135_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.38 apply (zenon_L118_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.38 apply (zenon_L99_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.38 apply (zenon_L116_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.38 apply (zenon_L136_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 apply (zenon_L122_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 apply (zenon_L400_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 apply (zenon_L401_); trivial. % 33.17/33.38 apply (zenon_L393_); trivial. % 33.17/33.38 apply (zenon_L145_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.38 apply (zenon_L147_); trivial. % 33.17/33.38 apply (zenon_L148_); trivial. % 33.17/33.38 apply (zenon_L53_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.38 apply (zenon_L65_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.38 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.38 apply (zenon_L135_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.38 apply (zenon_L118_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.38 apply (zenon_L99_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.38 apply (zenon_L116_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.38 apply (zenon_L312_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 apply (zenon_L122_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 apply (zenon_L400_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 apply (zenon_L401_); trivial. % 33.17/33.38 apply (zenon_L388_); trivial. % 33.17/33.38 apply (zenon_L145_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.38 apply (zenon_L147_); trivial. % 33.17/33.38 apply (zenon_L148_); trivial. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.38 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H6f ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.38 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.17/33.38 apply (zenon_L135_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.17/33.38 apply (zenon_L118_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2d6 ]. % 33.17/33.38 apply (zenon_L99_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H24e | zenon_intro zenon_H2d7 ]. % 33.17/33.38 apply (zenon_L116_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H243 ]. % 33.17/33.38 apply (zenon_L136_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 apply (zenon_L122_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 apply (zenon_L116_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 apply (zenon_L401_); trivial. % 33.17/33.38 apply (zenon_L397_); trivial. % 33.17/33.38 apply (zenon_L145_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.38 apply (zenon_L147_); trivial. % 33.17/33.38 apply (zenon_L148_); trivial. % 33.17/33.38 apply (zenon_L33_); trivial. % 33.17/33.38 apply (zenon_L80_); trivial. % 33.17/33.38 apply (zenon_L18_); trivial. % 33.17/33.38 apply (zenon_L103_); trivial. % 33.17/33.38 (* end of lemma zenon_L402_ *) % 33.17/33.38 assert (zenon_L403_ : ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H307 zenon_H1a9 zenon_H1d0 zenon_H94 zenon_H5d zenon_H57 zenon_H4c zenon_Ha3 zenon_H287 zenon_H252 zenon_H43 zenon_H81 zenon_H13 zenon_H46e zenon_H399 zenon_H1bf zenon_H1a zenon_H1b zenon_Ha4 zenon_Ha2 zenon_H31 zenon_H34 zenon_H8e zenon_H9d zenon_H5e zenon_H12e zenon_H36c zenon_H89 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H62 zenon_Hdc zenon_Hda zenon_Hd5 zenon_Hd8 zenon_H3f zenon_H69 zenon_H11f zenon_H4f zenon_H123 zenon_H126 zenon_H128 zenon_H6a zenon_H33 zenon_H31a zenon_H346 zenon_Hdf zenon_H3a zenon_H32b zenon_H326 zenon_H10a zenon_Haf zenon_Hf6 zenon_Hb8 zenon_Hb4 zenon_H474 zenon_H15 zenon_H70 zenon_He0 zenon_H136. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 exact (zenon_H287 zenon_H281). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 exact (zenon_H252 zenon_H24e). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 exact (zenon_H2be zenon_H2bc). % 33.17/33.38 apply (zenon_L389_); trivial. % 33.17/33.38 apply (zenon_L20_); trivial. % 33.17/33.38 apply (zenon_L21_); trivial. % 33.17/33.38 apply (zenon_L28_); trivial. % 33.17/33.38 apply (zenon_L29_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.38 apply (zenon_L35_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 exact (zenon_H287 zenon_H281). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 exact (zenon_H252 zenon_H24e). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 exact (zenon_H2be zenon_H2bc). % 33.17/33.38 apply (zenon_L393_); trivial. % 33.17/33.38 apply (zenon_L53_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.17/33.38 apply (zenon_L171_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.17/33.38 apply (zenon_L291_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.17/33.38 apply (zenon_L64_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 exact (zenon_H287 zenon_H281). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 exact (zenon_H252 zenon_H24e). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 exact (zenon_H2be zenon_H2bc). % 33.17/33.38 apply (zenon_L395_); trivial. % 33.17/33.38 apply (zenon_L22_); trivial. % 33.17/33.38 apply (zenon_L78_); trivial. % 33.17/33.38 apply (zenon_L302_); trivial. % 33.17/33.38 apply (zenon_L157_); trivial. % 33.17/33.38 apply (zenon_L275_); trivial. % 33.17/33.38 apply (zenon_L172_); trivial. % 33.17/33.38 apply (zenon_L173_); trivial. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.38 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hbd | zenon_intro zenon_H6f ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H281 | zenon_intro zenon_H36e ]. % 33.17/33.38 exact (zenon_H287 zenon_H281). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H24e | zenon_intro zenon_H36f ]. % 33.17/33.38 exact (zenon_H252 zenon_H24e). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bc | zenon_intro zenon_H24a ]. % 33.17/33.38 exact (zenon_H2be zenon_H2bc). % 33.17/33.38 apply (zenon_L397_); trivial. % 33.17/33.38 apply (zenon_L33_); trivial. % 33.17/33.38 apply (zenon_L80_); trivial. % 33.17/33.38 apply (zenon_L18_); trivial. % 33.17/33.38 apply (zenon_L93_); trivial. % 33.17/33.38 (* end of lemma zenon_L403_ *) % 33.17/33.38 assert (zenon_L404_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((e20) = (e21))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H2f3 zenon_H1b9 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H2f1 zenon_H136 zenon_He0 zenon_H70 zenon_H15 zenon_H474 zenon_Hb4 zenon_Hb8 zenon_Hf6 zenon_Haf zenon_H10a zenon_H326 zenon_H32b zenon_H3a zenon_Hdf zenon_H346 zenon_H31a zenon_H33 zenon_H6a zenon_H128 zenon_H126 zenon_H123 zenon_H4f zenon_H11f zenon_H69 zenon_H3f zenon_Hd8 zenon_Hd5 zenon_Hda zenon_Hdc zenon_H62 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H89 zenon_H36c zenon_H12e zenon_H5e zenon_H9d zenon_H8e zenon_H34 zenon_H31 zenon_Ha2 zenon_Ha4 zenon_H1b zenon_H1a zenon_H399 zenon_H46e zenon_H13 zenon_H81 zenon_H43 zenon_Ha3 zenon_H4c zenon_H57 zenon_H5d zenon_H94 zenon_H1d0 zenon_H1a9 zenon_H1b4 zenon_H1bf. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.17/33.38 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H287 | zenon_intro zenon_H1b3 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.17/33.38 apply (zenon_L403_); trivial. % 33.17/33.38 apply (zenon_L233_); trivial. % 33.17/33.38 apply (zenon_L88_); trivial. % 33.17/33.38 (* end of lemma zenon_L404_ *) % 33.17/33.38 assert (zenon_L405_ : ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((e20) = (h1 (op1 (e13) (e12))))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H21 zenon_H41 zenon_H477. % 33.17/33.38 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H478 | zenon_intro zenon_H479 ]. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((e20) = (h1 (op1 (e13) (e12))))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H477. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H478. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H47a]. % 33.17/33.38 congruence. % 33.17/33.38 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e13) (e12))) = (e20))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H47a. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H21. % 33.17/33.38 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 33.17/33.38 cut (((h1 (e10)) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 33.17/33.38 congruence. % 33.17/33.38 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H478 | zenon_intro zenon_H479 ]. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((h1 (e10)) = (h1 (op1 (e13) (e12))))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H47b. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H478. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H479]. % 33.17/33.38 cut (((h1 (op1 (e13) (e12))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H47c]. % 33.17/33.38 congruence. % 33.17/33.38 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H47d]. % 33.17/33.38 congruence. % 33.17/33.38 exact (zenon_H47d zenon_H41). % 33.17/33.38 apply zenon_H479. apply refl_equal. % 33.17/33.38 apply zenon_H479. apply refl_equal. % 33.17/33.38 apply zenon_H1a7. apply refl_equal. % 33.17/33.38 apply zenon_H479. apply refl_equal. % 33.17/33.38 apply zenon_H479. apply refl_equal. % 33.17/33.38 (* end of lemma zenon_L405_ *) % 33.17/33.38 assert (zenon_L406_ : ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H2df zenon_H399 zenon_H1bf zenon_H334 zenon_H1a9 zenon_H21 zenon_H41 zenon_H47e. % 33.17/33.38 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H47f | zenon_intro zenon_H480 ]. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H47e. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H47f. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H480]. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H481]. % 33.17/33.38 congruence. % 33.17/33.38 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H481. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H2df. % 33.17/33.38 cut (((e20) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H477]. % 33.17/33.38 cut (((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H482]. % 33.17/33.38 congruence. % 33.17/33.38 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H47f | zenon_intro zenon_H480 ]. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))). % 33.17/33.38 intro zenon_D_pnotp. % 33.17/33.38 apply zenon_H482. % 33.17/33.38 rewrite <- zenon_D_pnotp. % 33.17/33.38 exact zenon_H47f. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H480]. % 33.17/33.38 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H483]. % 33.17/33.38 congruence. % 33.17/33.38 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 33.17/33.38 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.17/33.38 congruence. % 33.17/33.38 apply (zenon_L235_); trivial. % 33.17/33.38 apply (zenon_L166_); trivial. % 33.17/33.38 apply zenon_H480. apply refl_equal. % 33.17/33.38 apply zenon_H480. apply refl_equal. % 33.17/33.38 apply (zenon_L405_); trivial. % 33.17/33.38 apply zenon_H480. apply refl_equal. % 33.17/33.38 apply zenon_H480. apply refl_equal. % 33.17/33.38 (* end of lemma zenon_L406_ *) % 33.17/33.38 assert (zenon_L407_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 33.17/33.38 do 0 intro. intros zenon_H43 zenon_H9e zenon_H9d zenon_H31 zenon_H13 zenon_H94 zenon_Hd7 zenon_Hd8 zenon_Ha3 zenon_H47e zenon_H21 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H399 zenon_H2df zenon_He0 zenon_H6e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.38 apply (zenon_L46_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.38 apply (zenon_L41_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.38 apply (zenon_L406_); trivial. % 33.17/33.38 apply (zenon_L52_); trivial. % 33.17/33.38 (* end of lemma zenon_L407_ *) % 33.17/33.38 assert (zenon_L408_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 33.17/33.38 do 0 intro. intros zenon_Ha4 zenon_H67 zenon_Hda zenon_H8e zenon_H34 zenon_Ha2 zenon_H43 zenon_H9d zenon_H31 zenon_H13 zenon_H94 zenon_Hd7 zenon_Hd8 zenon_Ha3 zenon_H47e zenon_H21 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H399 zenon_H2df zenon_He0 zenon_H6e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H68 | zenon_intro zenon_Ha5 ]. % 33.17/33.38 apply (zenon_L45_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8d | zenon_intro zenon_Ha6 ]. % 33.17/33.38 apply (zenon_L22_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H9e ]. % 33.17/33.38 exact (zenon_Ha2 zenon_Ha7). % 33.17/33.38 apply (zenon_L407_); trivial. % 33.17/33.38 (* end of lemma zenon_L408_ *) % 33.17/33.38 assert (zenon_L409_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 33.17/33.38 do 0 intro. intros zenon_H43 zenon_H12f zenon_H31 zenon_H13 zenon_H94 zenon_H51 zenon_H4c zenon_Hd8 zenon_Ha3 zenon_H47e zenon_H21 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H399 zenon_H2df zenon_He0 zenon_H6e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.38 apply (zenon_L174_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.38 apply (zenon_L175_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.38 apply (zenon_L406_); trivial. % 33.17/33.38 apply (zenon_L52_); trivial. % 33.17/33.38 (* end of lemma zenon_L409_ *) % 33.17/33.38 assert (zenon_L410_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H136 zenon_H5d zenon_H81 zenon_H89 zenon_Hc6 zenon_H8e zenon_H34 zenon_Hbf zenon_Hce zenon_H76 zenon_Hd2 zenon_H3f zenon_Ha4 zenon_H9d zenon_Ha2 zenon_Hd5 zenon_H62 zenon_Hdc zenon_Hda zenon_H75 zenon_He3 zenon_Hf6 zenon_H43 zenon_He0 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H399 zenon_H21 zenon_H2df zenon_H47e zenon_Hd8 zenon_H94 zenon_H4c zenon_Ha3 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.38 exact (zenon_H44 zenon_H48). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.38 exact (zenon_H45 zenon_H4a). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.38 apply (zenon_L406_); trivial. % 33.17/33.38 exact (zenon_H46 zenon_H4b). % 33.17/33.38 apply (zenon_L20_); trivial. % 33.17/33.38 apply (zenon_L21_); trivial. % 33.17/33.38 apply (zenon_L28_); trivial. % 33.17/33.38 apply (zenon_L29_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.38 apply (zenon_L35_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.17/33.38 exact (zenon_H76 zenon_H7b). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.17/33.38 apply (zenon_L36_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.17/33.38 apply (zenon_L44_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.17/33.38 apply (zenon_L44_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.17/33.38 apply (zenon_L408_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.17/33.38 apply (zenon_L48_); trivial. % 33.17/33.38 apply (zenon_L406_); trivial. % 33.17/33.38 apply (zenon_L53_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.38 apply (zenon_L65_); trivial. % 33.17/33.38 apply (zenon_L406_); trivial. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.38 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.38 apply (zenon_L79_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.38 apply (zenon_L409_); trivial. % 33.17/33.38 apply (zenon_L14_); trivial. % 33.17/33.38 apply (zenon_L52_); trivial. % 33.17/33.38 (* end of lemma zenon_L410_ *) % 33.17/33.38 assert (zenon_L411_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H484 zenon_H29e zenon_H2cd zenon_H20 zenon_H388 zenon_H220 zenon_H23a zenon_H393 zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_H94 zenon_Hd8 zenon_H47e zenon_H21 zenon_H399 zenon_H334 zenon_He0 zenon_H43 zenon_Hf6 zenon_He3 zenon_H75 zenon_Hda zenon_Hdc zenon_H62 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H3f zenon_Hd2 zenon_H76 zenon_Hce zenon_Hbf zenon_H34 zenon_H8e zenon_Hc6 zenon_H89 zenon_H81 zenon_H5d zenon_H136 zenon_H391 zenon_H2b1 zenon_H261 zenon_H313 zenon_H230 zenon_H1a9 zenon_H1b zenon_H262 zenon_H1bf zenon_H26a. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H37b | zenon_intro zenon_H485 ]. % 33.17/33.38 apply (zenon_L206_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H486 ]. % 33.17/33.38 apply (zenon_L138_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H486); [ zenon_intro zenon_H386 | zenon_intro zenon_H1bb ]. % 33.17/33.38 apply (zenon_L213_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H2df | zenon_intro zenon_H394 ]. % 33.17/33.38 apply (zenon_L410_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H386 | zenon_intro zenon_H395 ]. % 33.17/33.38 apply (zenon_L224_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H269 ]. % 33.17/33.38 apply (zenon_L130_); trivial. % 33.17/33.38 apply (zenon_L194_); trivial. % 33.17/33.38 (* end of lemma zenon_L411_ *) % 33.17/33.38 assert (zenon_L412_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e23) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H393 zenon_H13 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_Ha3 zenon_H4c zenon_H94 zenon_Hd8 zenon_H47e zenon_H21 zenon_H399 zenon_H334 zenon_He0 zenon_H43 zenon_Hf6 zenon_He3 zenon_H75 zenon_Hda zenon_Hdc zenon_H62 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H3f zenon_Hd2 zenon_H76 zenon_Hce zenon_Hbf zenon_H34 zenon_H8e zenon_Hc6 zenon_H89 zenon_H81 zenon_H5d zenon_H136 zenon_H383 zenon_H2b1 zenon_H1a9 zenon_H1bf zenon_H257 zenon_H26a. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H2df | zenon_intro zenon_H394 ]. % 33.17/33.38 apply (zenon_L410_); trivial. % 33.17/33.38 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H386 | zenon_intro zenon_H395 ]. % 33.17/33.38 exact (zenon_H383 zenon_H386). % 33.17/33.38 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H269 ]. % 33.17/33.38 apply (zenon_L130_); trivial. % 33.17/33.38 apply (zenon_L114_); trivial. % 33.17/33.38 (* end of lemma zenon_L412_ *) % 33.17/33.38 assert (zenon_L413_ : (((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e20) (e21)) = (e21)))\/((op2 (e20) (e21)) = (e21)))/\(((~((op2 (e20) (e22)) = (e21)))\/((op2 (e20) (e21)) = (e22)))/\(((~((op2 (e20) (e23)) = (e21)))\/((op2 (e20) (e21)) = (e23)))/\(((~((op2 (e21) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20)))/\(((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\(((~((op2 (e22) (e23)) = (e21)))\/((op2 (e22) (e21)) = (e23)))/\(((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20)))/\(((~((op2 (e23) (e21)) = (e21)))\/((op2 (e23) (e21)) = (e21)))/\(((~((op2 (e23) (e22)) = (e21)))\/((op2 (e23) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))))))))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 33.17/33.38 do 0 intro. intros zenon_H28e zenon_H367 zenon_H136 zenon_H12e zenon_Hf6 zenon_H75 zenon_He0 zenon_Hda zenon_Hdc zenon_H62 zenon_Hd5 zenon_Hd8 zenon_H3f zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H31 zenon_H34 zenon_H89 zenon_H43 zenon_H334 zenon_H399 zenon_H21 zenon_H47e zenon_H81 zenon_H13 zenon_H8e zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H5e zenon_H5d zenon_H94 zenon_Ha4 zenon_H2b1 zenon_H393 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H253 zenon_H262 zenon_H25d zenon_H261 zenon_H2bb zenon_H23d zenon_H26a zenon_H270 zenon_H1bf zenon_H1ed zenon_H2aa zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.17/33.38 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.17/33.39 apply (zenon_L104_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H383 | zenon_intro zenon_H2a9 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.17/33.39 apply (zenon_L98_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.17/33.39 apply (zenon_L299_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.17/33.39 apply (zenon_L412_); trivial. % 33.17/33.39 apply (zenon_L112_); trivial. % 33.17/33.39 apply (zenon_L129_); trivial. % 33.17/33.39 (* end of lemma zenon_L413_ *) % 33.17/33.39 assert (zenon_L414_ : (((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e20) (e21)) = (e22)))\/((op2 (e20) (e22)) = (e21)))/\(((~((op2 (e20) (e22)) = (e22)))\/((op2 (e20) (e22)) = (e22)))/\(((~((op2 (e20) (e23)) = (e22)))\/((op2 (e20) (e22)) = (e23)))/\(((~((op2 (e21) (e20)) = (e22)))\/((op2 (e21) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e21) (e22)) = (e22)))\/((op2 (e21) (e22)) = (e22)))/\(((~((op2 (e21) (e23)) = (e22)))\/((op2 (e21) (e22)) = (e23)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\(((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20)))/\(((~((op2 (e23) (e21)) = (e22)))\/((op2 (e23) (e22)) = (e21)))/\(((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))))))))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H3f0 zenon_Ha4 zenon_H94 zenon_H5d zenon_H5e zenon_H57 zenon_H4c zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H8e zenon_H13 zenon_H81 zenon_H47e zenon_H21 zenon_H399 zenon_H334 zenon_H43 zenon_H89 zenon_H34 zenon_H31 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_H3f zenon_Hd8 zenon_Hd5 zenon_H62 zenon_Hdc zenon_Hda zenon_He0 zenon_H75 zenon_Hf6 zenon_H12e zenon_H136 zenon_H2b7 zenon_H1c2 zenon_H1bf zenon_H1a9 zenon_H2aa zenon_H2b1. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.17/33.39 apply (zenon_L131_); trivial. % 33.17/33.39 apply (zenon_L410_); trivial. % 33.17/33.39 (* end of lemma zenon_L414_ *) % 33.17/33.39 assert (zenon_L415_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((op1 (e13) (e12)) = (e10)) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.39 do 0 intro. intros zenon_H487 zenon_H26f zenon_H2b1 zenon_H1bb zenon_H391 zenon_H393 zenon_H2be zenon_H36a zenon_H2ed zenon_H1b zenon_H1ac zenon_H2bb zenon_H2bf zenon_H47e zenon_H41 zenon_H21 zenon_H1a9 zenon_H334 zenon_H1bf zenon_H399 zenon_H2f1 zenon_H1b2. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H2de | zenon_intro zenon_H488 ]. % 33.17/33.39 apply (zenon_L225_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H488); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H489 ]. % 33.17/33.39 apply (zenon_L336_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H2df | zenon_intro zenon_H1cc ]. % 33.17/33.39 apply (zenon_L406_); trivial. % 33.17/33.39 apply (zenon_L154_); trivial. % 33.17/33.39 (* end of lemma zenon_L415_ *) % 33.17/33.39 assert (zenon_L416_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((op1 (e13) (e12)) = (e10)) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e22)) = (e23))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H2e3 zenon_H2e4 zenon_H2aa zenon_H487 zenon_H2bb zenon_H47e zenon_H41 zenon_H21 zenon_H334 zenon_H399 zenon_H2f1 zenon_H1b2 zenon_H1fc zenon_H363 zenon_H1d7 zenon_H370 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2bf zenon_H1ac zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H2e9 zenon_H2be zenon_H27e zenon_H393 zenon_H391 zenon_H1bb zenon_H2b1 zenon_H1bf zenon_H1a9 zenon_H26f. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.39 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.39 apply (zenon_L282_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.39 apply (zenon_L415_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.39 apply (zenon_L217_); trivial. % 33.17/33.39 apply (zenon_L129_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.39 apply (zenon_L223_); trivial. % 33.17/33.39 apply (zenon_L225_); trivial. % 33.17/33.39 (* end of lemma zenon_L416_ *) % 33.17/33.39 assert (zenon_L417_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e22)) = (e23))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H75 zenon_H76 zenon_Hcc zenon_Hc6 zenon_Hbf zenon_Hce zenon_Hd2 zenon_He8 zenon_H62 zenon_Hd5 zenon_H4c zenon_H3f zenon_He0 zenon_H2df zenon_Ha3 zenon_Hd8 zenon_Hd7 zenon_H94 zenon_H13 zenon_H31 zenon_H9d zenon_H43 zenon_Ha2 zenon_H34 zenon_H8e zenon_Hda zenon_Ha4 zenon_Hd3 zenon_Hdc zenon_H2e3 zenon_H2e4 zenon_H2aa zenon_H487 zenon_H2bb zenon_H47e zenon_H21 zenon_H334 zenon_H399 zenon_H2f1 zenon_H1b2 zenon_H1fc zenon_H363 zenon_H1d7 zenon_H370 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2bf zenon_H1ac zenon_H252 zenon_H36a zenon_H1fb zenon_H274 zenon_H2e9 zenon_H2be zenon_H27e zenon_H393 zenon_H391 zenon_H1bb zenon_H2b1 zenon_H1bf zenon_H1a9 zenon_H26f. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.17/33.39 exact (zenon_H76 zenon_H7b). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.17/33.39 apply (zenon_L63_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.17/33.39 apply (zenon_L44_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H65 ]. % 33.17/33.39 apply (zenon_L44_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 33.17/33.39 apply (zenon_L408_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H68 | zenon_intro zenon_H41 ]. % 33.17/33.39 apply (zenon_L48_); trivial. % 33.17/33.39 apply (zenon_L416_); trivial. % 33.17/33.39 (* end of lemma zenon_L417_ *) % 33.17/33.39 assert (zenon_L418_ : ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e23) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (e23))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.39 do 0 intro. intros zenon_H2ed zenon_H26f zenon_H1a9 zenon_H1bf zenon_H2b1 zenon_H1bb zenon_H391 zenon_H393 zenon_H27e zenon_H2be zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H1ac zenon_H2bf zenon_H1b zenon_H278 zenon_H27a zenon_H1f9 zenon_H370 zenon_H1d7 zenon_H363 zenon_H1fc zenon_H399 zenon_H334 zenon_H21 zenon_H47e zenon_H2bb zenon_H487 zenon_H2aa zenon_H2e4 zenon_H2e3 zenon_Hdc zenon_Hd3 zenon_Ha4 zenon_Hda zenon_H8e zenon_H34 zenon_Ha2 zenon_H43 zenon_H9d zenon_H31 zenon_H13 zenon_H94 zenon_Hd7 zenon_Hd8 zenon_Ha3 zenon_He0 zenon_H3f zenon_H4c zenon_Hd5 zenon_H62 zenon_He8 zenon_Hd2 zenon_Hce zenon_Hbf zenon_Hc6 zenon_Hcc zenon_H76 zenon_H75 zenon_H2f1 zenon_H1b2. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H2de | zenon_intro zenon_H488 ]. % 33.17/33.39 apply (zenon_L225_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H488); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H489 ]. % 33.17/33.39 apply (zenon_L336_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H2df | zenon_intro zenon_H1cc ]. % 33.17/33.39 apply (zenon_L417_); trivial. % 33.17/33.39 apply (zenon_L154_); trivial. % 33.17/33.39 (* end of lemma zenon_L418_ *) % 33.17/33.39 assert (zenon_L419_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 33.17/33.39 do 0 intro. intros zenon_H487 zenon_H26f zenon_H2b1 zenon_H1bb zenon_H391 zenon_H393 zenon_H2be zenon_H36a zenon_H2ed zenon_H1b zenon_H1ac zenon_H2bb zenon_H2bf zenon_H6e zenon_He0 zenon_H399 zenon_H1bf zenon_H334 zenon_H1a9 zenon_H21 zenon_H47e zenon_Ha3 zenon_Hd8 zenon_H4c zenon_H51 zenon_H94 zenon_H13 zenon_H31 zenon_H12f zenon_H43 zenon_H2f1 zenon_H1b2. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H2de | zenon_intro zenon_H488 ]. % 33.17/33.39 apply (zenon_L225_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H488); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H489 ]. % 33.17/33.39 apply (zenon_L336_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H2df | zenon_intro zenon_H1cc ]. % 33.17/33.39 apply (zenon_L409_); trivial. % 33.17/33.39 apply (zenon_L154_); trivial. % 33.17/33.39 (* end of lemma zenon_L419_ *) % 33.17/33.39 assert (zenon_L420_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H370 zenon_H363 zenon_H20 zenon_H1b2 zenon_H2f1 zenon_H43 zenon_H12f zenon_H31 zenon_H13 zenon_H94 zenon_H51 zenon_H4c zenon_Hd8 zenon_Ha3 zenon_H47e zenon_H21 zenon_H334 zenon_H399 zenon_He0 zenon_H6e zenon_H2bf zenon_H2bb zenon_H1ac zenon_H2be zenon_H393 zenon_H391 zenon_H1bb zenon_H2b1 zenon_H26f zenon_H487 zenon_H1f9 zenon_H27a zenon_H278 zenon_H1b zenon_H2e9 zenon_H274 zenon_H1fb zenon_H36a zenon_H252 zenon_H27e zenon_H1a9 zenon_H1bf zenon_H2aa. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.39 apply (zenon_L191_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.39 apply (zenon_L419_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.39 apply (zenon_L218_); trivial. % 33.17/33.39 apply (zenon_L129_); trivial. % 33.17/33.39 (* end of lemma zenon_L420_ *) % 33.17/33.39 assert (zenon_L421_ : ((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (e23))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H307 zenon_H1d0 zenon_H30f zenon_H136 zenon_H12e zenon_Hf6 zenon_H76 zenon_Hd2 zenon_H3f zenon_Hd8 zenon_Hd5 zenon_H62 zenon_Hdc zenon_Hda zenon_He0 zenon_H75 zenon_He3 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H31 zenon_H34 zenon_H89 zenon_H43 zenon_H2e4 zenon_H370 zenon_H2aa zenon_H274 zenon_H252 zenon_H2e9 zenon_H393 zenon_H391 zenon_H2b1 zenon_H2bf zenon_H36a zenon_H2bb zenon_H47e zenon_H21 zenon_H399 zenon_H334 zenon_H2f1 zenon_H1b2 zenon_H487 zenon_H363 zenon_H1fb zenon_H1ac zenon_H1b zenon_H1d7 zenon_H1fc zenon_H27e zenon_H1f9 zenon_H27a zenon_H278 zenon_H2e3 zenon_H81 zenon_H13 zenon_H8e zenon_Ha2 zenon_Ha3 zenon_H9d zenon_H4c zenon_H57 zenon_H5e zenon_H5d zenon_H94 zenon_Ha4 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H1bf zenon_H2ef zenon_H30d. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.17/33.39 apply (zenon_L153_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.17/33.39 exact (zenon_H44 zenon_H48). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.17/33.39 exact (zenon_H45 zenon_H4a). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.17/33.39 apply (zenon_L416_); trivial. % 33.17/33.39 exact (zenon_H46 zenon_H4b). % 33.17/33.39 apply (zenon_L20_); trivial. % 33.17/33.39 apply (zenon_L21_); trivial. % 33.17/33.39 apply (zenon_L28_); trivial. % 33.17/33.39 apply (zenon_L29_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.17/33.39 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.17/33.39 apply (zenon_L35_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.17/33.39 exact (zenon_H2e4 zenon_H2e7). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H371 ]. % 33.17/33.39 apply (zenon_L282_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2ed | zenon_intro zenon_H372 ]. % 33.17/33.39 apply (zenon_L418_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a9 ]. % 33.17/33.39 apply (zenon_L217_); trivial. % 33.17/33.39 apply (zenon_L129_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.17/33.39 apply (zenon_L223_); trivial. % 33.17/33.39 apply (zenon_L225_); trivial. % 33.17/33.39 apply (zenon_L53_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.17/33.39 apply (zenon_L65_); trivial. % 33.17/33.39 apply (zenon_L416_); trivial. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.17/33.39 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.17/33.39 apply (zenon_L79_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.17/33.39 apply (zenon_L420_); trivial. % 33.17/33.39 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.17/33.39 exact (zenon_H1fb zenon_H21d). % 33.17/33.39 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.17/33.39 apply (zenon_L87_); trivial. % 33.17/33.39 apply (zenon_L94_); trivial. % 33.17/33.39 apply (zenon_L14_); trivial. % 33.17/33.39 apply (zenon_L52_); trivial. % 33.17/33.39 apply (zenon_L91_); trivial. % 33.17/33.39 apply (zenon_L154_); trivial. % 33.17/33.39 apply (zenon_L93_); trivial. % 33.17/33.39 (* end of lemma zenon_L421_ *) % 33.17/33.39 assert (zenon_L422_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e22))\/((op2 (e21) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.17/33.39 do 0 intro. intros zenon_H2f3 zenon_H1b9 zenon_H1a9 zenon_H1c2 zenon_H1ca zenon_H270 zenon_Ha4 zenon_H94 zenon_H5d zenon_H5e zenon_H57 zenon_H4c zenon_H9d zenon_Ha3 zenon_Ha2 zenon_H8e zenon_H13 zenon_H81 zenon_H2e3 zenon_H278 zenon_H27a zenon_H27e zenon_H1fc zenon_H1d7 zenon_H1b zenon_H1ac zenon_H1fb zenon_H363 zenon_H487 zenon_H2f1 zenon_H334 zenon_H399 zenon_H21 zenon_H47e zenon_H2bb zenon_H36a zenon_H2bf zenon_H2b1 zenon_H391 zenon_H393 zenon_H2e9 zenon_H274 zenon_H2aa zenon_H370 zenon_H2e4 zenon_H43 zenon_H89 zenon_H34 zenon_H31 zenon_Hc6 zenon_Hbf zenon_Hce zenon_He3 zenon_H75 zenon_He0 zenon_Hda zenon_Hdc zenon_H62 zenon_Hd5 zenon_Hd8 zenon_H3f zenon_Hd2 zenon_H76 zenon_Hf6 zenon_H12e zenon_H136 zenon_H1d0 zenon_H396 zenon_H1bf. % 33.17/33.39 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L421_); trivial. % 33.27/33.40 apply (zenon_L233_); trivial. % 33.27/33.40 apply (zenon_L234_); trivial. % 33.27/33.40 (* end of lemma zenon_L422_ *) % 33.27/33.40 assert (zenon_L423_ : ((op2 (e23) (e23)) = (e21)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e13)) (h1 (e13))))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H1bb zenon_H399 zenon_H1bf zenon_H1b zenon_H48a. % 33.27/33.40 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H48b | zenon_intro zenon_H48c ]. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e13)) (h1 (e13))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H48a. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H48b. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H48c]. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H48d]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (h1 (e13)) (h1 (e13))) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H48d. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H1bb. % 33.27/33.40 cut (((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 33.27/33.40 cut (((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H48e]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H48b | zenon_intro zenon_H48c ]. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H48e. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H48b. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H48c]. % 33.27/33.40 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H48f]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.27/33.40 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 33.27/33.40 congruence. % 33.27/33.40 apply (zenon_L235_); trivial. % 33.27/33.40 apply (zenon_L235_); trivial. % 33.27/33.40 apply zenon_H48c. apply refl_equal. % 33.27/33.40 apply zenon_H48c. apply refl_equal. % 33.27/33.40 exact (zenon_H2b zenon_H1b). % 33.27/33.40 apply zenon_H48c. apply refl_equal. % 33.27/33.40 apply zenon_H48c. apply refl_equal. % 33.27/33.40 (* end of lemma zenon_L423_ *) % 33.27/33.40 assert (zenon_L424_ : (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H490 zenon_H1a zenon_H51 zenon_H1bb zenon_H1b zenon_H399 zenon_H1bf. % 33.27/33.40 cut (((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H490. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H1a. % 33.27/33.40 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H48a]. % 33.27/33.40 cut (((h1 (e11)) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H491]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [ zenon_intro zenon_H492 | zenon_intro zenon_H493 ]. % 33.27/33.40 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13)))) = ((h1 (e11)) = (h1 (op1 (e13) (e13))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H491. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H492. % 33.27/33.40 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H493]. % 33.27/33.40 cut (((h1 (op1 (e13) (e13))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H494]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H495]. % 33.27/33.40 congruence. % 33.27/33.40 exact (zenon_H495 zenon_H51). % 33.27/33.40 apply zenon_H493. apply refl_equal. % 33.27/33.40 apply zenon_H493. apply refl_equal. % 33.27/33.40 apply (zenon_L423_); trivial. % 33.27/33.40 (* end of lemma zenon_L424_ *) % 33.27/33.40 assert (zenon_L425_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H5d zenon_H6e zenon_He0 zenon_H1bf zenon_H399 zenon_H1b zenon_H1bb zenon_H1a zenon_H490 zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4b | zenon_intro zenon_H5f ]. % 33.27/33.40 apply (zenon_L52_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H51 | zenon_intro zenon_H60 ]. % 33.27/33.40 apply (zenon_L424_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H56 | zenon_intro zenon_H61 ]. % 33.27/33.40 apply (zenon_L14_); trivial. % 33.27/33.40 exact (zenon_H5e zenon_H61). % 33.27/33.40 (* end of lemma zenon_L425_ *) % 33.27/33.40 assert (zenon_L426_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H75 zenon_H76 zenon_Hcc zenon_Hc6 zenon_Hbf zenon_Hce zenon_Hd2 zenon_He8 zenon_H9d zenon_H94 zenon_Hd7 zenon_Hd8 zenon_H4a zenon_Ha3 zenon_Ha2 zenon_H34 zenon_H8e zenon_Hd5 zenon_Ha4 zenon_H5d zenon_He0 zenon_H1bf zenon_H399 zenon_H1b zenon_H1bb zenon_H1a zenon_H490 zenon_H57 zenon_H13 zenon_H31 zenon_H5e. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.27/33.40 exact (zenon_H76 zenon_H7b). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.27/33.40 apply (zenon_L63_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.27/33.40 apply (zenon_L42_); trivial. % 33.27/33.40 apply (zenon_L425_); trivial. % 33.27/33.40 (* end of lemma zenon_L426_ *) % 33.27/33.40 assert (zenon_L427_ : (~((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e12)) = (e11)) -> False). % 33.27/33.40 do 0 intro. intros zenon_H496 zenon_Hd0 zenon_H31 zenon_H3c. % 33.27/33.40 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e11) (e12)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H496. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_Hd0. % 33.27/33.40 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 33.27/33.40 cut (((op1 (e12) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 33.27/33.40 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e12) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H11b. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H11c. % 33.27/33.40 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 33.27/33.40 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 33.27/33.40 congruence. % 33.27/33.40 apply (zenon_L6_); trivial. % 33.27/33.40 apply zenon_H11d. apply refl_equal. % 33.27/33.40 apply zenon_H11d. apply refl_equal. % 33.27/33.40 apply zenon_H3d. apply sym_equal. exact zenon_H3c. % 33.27/33.40 (* end of lemma zenon_L427_ *) % 33.27/33.40 assert (zenon_L428_ : ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H34 zenon_H95 zenon_Hd0 zenon_H3c zenon_H31 zenon_Hdf. % 33.27/33.40 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H4e ]. % 33.27/33.40 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_Hdf. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H99. % 33.27/33.40 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 33.27/33.40 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H497]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H497. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H34. % 33.27/33.40 cut (((op1 (op1 (op1 (e10) (e10)) (e10)) (e10)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H496]. % 33.27/33.40 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H4e ]. % 33.27/33.40 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H97. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H99. % 33.27/33.40 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 33.27/33.40 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 33.27/33.40 congruence. % 33.27/33.40 exact (zenon_Hd7 zenon_H95). % 33.27/33.40 apply zenon_H4e. apply refl_equal. % 33.27/33.40 apply zenon_H4e. apply refl_equal. % 33.27/33.40 apply (zenon_L427_); trivial. % 33.27/33.40 apply zenon_H4e. apply refl_equal. % 33.27/33.40 apply zenon_H4e. apply refl_equal. % 33.27/33.40 (* end of lemma zenon_L428_ *) % 33.27/33.40 assert (zenon_L429_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H123 zenon_H89 zenon_H5e zenon_H5c zenon_H126 zenon_H4c zenon_H41 zenon_H5d zenon_Hdf zenon_H31 zenon_H3c zenon_Hd0 zenon_H34 zenon_H490 zenon_H1a zenon_H1bb zenon_H1b zenon_H399 zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H88 | zenon_intro zenon_H124 ]. % 33.27/33.40 apply (zenon_L21_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11e | zenon_intro zenon_H125 ]. % 33.27/33.40 apply (zenon_L73_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H95 | zenon_intro zenon_H51 ]. % 33.27/33.40 apply (zenon_L428_); trivial. % 33.27/33.40 apply (zenon_L424_); trivial. % 33.27/33.40 (* end of lemma zenon_L429_ *) % 33.27/33.40 assert (zenon_L430_ : ((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10))) -> ((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13))) -> ((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op2 (e23) (e23)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H182 zenon_H188 zenon_H111 zenon_H94 zenon_He3 zenon_H31 zenon_H13 zenon_H57 zenon_Hf6 zenon_H18c zenon_H9d zenon_H123 zenon_H1bb zenon_H1b zenon_H399 zenon_H1bf zenon_H1a zenon_H490 zenon_H3c zenon_Hdf zenon_H4c zenon_H126 zenon_H5e zenon_H5d zenon_H34 zenon_H89 zenon_Hc6 zenon_H8e zenon_Hbf zenon_Hce zenon_H12b zenon_Ha2 zenon_H10a zenon_H184. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H10b | zenon_intro zenon_H8d ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H10c | zenon_intro zenon_H9e ]. % 33.27/33.40 apply (zenon_L64_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H112 | zenon_intro zenon_H41 ]. % 33.27/33.40 apply (zenon_L65_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H5c | zenon_intro zenon_H9f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 33.27/33.40 apply (zenon_L429_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd1 ]. % 33.27/33.40 apply (zenon_L34_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbe ]. % 33.27/33.40 apply (zenon_L22_); trivial. % 33.27/33.40 apply (zenon_L33_); trivial. % 33.27/33.40 apply (zenon_L27_); trivial. % 33.27/33.40 apply (zenon_L22_); trivial. % 33.27/33.40 apply (zenon_L78_); trivial. % 33.27/33.40 (* end of lemma zenon_L430_ *) % 33.27/33.40 assert (zenon_L431_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e11)) -> False). % 33.27/33.40 do 0 intro. intros zenon_H498 zenon_H3b zenon_H6f. % 33.27/33.40 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H498. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H3b. % 33.27/33.40 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H499]. % 33.27/33.40 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 33.27/33.40 congruence. % 33.27/33.40 apply zenon_H3e. apply refl_equal. % 33.27/33.40 apply zenon_H499. apply sym_equal. exact zenon_H6f. % 33.27/33.40 (* end of lemma zenon_L431_ *) % 33.27/33.40 assert (zenon_L432_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H13 zenon_H49a zenon_H49b. % 33.27/33.40 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H49c | zenon_intro zenon_He1 ]. % 33.27/33.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H49b. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H49c. % 33.27/33.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 33.27/33.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49d]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H49d. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H13. % 33.27/33.40 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 33.27/33.40 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H49e]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H49c | zenon_intro zenon_He1 ]. % 33.27/33.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H49e. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H49c. % 33.27/33.40 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 33.27/33.40 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H49f]. % 33.27/33.40 congruence. % 33.27/33.40 exact (zenon_H49f zenon_H49a). % 33.27/33.40 apply zenon_He1. apply refl_equal. % 33.27/33.40 apply zenon_He1. apply refl_equal. % 33.27/33.40 apply zenon_H85. apply refl_equal. % 33.27/33.40 apply zenon_He1. apply refl_equal. % 33.27/33.40 apply zenon_He1. apply refl_equal. % 33.27/33.40 (* end of lemma zenon_L432_ *) % 33.27/33.40 assert (zenon_L433_ : ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e23)) = (e21)) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H136 zenon_H440 zenon_H4a0 zenon_H81 zenon_Hfe zenon_H76 zenon_Hd2 zenon_H43 zenon_Hd8 zenon_H75 zenon_Ha4 zenon_Hd5 zenon_Ha3 zenon_H4a1 zenon_H49b zenon_H498 zenon_H31a zenon_H346 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H5d zenon_H126 zenon_H4c zenon_Hdf zenon_H123 zenon_H9d zenon_Hf6 zenon_He3 zenon_H94 zenon_H34 zenon_H8e zenon_Haf zenon_H10a zenon_H326 zenon_Ha2 zenon_H89 zenon_H32b zenon_H3a zenon_H3f zenon_H1bb zenon_H1b zenon_H399 zenon_H1bf zenon_H1a zenon_H490 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_He0 zenon_H13. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H4a2 | zenon_intro zenon_Hfd ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H3d6 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a0); [ zenon_intro zenon_H6e | zenon_intro zenon_H4a4 ]. % 33.27/33.40 apply (zenon_L425_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a4); [ zenon_intro zenon_H3df | zenon_intro zenon_H4a5 ]. % 33.27/33.40 exact (zenon_H4a2 zenon_H3df). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H3dc | zenon_intro zenon_H4b ]. % 33.27/33.40 exact (zenon_H4a3 zenon_H3dc). % 33.27/33.40 exact (zenon_H46 zenon_H4b). % 33.27/33.40 apply (zenon_L20_); trivial. % 33.27/33.40 apply (zenon_L344_); trivial. % 33.27/33.40 apply (zenon_L59_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.27/33.40 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hd3 ]. % 33.27/33.40 apply (zenon_L35_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hd7 | zenon_intro zenon_He2 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 33.27/33.40 exact (zenon_H76 zenon_H7b). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 33.27/33.40 apply (zenon_L36_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H40 | zenon_intro zenon_H6e ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 33.27/33.40 apply (zenon_L39_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 33.27/33.40 apply (zenon_L426_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H41 | zenon_intro zenon_H4b ]. % 33.27/33.40 apply (zenon_L9_); trivial. % 33.27/33.40 apply (zenon_L43_); trivial. % 33.27/33.40 apply (zenon_L425_); trivial. % 33.27/33.40 apply (zenon_L53_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.27/33.40 apply (zenon_L171_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.27/33.40 apply (zenon_L291_); trivial. % 33.27/33.40 apply (zenon_L430_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H345 | zenon_intro zenon_H319 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H6e | zenon_intro zenon_H4a6 ]. % 33.27/33.40 apply (zenon_L425_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H6f | zenon_intro zenon_H4a7 ]. % 33.27/33.40 apply (zenon_L431_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H344 | zenon_intro zenon_H49a ]. % 33.27/33.40 exact (zenon_H345 zenon_H344). % 33.27/33.40 apply (zenon_L432_); trivial. % 33.27/33.40 apply (zenon_L158_); trivial. % 33.27/33.40 apply (zenon_L173_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.27/33.40 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.27/33.40 apply (zenon_L79_); trivial. % 33.27/33.40 apply (zenon_L424_); trivial. % 33.27/33.40 apply (zenon_L52_); trivial. % 33.27/33.40 (* end of lemma zenon_L433_ *) % 33.27/33.40 assert (zenon_L434_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((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 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H484 zenon_H29e zenon_H2cd zenon_H20 zenon_H23a zenon_H1d0 zenon_H1a9 zenon_H230 zenon_H1ac zenon_H220 zenon_H388 zenon_H238 zenon_H136 zenon_H440 zenon_H4a0 zenon_H81 zenon_Hfe zenon_H76 zenon_Hd2 zenon_H43 zenon_Hd8 zenon_H75 zenon_Ha4 zenon_Hd5 zenon_Ha3 zenon_H4a1 zenon_H49b zenon_H498 zenon_H31a zenon_H346 zenon_Hce zenon_Hbf zenon_Hc6 zenon_H5d zenon_H126 zenon_H4c zenon_Hdf zenon_H123 zenon_H9d zenon_Hf6 zenon_He3 zenon_H94 zenon_H34 zenon_H8e zenon_Haf zenon_H10a zenon_H326 zenon_Ha2 zenon_H89 zenon_H32b zenon_H3a zenon_H3f zenon_H1b zenon_H399 zenon_H1bf zenon_H1a zenon_H490 zenon_H12e zenon_H5e zenon_H57 zenon_H31 zenon_He0 zenon_H13. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H37b | zenon_intro zenon_H485 ]. % 33.27/33.40 apply (zenon_L206_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H486 ]. % 33.27/33.40 apply (zenon_L138_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H486); [ zenon_intro zenon_H386 | zenon_intro zenon_H1bb ]. % 33.27/33.40 apply (zenon_L214_); trivial. % 33.27/33.40 apply (zenon_L433_); trivial. % 33.27/33.40 (* end of lemma zenon_L434_ *) % 33.27/33.40 assert (zenon_L435_ : ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op1 (e10) (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 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H13 zenon_He0 zenon_H31 zenon_H57 zenon_H5e zenon_H12e zenon_H490 zenon_H1a zenon_H1bf zenon_H399 zenon_H3f zenon_H3a zenon_H32b zenon_H89 zenon_Ha2 zenon_H326 zenon_H10a zenon_Haf zenon_H8e zenon_H34 zenon_H94 zenon_He3 zenon_Hf6 zenon_H9d zenon_H123 zenon_Hdf zenon_H4c zenon_H126 zenon_H5d zenon_Hc6 zenon_Hbf zenon_Hce zenon_H346 zenon_H31a zenon_H498 zenon_H49b zenon_H4a1 zenon_Ha3 zenon_Hd5 zenon_Ha4 zenon_H75 zenon_Hd8 zenon_H43 zenon_Hd2 zenon_H76 zenon_Hfe zenon_H81 zenon_H4a0 zenon_H440 zenon_H136 zenon_H238 zenon_H388 zenon_H220 zenon_H20 zenon_H2cd zenon_H29e zenon_H484 zenon_H1ac zenon_H230 zenon_H1b zenon_H1a9 zenon_H1d0. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.27/33.40 apply (zenon_L434_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.27/33.40 apply (zenon_L87_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.27/33.40 apply (zenon_L103_); trivial. % 33.27/33.40 apply (zenon_L93_); trivial. % 33.27/33.40 (* end of lemma zenon_L435_ *) % 33.27/33.40 assert (zenon_L436_ : ((~((op2 (e22) (e20)) = (e21)))\/((op2 (e22) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e20)) = (e21)))\/((op2 (e23) (e21)) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e21)) = (e21)))\/((op2 (e22) (e21)) = (e21))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H273 zenon_H4a8 zenon_H1fb zenon_H484 zenon_H440 zenon_H4a0 zenon_He0 zenon_H490 zenon_H1a zenon_H1bf zenon_H399 zenon_H57 zenon_H31 zenon_H13 zenon_H5e zenon_H5d zenon_H81 zenon_Hfe zenon_Hc6 zenon_H8e zenon_H34 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_H43 zenon_H4c zenon_H3f zenon_Hd8 zenon_H75 zenon_H94 zenon_Ha4 zenon_H9d zenon_Ha2 zenon_Hd5 zenon_Ha3 zenon_H4a1 zenon_H49b zenon_H498 zenon_H31a zenon_H346 zenon_H126 zenon_Hdf zenon_H123 zenon_Hf6 zenon_Haf zenon_H10a zenon_H326 zenon_H89 zenon_H32b zenon_H3a zenon_H12e zenon_H136 zenon_H388 zenon_H20 zenon_H2cd zenon_H29e zenon_H226 zenon_H228 zenon_H227 zenon_H224 zenon_H2bb zenon_H3ec zenon_H238 zenon_H1d0 zenon_H1a9 zenon_H1b zenon_H230 zenon_H1ac zenon_H236. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H237 | zenon_intro zenon_H254 ]. % 33.27/33.40 apply (zenon_L104_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H37e | zenon_intro zenon_H2d8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H22a | zenon_intro zenon_H4a9 ]. % 33.27/33.40 exact (zenon_H224 zenon_H22a). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H22d | zenon_intro zenon_H4aa ]. % 33.27/33.40 exact (zenon_H227 zenon_H22d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4aa); [ zenon_intro zenon_H23a | zenon_intro zenon_H37b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.27/33.40 exact (zenon_H227 zenon_H22d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L434_); trivial. % 33.27/33.40 exact (zenon_H226 zenon_H1ba). % 33.27/33.40 exact (zenon_H37e zenon_H37b). % 33.27/33.40 apply (zenon_L143_); trivial. % 33.27/33.40 (* end of lemma zenon_L436_ *) % 33.27/33.40 assert (zenon_L437_ : ((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e20)) = (e22)))\/((op2 (e23) (e22)) = (e20))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e23) (e22)) = (e22)))\/((op2 (e23) (e22)) = (e22))) -> ((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H2e1 zenon_H2a2 zenon_H262 zenon_H1bf zenon_H1a9 zenon_H29e zenon_H2e2 zenon_H2e4 zenon_H2db zenon_H2cd zenon_H238 zenon_H1d0 zenon_H230 zenon_H220 zenon_H388 zenon_H136 zenon_H12e zenon_H3a zenon_H32b zenon_H89 zenon_H326 zenon_H10a zenon_Haf zenon_Hf6 zenon_H123 zenon_Hdf zenon_H126 zenon_H346 zenon_H31a zenon_H498 zenon_H49b zenon_H4a1 zenon_Ha3 zenon_Hd5 zenon_Ha2 zenon_H9d zenon_Ha4 zenon_H94 zenon_H75 zenon_Hd8 zenon_H3f zenon_H4c zenon_H43 zenon_Hd2 zenon_H76 zenon_He3 zenon_Hce zenon_Hbf zenon_H34 zenon_H8e zenon_Hc6 zenon_Hfe zenon_H81 zenon_H5d zenon_H5e zenon_H13 zenon_H31 zenon_H57 zenon_H399 zenon_H1a zenon_H490 zenon_He0 zenon_H4a0 zenon_H440 zenon_H484 zenon_H1fb zenon_H2d5 zenon_H2d1 zenon_H282 zenon_H2d0 zenon_H2c2 zenon_H253 zenon_H261 zenon_H24d zenon_H1f4 zenon_H1fc zenon_H274 zenon_H1e5 zenon_H266 zenon_H1ca zenon_H25d zenon_H28b zenon_H1ac zenon_H1b zenon_H2bb zenon_H2bf zenon_H23d zenon_H26a zenon_H270 zenon_H278 zenon_H27a zenon_H27e zenon_H2e3 zenon_H2b7 zenon_H1c2 zenon_H2aa zenon_H2b1 zenon_H2b5 zenon_H2e5. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H22f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H257 ]. % 33.27/33.40 apply (zenon_L128_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2df ]. % 33.27/33.40 apply (zenon_L131_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.27/33.40 exact (zenon_H2e4 zenon_H2e7). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.27/33.40 apply (zenon_L135_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.27/33.40 apply (zenon_L118_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.40 apply (zenon_L435_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.40 apply (zenon_L87_); trivial. % 33.27/33.40 apply (zenon_L142_); trivial. % 33.27/33.40 apply (zenon_L145_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.27/33.40 apply (zenon_L147_); trivial. % 33.27/33.40 apply (zenon_L148_); trivial. % 33.27/33.40 apply (zenon_L103_); trivial. % 33.27/33.40 (* end of lemma zenon_L437_ *) % 33.27/33.40 assert (zenon_L438_ : (((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e20) (e21)) = (e23)))\/((op2 (e20) (e23)) = (e21)))/\(((~((op2 (e20) (e22)) = (e23)))\/((op2 (e20) (e23)) = (e22)))/\(((~((op2 (e20) (e23)) = (e23)))\/((op2 (e20) (e23)) = (e23)))/\(((~((op2 (e21) (e20)) = (e23)))\/((op2 (e21) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e21) (e22)) = (e23)))\/((op2 (e21) (e23)) = (e22)))/\(((~((op2 (e21) (e23)) = (e23)))\/((op2 (e21) (e23)) = (e23)))/\(((~((op2 (e22) (e20)) = (e23)))\/((op2 (e22) (e23)) = (e20)))/\(((~((op2 (e22) (e21)) = (e23)))\/((op2 (e22) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\(((~((op2 (e22) (e23)) = (e23)))\/((op2 (e22) (e23)) = (e23)))/\(((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))/\(((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))/\(((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (op1 (e10) (e10)) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e10) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e10) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e10) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e10)) = (e10)))\/((op1 (e11) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e11) (e12)) = (e10)))\/((op1 (e11) (e10)) = (e12)))/\(((~((op1 (e11) (e13)) = (e10)))\/((op1 (e11) (e10)) = (e13)))/\(((~((op1 (e12) (e10)) = (e10)))\/((op1 (e12) (e10)) = (e10)))/\(((~((op1 (e12) (e11)) = (e10)))\/((op1 (e12) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\(((~((op1 (e12) (e13)) = (e10)))\/((op1 (e12) (e10)) = (e13)))/\(((~((op1 (e13) (e10)) = (e10)))\/((op1 (e13) (e10)) = (e10)))/\(((~((op1 (e13) (e11)) = (e10)))\/((op1 (e13) (e10)) = (e11)))/\(((~((op1 (e13) (e12)) = (e10)))\/((op1 (e13) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e10) (e11)) = (e11)))\/((op1 (e10) (e11)) = (e11)))/\(((~((op1 (e10) (e12)) = (e11)))\/((op1 (e10) (e11)) = (e12)))/\(((~((op1 (e10) (e13)) = (e11)))\/((op1 (e10) (e11)) = (e13)))/\(((~((op1 (e11) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e10)) = (e11)))\/((op1 (e12) (e11)) = (e10)))/\(((~((op1 (e12) (e11)) = (e11)))\/((op1 (e12) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\(((~((op1 (e12) (e13)) = (e11)))\/((op1 (e12) (e11)) = (e13)))/\(((~((op1 (e13) (e10)) = (e11)))\/((op1 (e13) (e11)) = (e10)))/\(((~((op1 (e13) (e11)) = (e11)))\/((op1 (e13) (e11)) = (e11)))/\(((~((op1 (e13) (e12)) = (e11)))\/((op1 (e13) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))))))))))\/((((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e10) (e11)) = (e12)))\/((op1 (e10) (e12)) = (e11)))/\(((~((op1 (e10) (e12)) = (e12)))\/((op1 (e10) (e12)) = (e12)))/\(((~((op1 (e10) (e13)) = (e12)))\/((op1 (e10) (e12)) = (e13)))/\(((~((op1 (e11) (e10)) = (e12)))\/((op1 (e11) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e11) (e12)) = (e12)))\/((op1 (e11) (e12)) = (e12)))/\(((~((op1 (e11) (e13)) = (e12)))\/((op1 (e11) (e12)) = (e13)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\(((~((op1 (e13) (e10)) = (e12)))\/((op1 (e13) (e12)) = (e10)))/\(((~((op1 (e13) (e11)) = (e12)))\/((op1 (e13) (e12)) = (e11)))/\(((~((op1 (e13) (e12)) = (e12)))\/((op1 (e13) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))))))))))\/(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e10) (e11)) = (e13)))\/((op1 (e10) (e13)) = (e11)))/\(((~((op1 (e10) (e12)) = (e13)))\/((op1 (e10) (e13)) = (e12)))/\(((~((op1 (e10) (e13)) = (e13)))\/((op1 (e10) (e13)) = (e13)))/\(((~((op1 (e11) (e10)) = (e13)))\/((op1 (e11) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e11) (e12)) = (e13)))\/((op1 (e11) (e13)) = (e12)))/\(((~((op1 (e11) (e13)) = (e13)))\/((op1 (e11) (e13)) = (e13)))/\(((~((op1 (e12) (e10)) = (e13)))\/((op1 (e12) (e13)) = (e10)))/\(((~((op1 (e12) (e11)) = (e13)))\/((op1 (e12) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\(((~((op1 (e12) (e13)) = (e13)))\/((op1 (e12) (e13)) = (e13)))/\(((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))/\(((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))/\(((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 33.27/33.40 do 0 intro. intros zenon_H2f3 zenon_H440 zenon_H4a0 zenon_He0 zenon_H490 zenon_H1a zenon_H399 zenon_H1b zenon_H57 zenon_H31 zenon_H13 zenon_H5e zenon_H5d zenon_H81 zenon_Hfe zenon_Hc6 zenon_H8e zenon_H34 zenon_Hbf zenon_Hce zenon_He3 zenon_H76 zenon_Hd2 zenon_H43 zenon_H4c zenon_H3f zenon_Hd8 zenon_H75 zenon_H94 zenon_Ha4 zenon_H9d zenon_Ha2 zenon_Hd5 zenon_Ha3 zenon_H4a1 zenon_H49b zenon_H498 zenon_H31a zenon_H346 zenon_H126 zenon_Hdf zenon_H123 zenon_Hf6 zenon_Haf zenon_H10a zenon_H326 zenon_H89 zenon_H32b zenon_H3a zenon_H12e zenon_H136 zenon_H270 zenon_H1ca zenon_H1c2 zenon_H1a9 zenon_H2f1 zenon_H1bf. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.27/33.40 apply (zenon_L153_); trivial. % 33.27/33.40 apply (zenon_L433_); trivial. % 33.27/33.40 apply (zenon_L154_); trivial. % 33.27/33.40 (* end of lemma zenon_L438_ *) % 33.27/33.40 apply NNPP. intro zenon_G. % 33.27/33.40 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H4ac. zenon_intro zenon_H4ab. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H4ae. zenon_intro zenon_H4ad. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H31f. zenon_intro zenon_H4af. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H4a1. zenon_intro zenon_H4b0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H102. zenon_intro zenon_H4b1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H34c. zenon_intro zenon_H4b2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H4b4. zenon_intro zenon_H4b3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H4b6. zenon_intro zenon_H4b5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H4b8. zenon_intro zenon_H4b7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H116. zenon_intro zenon_H4b9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_Ha4. zenon_intro zenon_H4ba. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_H4bc. zenon_intro zenon_H4bb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4bb). zenon_intro zenon_H4be. zenon_intro zenon_H4bd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_H4c0. zenon_intro zenon_H4bf. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_Ha3. zenon_intro zenon_H5d. % 33.27/33.40 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H75. zenon_intro zenon_H4c1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H353. zenon_intro zenon_H4c2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c2). zenon_intro zenon_H79. zenon_intro zenon_H4c3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4c5. zenon_intro zenon_H4c4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c4). zenon_intro zenon_H346. zenon_intro zenon_H4c6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c6). zenon_intro zenon_H330. zenon_intro zenon_H4c7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H4c9. zenon_intro zenon_H4c8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4c8). zenon_intro zenon_H4cb. zenon_intro zenon_H4ca. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_H4cd. zenon_intro zenon_H4cc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4cc). zenon_intro zenon_H329. zenon_intro zenon_H4ce. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H69. zenon_intro zenon_H4cf. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4cf). zenon_intro zenon_H128. zenon_intro zenon_H4d0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d0). zenon_intro zenon_H32b. zenon_intro zenon_H4d1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H4d3. zenon_intro zenon_H4d2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d2). zenon_intro zenon_H3c8. zenon_intro zenon_H4d4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d4). zenon_intro zenon_H474. zenon_intro zenon_H4d5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d5). zenon_intro zenon_H43b. zenon_intro zenon_H4d6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_H62. zenon_intro zenon_H4d7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_Hce. zenon_intro zenon_H4d8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_H4da. zenon_intro zenon_H4d9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H10a. zenon_intro zenon_H4db. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4dd. zenon_intro zenon_H4dc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_H3d3. zenon_intro zenon_H4de. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4de). zenon_intro zenon_H4e0. zenon_intro zenon_H4df. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4df). zenon_intro zenon_H43. zenon_intro zenon_H4e1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H4a0. zenon_intro zenon_H4e2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e2). zenon_intro zenon_H123. zenon_intro zenon_H4e3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H4e5. zenon_intro zenon_H4e4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_Hf6. zenon_intro zenon_H4e6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H4e8. zenon_intro zenon_H4e7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H12e. zenon_intro zenon_H4e9. % 33.27/33.40 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H4eb. zenon_intro zenon_H4ea. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ea). zenon_intro zenon_H2d0. zenon_intro zenon_H4ec. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ec). zenon_intro zenon_H4ee. zenon_intro zenon_H4ed. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H3ae. zenon_intro zenon_H4ef. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_H27e. zenon_intro zenon_H4f0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H2e9. zenon_intro zenon_H4f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4f7. zenon_intro zenon_H4f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H2bf. zenon_intro zenon_H4f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f8). zenon_intro zenon_H261. zenon_intro zenon_H4f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4fb. zenon_intro zenon_H4fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H4fd. zenon_intro zenon_H4fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4fc). zenon_intro zenon_H4ff. zenon_intro zenon_H4fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H4fe). zenon_intro zenon_H393. zenon_intro zenon_H1c8. % 33.27/33.40 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H501. zenon_intro zenon_H500. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H2e3. zenon_intro zenon_H502. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H223. zenon_intro zenon_H503. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_H4a8. zenon_intro zenon_H504. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H504). zenon_intro zenon_H506. zenon_intro zenon_H505. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H508. zenon_intro zenon_H507. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_H50a. zenon_intro zenon_H509. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H509). zenon_intro zenon_H50c. zenon_intro zenon_H50b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H3e1. zenon_intro zenon_H50d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H2db. zenon_intro zenon_H50e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H228. zenon_intro zenon_H50f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H50f). zenon_intro zenon_H1fc. zenon_intro zenon_H510. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H378. zenon_intro zenon_H511. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H511). zenon_intro zenon_H370. zenon_intro zenon_H512. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H2d5. zenon_intro zenon_H513. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H36c. zenon_intro zenon_H514. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H311. zenon_intro zenon_H515. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H515). zenon_intro zenon_H517. zenon_intro zenon_H516. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H238. zenon_intro zenon_H518. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H518). zenon_intro zenon_H382. zenon_intro zenon_H519. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H2a2. zenon_intro zenon_H51a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H360. zenon_intro zenon_H51b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H367. zenon_intro zenon_H51c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H51e. zenon_intro zenon_H51d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H487. zenon_intro zenon_H51f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H1dd. zenon_intro zenon_H520. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H484. zenon_intro zenon_H521. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H1da. zenon_intro zenon_H522. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H2b7. zenon_intro zenon_H523. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H523). zenon_intro zenon_H45d. zenon_intro zenon_H524. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H270. zenon_intro zenon_H266. % 33.27/33.40 apply (zenon_and_s _ _ ax5). zenon_intro zenon_Hfe. zenon_intro zenon_H525. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H525). zenon_intro zenon_H440. zenon_intro zenon_H526. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H526). zenon_intro zenon_H81. zenon_intro zenon_H527. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H527). zenon_intro zenon_H33. zenon_intro zenon_H528. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H528). zenon_intro zenon_Haf. zenon_intro zenon_H529. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H529). zenon_intro zenon_H89. zenon_intro zenon_H52a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52a). zenon_intro zenon_Hf2. zenon_intro zenon_H52b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52b). zenon_intro zenon_Hd2. zenon_intro zenon_H52c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H11f. zenon_intro zenon_H52d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H450. zenon_intro zenon_H52e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52e). zenon_intro zenon_H530. zenon_intro zenon_H52f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H52f). zenon_intro zenon_Hdd. zenon_intro zenon_H531. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H531). zenon_intro zenon_H3a. zenon_intro zenon_H532. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H532). zenon_intro zenon_Hd5. zenon_intro zenon_H533. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H533). zenon_intro zenon_H3f. zenon_intro zenon_H534. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H534). zenon_intro zenon_Hda. zenon_intro zenon_H535. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H535). zenon_intro zenon_Hdf. zenon_intro zenon_H536. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H9d. zenon_intro zenon_H537. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H3de. zenon_intro zenon_H538. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H538). zenon_intro zenon_H3db. zenon_intro zenon_H539. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H539). zenon_intro zenon_He0. zenon_intro zenon_H53a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H53a). zenon_intro zenon_H326. zenon_intro zenon_H53b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H53b). zenon_intro zenon_H4f. zenon_intro zenon_H53c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H53c). zenon_intro zenon_H53e. zenon_intro zenon_H53d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H53d). zenon_intro zenon_Hb8. zenon_intro zenon_H53f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H53f). zenon_intro zenon_H31a. zenon_intro zenon_H540. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H540). zenon_intro zenon_H49b. zenon_intro zenon_H541. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H541). zenon_intro zenon_H543. zenon_intro zenon_H542. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H542). zenon_intro zenon_H545. zenon_intro zenon_H544. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H544). zenon_intro zenon_H498. zenon_intro zenon_H546. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H546). zenon_intro zenon_Hf9. zenon_intro zenon_H547. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H547). zenon_intro zenon_H549. zenon_intro zenon_H548. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H548). zenon_intro zenon_H54b. zenon_intro zenon_H54a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H54a). zenon_intro zenon_H54d. zenon_intro zenon_H54c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H54c). zenon_intro zenon_H349. zenon_intro zenon_H54e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H550. zenon_intro zenon_H54f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H54f). zenon_intro zenon_Hc6. zenon_intro zenon_H551. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H8e. zenon_intro zenon_H552. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H552). zenon_intro zenon_Hbf. zenon_intro zenon_H553. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H553). zenon_intro zenon_Hdc. zenon_intro zenon_H554. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H554). zenon_intro zenon_H3d8. zenon_intro zenon_H555. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H555). zenon_intro zenon_H557. zenon_intro zenon_H556. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H556). zenon_intro zenon_He3. zenon_intro zenon_H558. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H558). zenon_intro zenon_H94. zenon_intro zenon_H559. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H559). zenon_intro zenon_H57. zenon_intro zenon_H55a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55a). zenon_intro zenon_Hd8. zenon_intro zenon_H55b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55b). zenon_intro zenon_H126. zenon_intro zenon_H4c. % 33.27/33.40 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H1f4. zenon_intro zenon_H55c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55c). zenon_intro zenon_H1ed. zenon_intro zenon_H55d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_H1e5. zenon_intro zenon_H55e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H278. zenon_intro zenon_H55f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H27a. zenon_intro zenon_H560. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H29e. zenon_intro zenon_H561. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H561). zenon_intro zenon_H563. zenon_intro zenon_H562. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H562). zenon_intro zenon_H28b. zenon_intro zenon_H564. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H564). zenon_intro zenon_H2cd. zenon_intro zenon_H565. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H565). zenon_intro zenon_H36a. zenon_intro zenon_H566. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H566). zenon_intro zenon_H24d. zenon_intro zenon_H567. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H567). zenon_intro zenon_H2bb. zenon_intro zenon_H568. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H568). zenon_intro zenon_H21e. zenon_intro zenon_H569. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H569). zenon_intro zenon_H56b. zenon_intro zenon_H56a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H56a). zenon_intro zenon_H56d. zenon_intro zenon_H56c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H2c2. zenon_intro zenon_H56e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H56e). zenon_intro zenon_H388. zenon_intro zenon_H56f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H56f). zenon_intro zenon_H26a. zenon_intro zenon_H570. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H570). zenon_intro zenon_H396. zenon_intro zenon_H571. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H571). zenon_intro zenon_H43e. zenon_intro zenon_H572. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H572). zenon_intro zenon_H2f1. zenon_intro zenon_H573. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H573). zenon_intro zenon_H42d. zenon_intro zenon_H574. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H574). zenon_intro zenon_H1b9. zenon_intro zenon_H575. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H575). zenon_intro zenon_H577. zenon_intro zenon_H576. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H576). zenon_intro zenon_H282. zenon_intro zenon_H578. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H578). zenon_intro zenon_H3b5. zenon_intro zenon_H579. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H579). zenon_intro zenon_H23d. zenon_intro zenon_H57a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H57a). zenon_intro zenon_H57c. zenon_intro zenon_H57b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H57b). zenon_intro zenon_H3b1. zenon_intro zenon_H57d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H57d). zenon_intro zenon_H3aa. zenon_intro zenon_H57e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H57e). zenon_intro zenon_H274. zenon_intro zenon_H57f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H57f). zenon_intro zenon_H581. zenon_intro zenon_H580. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H580). zenon_intro zenon_H583. zenon_intro zenon_H582. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H582). zenon_intro zenon_H35c. zenon_intro zenon_H584. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H584). zenon_intro zenon_H38f. zenon_intro zenon_H585. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H585). zenon_intro zenon_H587. zenon_intro zenon_H586. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H586). zenon_intro zenon_H1ac. zenon_intro zenon_H588. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H588). zenon_intro zenon_H230. zenon_intro zenon_H589. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H589). zenon_intro zenon_H1d0. zenon_intro zenon_H58a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H58a). zenon_intro zenon_H253. zenon_intro zenon_H58b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H58b). zenon_intro zenon_H58d. zenon_intro zenon_H58c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H58c). zenon_intro zenon_H25d. zenon_intro zenon_H58e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H58e). zenon_intro zenon_H2aa. zenon_intro zenon_H58f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H58f). zenon_intro zenon_H2b1. zenon_intro zenon_H590. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H590). zenon_intro zenon_H1c2. zenon_intro zenon_H591. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H591). zenon_intro zenon_H593. zenon_intro zenon_H592. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H592). zenon_intro zenon_H1d7. zenon_intro zenon_H391. % 33.27/33.40 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H70. zenon_intro zenon_H594. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H594). zenon_intro zenon_H322. zenon_intro zenon_H595. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H595). zenon_intro zenon_H597. zenon_intro zenon_H596. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H596). zenon_intro zenon_H599. zenon_intro zenon_H598. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H598). zenon_intro zenon_H15. zenon_intro zenon_Hb4. % 33.27/33.40 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H1b4. zenon_intro zenon_H59a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H59a). zenon_intro zenon_H44e. zenon_intro zenon_H59b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H59b). zenon_intro zenon_H59d. zenon_intro zenon_H59c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H59c). zenon_intro zenon_H363. zenon_intro zenon_H59e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H59e). zenon_intro zenon_H59f. zenon_intro zenon_H374. % 33.27/33.40 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H76. zenon_intro zenon_H5a0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a0). zenon_intro zenon_H6a. zenon_intro zenon_H5a1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a1). zenon_intro zenon_Ha2. zenon_intro zenon_H5a2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a2). zenon_intro zenon_H5e. zenon_intro zenon_H136. % 33.27/33.40 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H2e4. zenon_intro zenon_H5a3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a3). zenon_intro zenon_H1fb. zenon_intro zenon_H5a4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a4). zenon_intro zenon_H262. zenon_intro zenon_H5a5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a5). zenon_intro zenon_H1ca. zenon_intro zenon_H5a6. % 33.27/33.40 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H34. zenon_intro zenon_H5a7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a7). zenon_intro zenon_H31. zenon_intro zenon_H13. % 33.27/33.40 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H1b. zenon_intro zenon_H5a8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a8). zenon_intro zenon_H1a9. zenon_intro zenon_H1bf. % 33.27/33.40 apply (zenon_and_s _ _ ax14). zenon_intro zenon_H21. zenon_intro zenon_H5a9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5a9). zenon_intro zenon_H1a. zenon_intro zenon_H5aa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H5aa). zenon_intro zenon_H334. zenon_intro zenon_H399. % 33.27/33.40 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H5ac. zenon_intro zenon_H5ab. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5ac); [ zenon_intro zenon_H5ae | zenon_intro zenon_H5ad ]. % 33.27/33.40 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H5ae. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H399. % 33.27/33.40 cut (((op2 (e20) (e20)) = (op2 (h1 (e10)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5af]. % 33.27/33.40 cut (((h1 (e13)) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5b0]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [ zenon_intro zenon_H5b1 | zenon_intro zenon_H5b2 ]. % 33.27/33.40 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10)))) = ((h1 (e13)) = (h1 (op1 (e10) (e10))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H5b0. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H5b1. % 33.27/33.40 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5b2]. % 33.27/33.40 cut (((h1 (op1 (e10) (e10))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5b3]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 33.27/33.40 congruence. % 33.27/33.40 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.27/33.40 apply zenon_H5b2. apply refl_equal. % 33.27/33.40 apply zenon_H5b2. apply refl_equal. % 33.27/33.40 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 33.27/33.40 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 33.27/33.40 congruence. % 33.27/33.40 apply zenon_H466. apply sym_equal. exact zenon_H21. % 33.27/33.40 apply zenon_H466. apply sym_equal. exact zenon_H21. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5ad); [ zenon_intro zenon_H1e | zenon_intro zenon_H5b4 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_L100_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L126_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.40 apply (zenon_L149_); trivial. % 33.27/33.40 apply (zenon_L152_); trivial. % 33.27/33.40 apply (zenon_L155_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5b4); [ zenon_intro zenon_H336 | zenon_intro zenon_H5b7 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H36d | zenon_intro zenon_H22d ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H312 | zenon_intro zenon_H2da ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H42c | zenon_intro zenon_H37b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.27/33.40 apply (zenon_L156_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.27/33.40 exact (zenon_H36d zenon_H276). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.40 apply (zenon_L205_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.40 apply (zenon_L87_); trivial. % 33.27/33.40 apply (zenon_L96_); trivial. % 33.27/33.40 exact (zenon_H42c zenon_H2d8). % 33.27/33.40 apply (zenon_L97_); trivial. % 33.27/33.40 apply (zenon_L206_); trivial. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_L127_); trivial. % 33.27/33.40 apply (zenon_L209_); trivial. % 33.27/33.40 apply (zenon_L99_); trivial. % 33.27/33.40 apply (zenon_L119_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.27/33.40 apply (zenon_L123_); trivial. % 33.27/33.40 apply (zenon_L211_); trivial. % 33.27/33.40 apply (zenon_L125_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.40 apply (zenon_L216_); trivial. % 33.27/33.40 apply (zenon_L152_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2be | zenon_intro zenon_H1cf ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.27/33.40 apply (zenon_L153_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H26f | zenon_intro zenon_H1c1 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.27/33.40 apply (zenon_L226_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.27/33.40 apply (zenon_L228_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.27/33.40 apply (zenon_L230_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.27/33.40 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H87 | zenon_intro zenon_H4b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H12d | zenon_intro zenon_H51 ]. % 33.27/33.40 apply (zenon_L79_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H56 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ]. % 33.27/33.40 exact (zenon_H2e4 zenon_H2e7). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H275 | zenon_intro zenon_H2e8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.40 apply (zenon_L232_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.40 apply (zenon_L87_); trivial. % 33.27/33.40 apply (zenon_L94_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2da | zenon_intro zenon_H2de ]. % 33.27/33.40 apply (zenon_L223_); trivial. % 33.27/33.40 apply (zenon_L225_); trivial. % 33.27/33.40 apply (zenon_L14_); trivial. % 33.27/33.40 apply (zenon_L52_); trivial. % 33.27/33.40 apply (zenon_L80_); trivial. % 33.27/33.40 apply (zenon_L91_); trivial. % 33.27/33.40 apply (zenon_L154_); trivial. % 33.27/33.40 apply (zenon_L93_); trivial. % 33.27/33.40 apply (zenon_L233_); trivial. % 33.27/33.40 apply (zenon_L234_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5b7); [ zenon_intro zenon_H39b | zenon_intro zenon_H5b8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_L238_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.27/33.40 apply (zenon_L123_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H380 | zenon_intro zenon_H2d4 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H281 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H381 | zenon_intro zenon_H2ed ]. % 33.27/33.40 apply (zenon_L210_); trivial. % 33.27/33.40 apply (zenon_L243_); trivial. % 33.27/33.40 apply (zenon_L122_); trivial. % 33.27/33.40 apply (zenon_L191_); trivial. % 33.27/33.40 apply (zenon_L125_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.40 apply (zenon_L248_); trivial. % 33.27/33.40 apply (zenon_L152_); trivial. % 33.27/33.40 apply (zenon_L249_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5b8); [ zenon_intro zenon_H3bd | zenon_intro zenon_H5b9 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_L265_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L267_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_L268_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L269_); trivial. % 33.27/33.40 apply (zenon_L233_); trivial. % 33.27/33.40 apply (zenon_L234_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5b9); [ zenon_intro zenon_H406 | zenon_intro zenon_H5ba ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H36d | zenon_intro zenon_H22d ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H312 | zenon_intro zenon_H2da ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H42c | zenon_intro zenon_H37b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H28c | zenon_intro zenon_H2dc ]. % 33.27/33.40 apply (zenon_L156_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H276 | zenon_intro zenon_H2dd ]. % 33.27/33.40 exact (zenon_H36d zenon_H276). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H254 | zenon_intro zenon_H2d8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.40 apply (zenon_L279_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.40 apply (zenon_L87_); trivial. % 33.27/33.40 apply (zenon_L96_); trivial. % 33.27/33.40 exact (zenon_H42c zenon_H2d8). % 33.27/33.40 apply (zenon_L97_); trivial. % 33.27/33.40 apply (zenon_L206_); trivial. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_L127_); trivial. % 33.27/33.40 apply (zenon_L209_); trivial. % 33.27/33.40 apply (zenon_L99_); trivial. % 33.27/33.40 apply (zenon_L119_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.27/33.40 apply (zenon_L123_); trivial. % 33.27/33.40 apply (zenon_L280_); trivial. % 33.27/33.40 apply (zenon_L125_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.40 apply (zenon_L281_); trivial. % 33.27/33.40 apply (zenon_L152_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1e2 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H252 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L284_); trivial. % 33.27/33.40 apply (zenon_L233_); trivial. % 33.27/33.40 apply (zenon_L234_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5ba); [ zenon_intro zenon_H412 | zenon_intro zenon_H5bb ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_L293_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L294_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.27/33.40 apply (zenon_L151_); trivial. % 33.27/33.40 apply (zenon_L295_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H301. zenon_intro zenon_H300. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H303. zenon_intro zenon_H302. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H305. zenon_intro zenon_H304. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H2ef. zenon_intro zenon_H310. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1b2 ]. % 33.27/33.40 apply zenon_H1c0. apply sym_equal. exact zenon_H1bf. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1cc ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H1bb ]. % 33.27/33.40 apply (zenon_L153_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.27/33.40 apply (zenon_L119_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L286_); trivial. % 33.27/33.40 apply (zenon_L233_); trivial. % 33.27/33.40 apply (zenon_L20_); trivial. % 33.27/33.40 apply (zenon_L21_); trivial. % 33.27/33.40 apply (zenon_L28_); trivial. % 33.27/33.40 apply (zenon_L29_); trivial. % 33.27/33.40 apply (zenon_L30_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.27/33.40 apply (zenon_L296_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.27/33.40 apply (zenon_L171_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.27/33.40 apply (zenon_L291_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.27/33.40 apply (zenon_L119_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.27/33.40 exact (zenon_H1fb zenon_H21d). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.27/33.40 apply (zenon_L285_); trivial. % 33.27/33.40 apply (zenon_L89_); trivial. % 33.27/33.40 apply (zenon_L172_); trivial. % 33.27/33.40 apply (zenon_L173_); trivial. % 33.27/33.40 apply (zenon_L297_); trivial. % 33.27/33.40 apply (zenon_L154_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5bb); [ zenon_intro zenon_H41f | zenon_intro zenon_H5bc ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_L309_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L311_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_L315_); trivial. % 33.27/33.40 apply (zenon_L323_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H14 | zenon_intro zenon_H5bf ]. % 33.27/33.40 apply (zenon_L2_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5bf); [ zenon_intro zenon_H35 | zenon_intro zenon_H5c0 ]. % 33.27/33.40 apply (zenon_L7_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H88 ]. % 33.27/33.40 cut (((h1 (e11)) = (op2 (op2 (op2 (e20) (e20)) (e20)) (e20))) = ((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H5be. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H1a. % 33.27/33.40 cut (((op2 (op2 (op2 (e20) (e20)) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5c1]. % 33.27/33.40 cut (((h1 (e11)) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5c2]. % 33.27/33.40 congruence. % 33.27/33.40 elim (classic ((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [ zenon_intro zenon_H5c3 | zenon_intro zenon_H5c4 ]. % 33.27/33.40 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10)))) = ((h1 (e11)) = (h1 (op1 (e12) (e10))))). % 33.27/33.40 intro zenon_D_pnotp. % 33.27/33.40 apply zenon_H5c2. % 33.27/33.40 rewrite <- zenon_D_pnotp. % 33.27/33.40 exact zenon_H5c3. % 33.27/33.40 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H5c4]. % 33.27/33.40 cut (((h1 (op1 (e12) (e10))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H5c5]. % 33.27/33.40 congruence. % 33.27/33.40 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 33.27/33.40 congruence. % 33.27/33.40 exact (zenon_Hcd zenon_Hd0). % 33.27/33.40 apply zenon_H5c4. apply refl_equal. % 33.27/33.40 apply zenon_H5c4. apply refl_equal. % 33.27/33.40 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H466]. % 33.27/33.40 cut (((op2 (op2 (e20) (e20)) (e20)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5c6]. % 33.27/33.40 congruence. % 33.27/33.40 apply zenon_H5c6. apply sym_equal. exact zenon_H334. % 33.27/33.40 apply zenon_H466. apply sym_equal. exact zenon_H21. % 33.27/33.40 apply (zenon_L21_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5bd); [ zenon_intro zenon_H42f | zenon_intro zenon_H5c7 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H36d | zenon_intro zenon_H22d ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H312 | zenon_intro zenon_H2da ]. % 33.27/33.40 apply (zenon_L329_); trivial. % 33.27/33.40 apply (zenon_L209_); trivial. % 33.27/33.40 apply (zenon_L119_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L330_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_L331_); trivial. % 33.27/33.40 apply (zenon_L343_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5c7); [ zenon_intro zenon_H443 | zenon_intro zenon_H5c8 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.27/33.40 apply (zenon_L195_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.27/33.40 apply (zenon_L351_); trivial. % 33.27/33.40 apply (zenon_L192_); trivial. % 33.27/33.40 apply (zenon_L127_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_L353_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.40 apply (zenon_L354_); trivial. % 33.27/33.40 apply (zenon_L357_); trivial. % 33.27/33.40 apply (zenon_notand_s _ _ zenon_H5c8); [ zenon_intro zenon_H458 | zenon_intro zenon_H5c9 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H13c. zenon_intro zenon_H13b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13e. zenon_intro zenon_H13d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H152. zenon_intro zenon_H151. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H154. zenon_intro zenon_H153. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_Ha1. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H77 | zenon_intro zenon_H14 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb3 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H32a | zenon_intro zenon_H35 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H64 | zenon_intro zenon_Haa ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H44 | zenon_intro zenon_H48 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H45 | zenon_intro zenon_H88 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H46 | zenon_intro zenon_H80 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.27/33.40 apply (zenon_L195_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.27/33.40 apply (zenon_L366_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.27/33.40 exact (zenon_H1de zenon_H1e2). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.27/33.40 exact (zenon_H1df zenon_H1e3). % 33.27/33.40 exact (zenon_H1c9 zenon_H1cc). % 33.27/33.40 apply (zenon_L192_); trivial. % 33.27/33.40 apply (zenon_L20_); trivial. % 33.27/33.40 apply (zenon_L21_); trivial. % 33.27/33.40 apply (zenon_L28_); trivial. % 33.27/33.40 apply (zenon_L29_); trivial. % 33.27/33.40 apply (zenon_L30_); trivial. % 33.27/33.40 apply (zenon_L7_); trivial. % 33.27/33.40 apply (zenon_L31_); trivial. % 33.27/33.40 apply (zenon_L2_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_H158. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H107. zenon_intro zenon_H15c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H108. zenon_intro zenon_H15d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H105. zenon_intro zenon_H15e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H106. zenon_intro zenon_H161. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_He8. zenon_intro zenon_H164. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hcc. zenon_intro zenon_H165. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H167. zenon_intro zenon_H166. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H169. zenon_intro zenon_H168. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hea. zenon_intro zenon_H16e. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H39 | zenon_intro zenon_Hfb ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 33.27/33.40 apply (zenon_L54_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.27/33.40 apply (zenon_L195_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.27/33.40 apply (zenon_L367_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.27/33.40 exact (zenon_H1de zenon_H1e2). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.27/33.40 exact (zenon_H1df zenon_H1e3). % 33.27/33.40 exact (zenon_H1c9 zenon_H1cc). % 33.27/33.40 apply (zenon_L192_); trivial. % 33.27/33.40 apply (zenon_L60_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H172. zenon_intro zenon_H171. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H17c. zenon_intro zenon_H17b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H182. zenon_intro zenon_H181. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12b. zenon_intro zenon_H189. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H111. zenon_intro zenon_H18c. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H40 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H3b ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H33d | zenon_intro zenon_H316 ]. % 33.27/33.40 apply (zenon_L171_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H67 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H40c | zenon_intro zenon_H3c ]. % 33.27/33.40 apply (zenon_L291_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H41e | zenon_intro zenon_H317 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H42b | zenon_intro zenon_H3ce ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_Hae | zenon_intro zenon_H68 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.27/33.40 apply (zenon_L195_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.27/33.40 apply (zenon_L370_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.27/33.40 exact (zenon_H1de zenon_H1e2). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.27/33.40 exact (zenon_H1df zenon_H1e3). % 33.27/33.40 exact (zenon_H1c9 zenon_H1cc). % 33.27/33.40 apply (zenon_L192_); trivial. % 33.27/33.40 apply (zenon_L78_); trivial. % 33.27/33.40 apply (zenon_L302_); trivial. % 33.27/33.40 apply (zenon_L157_); trivial. % 33.27/33.40 apply (zenon_L275_); trivial. % 33.27/33.40 apply (zenon_L172_); trivial. % 33.27/33.40 apply (zenon_L173_); trivial. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H135. zenon_intro zenon_H18d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H18f. zenon_intro zenon_H18e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H191. zenon_intro zenon_H190. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H193. zenon_intro zenon_H192. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H195. zenon_intro zenon_H194. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H19b. zenon_intro zenon_H19a. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a1. zenon_intro zenon_H1a0. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H133. zenon_intro zenon_H1a4. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H134. zenon_intro zenon_H1a5. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H12c. zenon_intro zenon_H1a6. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H55 | zenon_intro zenon_H6e ]. % 33.27/33.40 apply zenon_H55. apply sym_equal. exact zenon_H13. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H101 | zenon_intro zenon_H3df ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H34d | zenon_intro zenon_H50 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H327 ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3ca | zenon_intro zenon_H3cd ]. % 33.27/33.40 apply (zenon_L257_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3dc ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H3d2 | zenon_intro zenon_Hbe ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H352 | zenon_intro zenon_H110 ]. % 33.27/33.40 apply (zenon_L259_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1ec | zenon_intro zenon_H368 ]. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H2bc | zenon_intro zenon_H369 ]. % 33.27/33.40 apply (zenon_L195_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H257 | zenon_intro zenon_H25c ]. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1e0 ]. % 33.27/33.40 apply (zenon_L371_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 33.27/33.40 exact (zenon_H1de zenon_H1e2). % 33.27/33.40 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1cc ]. % 33.27/33.40 exact (zenon_H1df zenon_H1e3). % 33.27/33.40 exact (zenon_H1c9 zenon_H1cc). % 33.27/33.40 apply (zenon_L192_); trivial. % 33.27/33.40 apply (zenon_L33_); trivial. % 33.27/33.40 apply (zenon_L263_); trivial. % 33.27/33.40 apply (zenon_L182_); trivial. % 33.27/33.40 apply (zenon_L80_); trivial. % 33.27/33.40 apply (zenon_L264_); trivial. % 33.27/33.40 apply (zenon_L97_); trivial. % 33.27/33.40 apply (zenon_L98_); trivial. % 33.27/33.40 apply (zenon_L127_); trivial. % 33.27/33.40 apply (zenon_L99_); trivial. % 33.27/33.40 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 33.27/33.40 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H37f. zenon_intro zenon_H3ef. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.27/33.41 apply (zenon_L123_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H380 | zenon_intro zenon_H2d4 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H381 | zenon_intro zenon_H2ed ]. % 33.27/33.41 apply (zenon_L210_); trivial. % 33.27/33.41 apply (zenon_L376_); trivial. % 33.27/33.41 apply (zenon_L191_); trivial. % 33.27/33.41 apply (zenon_L125_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.41 apply (zenon_L381_); trivial. % 33.27/33.41 apply (zenon_L152_); trivial. % 33.27/33.41 apply (zenon_L384_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5c9); [ zenon_intro zenon_H460 | zenon_intro zenon_H5ca ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hec | zenon_intro zenon_Hf7 ]. % 33.27/33.41 apply (zenon_L385_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf8 ]. % 33.27/33.41 apply (zenon_L53_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H98 | zenon_intro zenon_H56 ]. % 33.27/33.41 apply (zenon_L26_); trivial. % 33.27/33.41 apply (zenon_L14_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5ca); [ zenon_intro zenon_H46e | zenon_intro zenon_H5cb ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H271 ]. % 33.27/33.41 apply (zenon_L97_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24a | zenon_intro zenon_H272 ]. % 33.27/33.41 apply (zenon_L398_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H269 | zenon_intro zenon_H1ce ]. % 33.27/33.41 apply (zenon_L194_); trivial. % 33.27/33.41 exact (zenon_H1ca zenon_H1ce). % 33.27/33.41 apply (zenon_L127_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.41 apply (zenon_L399_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.41 apply (zenon_L402_); trivial. % 33.27/33.41 apply (zenon_L404_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5cb); [ zenon_intro zenon_H47e | zenon_intro zenon_H5cc ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H313 | zenon_intro zenon_H29f ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.27/33.41 apply (zenon_L119_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.27/33.41 exact (zenon_H1fb zenon_H21d). % 33.27/33.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 33.27/33.41 apply (zenon_L411_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1ab | zenon_intro zenon_H23b ]. % 33.27/33.41 apply (zenon_L87_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22f | zenon_intro zenon_H1cf ]. % 33.27/33.41 apply (zenon_L103_); trivial. % 33.27/33.41 apply (zenon_L93_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.41 exact (zenon_H1fb zenon_H21d). % 33.27/33.41 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.41 apply (zenon_L87_); trivial. % 33.27/33.41 apply (zenon_L96_); trivial. % 33.27/33.41 apply (zenon_L92_); trivial. % 33.27/33.41 apply (zenon_L97_); trivial. % 33.27/33.41 apply (zenon_L98_); trivial. % 33.27/33.41 apply (zenon_L127_); trivial. % 33.27/33.41 apply (zenon_L99_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.41 apply (zenon_L413_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.41 apply (zenon_L414_); trivial. % 33.27/33.41 apply (zenon_L422_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5cc); [ zenon_intro zenon_H490 | zenon_intro zenon_H5cd ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5a6); [ zenon_intro zenon_H1fa | zenon_intro zenon_H5b5 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H200. zenon_intro zenon_H1ff. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H202. zenon_intro zenon_H201. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H204. zenon_intro zenon_H203. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H206. zenon_intro zenon_H205. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H208. zenon_intro zenon_H207. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H212. zenon_intro zenon_H211. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H214. zenon_intro zenon_H213. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f3 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ec ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1e4 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 33.27/33.41 apply (zenon_L119_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H21d | zenon_intro zenon_H22e ]. % 33.27/33.41 exact (zenon_H1fb zenon_H21d). % 33.27/33.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ba ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H20 | zenon_intro zenon_H21b ]. % 33.27/33.41 apply (zenon_L435_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 33.27/33.41 exact (zenon_H1fb zenon_H21d). % 33.27/33.41 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1d6 ]. % 33.27/33.41 apply (zenon_L87_); trivial. % 33.27/33.41 apply (zenon_L96_); trivial. % 33.27/33.41 apply (zenon_L92_); trivial. % 33.27/33.41 apply (zenon_L97_); trivial. % 33.27/33.41 apply (zenon_L98_); trivial. % 33.27/33.41 apply (zenon_L99_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H28e | zenon_intro zenon_H5b6 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H288. zenon_intro zenon_H295. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28a. zenon_intro zenon_H296. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H289. zenon_intro zenon_H29b. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H273. zenon_intro zenon_H29c. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H236. zenon_intro zenon_H29d. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H224 | zenon_intro zenon_H28c ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H225 | zenon_intro zenon_H20 ]. % 33.27/33.41 apply (zenon_L123_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H227 | zenon_intro zenon_H276 ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H226 | zenon_intro zenon_H24e ]. % 33.27/33.41 apply (zenon_L436_); trivial. % 33.27/33.41 apply (zenon_L117_); trivial. % 33.27/33.41 apply (zenon_L121_); trivial. % 33.27/33.41 apply (zenon_L125_); trivial. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H5b6); [ zenon_intro zenon_H3f0 | zenon_intro zenon_H2f3 ]. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H38c. zenon_intro zenon_H3f5. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3ba. zenon_intro zenon_H3f6. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H3f8. zenon_intro zenon_H3f7. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H2ee. zenon_intro zenon_H3f9. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H38d. zenon_intro zenon_H3fa. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2e1. zenon_intro zenon_H3ff. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H401. zenon_intro zenon_H400. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2e5. zenon_intro zenon_H402. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H2e2. zenon_intro zenon_H403. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H38b. zenon_intro zenon_H404. % 33.27/33.41 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H2b5. zenon_intro zenon_H405. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H21f ]. % 33.27/33.41 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ea | zenon_intro zenon_H220 ]. % 33.27/33.41 apply (zenon_L151_); trivial. % 33.27/33.41 apply (zenon_L437_); trivial. % 33.27/33.41 apply (zenon_L152_); trivial. % 33.27/33.41 apply (zenon_L438_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5cd); [ zenon_intro zenon_H5cf | zenon_intro zenon_H5ce ]. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5cf). zenon_intro zenon_H2e. zenon_intro zenon_H5d0. % 33.27/33.41 exact (zenon_H2e zenon_H21). % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5ce); [ zenon_intro zenon_H5d2 | zenon_intro zenon_H5d1 ]. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5d2). zenon_intro zenon_H5d4. zenon_intro zenon_H5d3. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5d3). zenon_intro zenon_H19. zenon_intro zenon_H5d5. % 33.27/33.41 apply (zenon_L3_); trivial. % 33.27/33.41 apply (zenon_notand_s _ _ zenon_H5d1); [ zenon_intro zenon_H5d7 | zenon_intro zenon_H5d6 ]. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5d7). zenon_intro zenon_H5d9. zenon_intro zenon_H5d8. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5d8). zenon_intro zenon_H5db. zenon_intro zenon_H5da. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5da). zenon_intro zenon_H333. zenon_intro zenon_H5dc. % 33.27/33.41 apply (zenon_L166_); trivial. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5d6). zenon_intro zenon_H5de. zenon_intro zenon_H5dd. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5dd). zenon_intro zenon_H5e0. zenon_intro zenon_H5df. % 33.27/33.41 apply (zenon_notor_s _ _ zenon_H5df). zenon_intro zenon_H5e1. zenon_intro zenon_H398. % 33.27/33.41 apply (zenon_L235_); trivial. % 33.27/33.41 Qed. % 33.27/33.41 % SZS output end Proof % 33.27/33.41 (* END-PROOF *) % 33.27/33.41 nodes searched: 1390907 % 33.27/33.41 max branch formulas: 1926 % 33.27/33.41 proof nodes created: 16214 % 33.27/33.41 formulas created: 701509 % 33.27/33.41 %------------------------------------------------------------------------------