%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 18:29:25 EDT 2022 % Result : Theorem 49.12s 49.37s % Output : Proof 49.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 02:22:04 EDT 2022 % 0.12/0.33 % CPUTime : % 49.12/49.37 (* PROOF-FOUND *) % 49.12/49.37 % SZS status Theorem % 49.12/49.37 (* BEGIN-PROOF *) % 49.12/49.37 % SZS output start Proof % 49.12/49.37 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))))))))))))))))))))))))))). % 49.12/49.37 Proof. % 49.12/49.37 assert (zenon_L1_ : (~((h3 (e10)) = (e20))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14. % 49.12/49.37 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (e10)) = (e20))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H12. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H13. % 49.12/49.37 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 49.12/49.37 cut (((h3 (e10)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H16. apply refl_equal. % 49.12/49.37 apply zenon_H15. apply sym_equal. exact zenon_H14. % 49.12/49.37 (* end of lemma zenon_L1_ *) % 49.12/49.37 assert (zenon_L2_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H18 zenon_H19. % 49.12/49.37 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H19. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H1a. % 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H1c. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H17. % 49.12/49.37 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 49.12/49.37 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H1b. apply refl_equal. % 49.12/49.37 apply zenon_H1d. apply sym_equal. exact zenon_H18. % 49.12/49.37 apply zenon_H1b. apply refl_equal. % 49.12/49.37 apply zenon_H1b. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L2_ *) % 49.12/49.37 assert (zenon_L3_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H1e zenon_H1f zenon_H20. % 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H22. apply sym_equal. exact zenon_H20. % 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f. % 49.12/49.37 (* end of lemma zenon_L3_ *) % 49.12/49.37 assert (zenon_L4_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H23 zenon_H24 zenon_H25 zenon_H1f zenon_H20. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H23. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.37 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ]. % 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e13) = (op1 (e10) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H26. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H27. % 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 49.12/49.37 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H29 zenon_H25). % 49.12/49.37 apply zenon_H28. apply refl_equal. % 49.12/49.37 apply zenon_H28. apply refl_equal. % 49.12/49.37 apply (zenon_L3_); trivial. % 49.12/49.37 (* end of lemma zenon_L4_ *) % 49.12/49.37 assert (zenon_L5_ : (~((e10) = (e10))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H2a. % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L5_ *) % 49.12/49.37 assert (zenon_L6_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d. % 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.37 cut (((e13) = (e13)) = ((e10) = (e13))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H2d. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2e. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H30. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2b. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H31 zenon_H2c). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L6_ *) % 49.12/49.37 assert (zenon_L7_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H32 zenon_H1f zenon_H20 zenon_H33. % 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H33. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H34. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H36. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.37 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H37. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H34. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H38 zenon_H32). % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 apply (zenon_L3_); trivial. % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L7_ *) % 49.12/49.37 assert (zenon_L8_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H39 zenon_H1f zenon_H20 zenon_H3a. % 49.12/49.37 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H3a. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H3b. % 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H3d. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.37 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H3e. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H3b. % 49.12/49.37 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.12/49.37 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H3f zenon_H39). % 49.12/49.37 apply zenon_H3c. apply refl_equal. % 49.12/49.37 apply zenon_H3c. apply refl_equal. % 49.12/49.37 apply (zenon_L3_); trivial. % 49.12/49.37 apply zenon_H3c. apply refl_equal. % 49.12/49.37 apply zenon_H3c. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L8_ *) % 49.12/49.37 assert (zenon_L9_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H40 zenon_H23 zenon_H2d zenon_H2b zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.12/49.37 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.12/49.37 apply (zenon_L4_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.12/49.37 apply (zenon_L6_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.12/49.37 apply (zenon_L7_); trivial. % 49.12/49.37 apply (zenon_L8_); trivial. % 49.12/49.37 (* end of lemma zenon_L9_ *) % 49.12/49.37 assert (zenon_L10_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e10)) = (e10)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H43 zenon_H1f zenon_H44. % 49.12/49.37 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H43. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H1f. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.37 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e10) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H46. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H34. % 49.12/49.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 49.12/49.37 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H47 zenon_H44). % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 apply zenon_H35. apply refl_equal. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L10_ *) % 49.12/49.37 assert (zenon_L11_ : (~((e12) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H48. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L11_ *) % 49.12/49.37 assert (zenon_L12_ : (~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H49 zenon_H1f. % 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f. % 49.12/49.37 (* end of lemma zenon_L12_ *) % 49.12/49.37 assert (zenon_L13_ : (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H4a zenon_H20 zenon_H4b zenon_H1f. % 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H4a. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H20. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 49.12/49.37 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ]. % 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e11) = (op1 (e10) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H4c. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H27. % 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 49.12/49.37 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H4d zenon_H4b). % 49.12/49.37 apply zenon_H28. apply refl_equal. % 49.12/49.37 apply zenon_H28. apply refl_equal. % 49.12/49.37 apply (zenon_L12_); trivial. % 49.12/49.37 (* end of lemma zenon_L13_ *) % 49.12/49.37 assert (zenon_L14_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H4e zenon_H4f. % 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H4f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H50. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((e11) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H52. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H17. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H53 zenon_H4e). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L14_ *) % 49.12/49.37 assert (zenon_L15_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H17 zenon_H54 zenon_H2d. % 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.37 cut (((e13) = (e13)) = ((e10) = (e13))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H2d. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2e. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e11)) = (e10)) = ((e13) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H30. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H17. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H55 zenon_H54). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L15_ *) % 49.12/49.37 assert (zenon_L16_ : (~((e11) = (e11))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H51. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L16_ *) % 49.12/49.37 assert (zenon_L17_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H56 zenon_H57 zenon_H58. % 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H58. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2e. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((e13) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H59. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H56. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H5a zenon_H57). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L17_ *) % 49.12/49.37 assert (zenon_L18_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H33 zenon_H20 zenon_H5b zenon_H1f. % 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H33. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H20. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 49.12/49.37 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 49.12/49.37 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e11) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H5c. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H5d. % 49.12/49.37 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 49.12/49.37 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H5f zenon_H5b). % 49.12/49.37 apply zenon_H5e. apply refl_equal. % 49.12/49.37 apply zenon_H5e. apply refl_equal. % 49.12/49.37 apply (zenon_L12_); trivial. % 49.12/49.37 (* end of lemma zenon_L18_ *) % 49.12/49.37 assert (zenon_L19_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H60 zenon_H61 zenon_H4f. % 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H4f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H50. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H52. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H60. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H62 zenon_H61). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L19_ *) % 49.12/49.37 assert (zenon_L20_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H63 zenon_H56 zenon_H64. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H63. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H56. % 49.12/49.37 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H66. apply refl_equal. % 49.12/49.37 apply zenon_H65. apply sym_equal. exact zenon_H64. % 49.12/49.37 (* end of lemma zenon_L20_ *) % 49.12/49.37 assert (zenon_L21_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H56 zenon_H4e zenon_H67. % 49.12/49.37 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H67. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H68. % 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H69. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H56. % 49.12/49.37 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H66. apply refl_equal. % 49.12/49.37 apply zenon_H6a. apply sym_equal. exact zenon_H4e. % 49.12/49.37 apply zenon_H66. apply refl_equal. % 49.12/49.37 apply zenon_H66. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L21_ *) % 49.12/49.37 assert (zenon_L22_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H20 zenon_H6b zenon_H1f zenon_H6c. % 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H6c. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H6d. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H6f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H20. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 49.12/49.37 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e11) = (op1 (e12) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H70. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H6d. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H71 zenon_H6b). % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply (zenon_L12_); trivial. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L22_ *) % 49.12/49.37 assert (zenon_L23_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H23 zenon_H72 zenon_H73. % 49.12/49.37 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H23. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H72. % 49.12/49.37 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 49.12/49.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H28. apply refl_equal. % 49.12/49.37 apply zenon_H74. apply sym_equal. exact zenon_H73. % 49.12/49.37 (* end of lemma zenon_L23_ *) % 49.12/49.37 assert (zenon_L24_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H60 zenon_H75 zenon_H76. % 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.37 cut (((e12) = (e12)) = ((e10) = (e12))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H76. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H77. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e11) (e11)) = (e10)) = ((e12) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H78. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H60. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H79 zenon_H75). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L24_ *) % 49.12/49.37 assert (zenon_L25_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H7a zenon_H1f zenon_H20 zenon_H7b. % 49.12/49.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H7b. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H7c. % 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H7e. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.37 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H7f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H7c. % 49.12/49.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 49.12/49.37 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H80]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H80 zenon_H7a). % 49.12/49.37 apply zenon_H7d. apply refl_equal. % 49.12/49.37 apply zenon_H7d. apply refl_equal. % 49.12/49.37 apply (zenon_L3_); trivial. % 49.12/49.37 apply zenon_H7d. apply refl_equal. % 49.12/49.37 apply zenon_H7d. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L25_ *) % 49.12/49.37 assert (zenon_L26_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H24 zenon_H81 zenon_H1f zenon_H20 zenon_H82. % 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H82. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H83. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H85. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.37 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H86]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H86. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H83. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H87 zenon_H81). % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply (zenon_L3_); trivial. % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L26_ *) % 49.12/49.37 assert (zenon_L27_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H88 zenon_H89 zenon_H20. % 49.12/49.37 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H22. apply sym_equal. exact zenon_H20. % 49.12/49.37 exact (zenon_H8a zenon_H89). % 49.12/49.37 (* end of lemma zenon_L27_ *) % 49.12/49.37 assert (zenon_L28_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H8b zenon_H24 zenon_H8c zenon_H89 zenon_H20. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H8b. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 49.12/49.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H8d. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H8e. % 49.12/49.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.12/49.37 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H90 zenon_H8c). % 49.12/49.37 apply zenon_H8f. apply refl_equal. % 49.12/49.37 apply zenon_H8f. apply refl_equal. % 49.12/49.37 apply (zenon_L27_); trivial. % 49.12/49.37 (* end of lemma zenon_L28_ *) % 49.12/49.37 assert (zenon_L29_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H91 zenon_H92 zenon_H76. % 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.37 cut (((e12) = (e12)) = ((e10) = (e12))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H76. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H77. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e13) (e10)) = (e10)) = ((e12) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H78. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H91. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H93 zenon_H92). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L29_ *) % 49.12/49.37 assert (zenon_L30_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H94 zenon_H95 zenon_H96. % 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H96. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H77. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e13) (e11)) = (e11)) = ((e12) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H97. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H94. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H98 zenon_H95). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L30_ *) % 49.12/49.37 assert (zenon_L31_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H99 zenon_H9a zenon_H9b. % 49.12/49.37 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H99. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H9a. % 49.12/49.37 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply zenon_H9c. apply sym_equal. exact zenon_H9b. % 49.12/49.37 (* end of lemma zenon_L31_ *) % 49.12/49.37 assert (zenon_L32_ : (~((e13) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H2f. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L32_ *) % 49.12/49.37 assert (zenon_L33_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H9d zenon_H8c zenon_H9e. % 49.12/49.37 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.12/49.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.12/49.37 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H9e. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Ha5. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Ha7. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Ha3. % 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 49.12/49.37 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Ha8. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Ha5. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.12/49.37 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H8d. apply sym_equal. exact zenon_H8c. % 49.12/49.37 apply zenon_Ha6. apply refl_equal. % 49.12/49.37 apply zenon_Ha6. apply refl_equal. % 49.12/49.37 apply zenon_H8d. apply sym_equal. exact zenon_H8c. % 49.12/49.37 apply zenon_Ha6. apply refl_equal. % 49.12/49.37 apply zenon_Ha6. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L33_ *) % 49.12/49.37 assert (zenon_L34_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Haa zenon_Hab. % 49.12/49.37 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_Hac. apply sym_equal. exact zenon_Hab. % 49.12/49.37 (* end of lemma zenon_L34_ *) % 49.12/49.37 assert (zenon_L35_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Had zenon_Hae zenon_Hab zenon_Haf. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.12/49.37 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hae. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hb4. % 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.12/49.37 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hb7. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hb8. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 49.12/49.37 congruence. % 49.12/49.37 apply (zenon_L34_); trivial. % 49.12/49.37 apply zenon_Hb9. apply refl_equal. % 49.12/49.37 apply zenon_Hb9. apply refl_equal. % 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.12/49.37 (* end of lemma zenon_L35_ *) % 49.12/49.37 assert (zenon_L36_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hba zenon_H1f zenon_Hbb. % 49.12/49.37 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hbc]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_Hbc zenon_Hbb). % 49.12/49.37 apply zenon_H21. apply sym_equal. exact zenon_H1f. % 49.12/49.37 (* end of lemma zenon_L36_ *) % 49.12/49.37 assert (zenon_L37_ : (((op1 (e10) (op1 (e12) (e10))) = (e10))/\(((op1 (e11) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\((op1 (e13) (op1 (e12) (e13))) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hbd zenon_H24 zenon_Hbe zenon_H1f zenon_H6c. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hbb. zenon_intro zenon_Hc3. % 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H6c. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H6d. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H6f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H24. % 49.12/49.37 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 49.12/49.37 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hc4. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H6d. % 49.12/49.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.37 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_Hc5 zenon_Hbe). % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply (zenon_L36_); trivial. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 apply zenon_H6e. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L37_ *) % 49.12/49.37 assert (zenon_L38_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hc6 zenon_Hc7 zenon_Haf zenon_Hc8. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.12/49.37 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hc7. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hce. % 49.12/49.37 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 49.12/49.37 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd0]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hd0. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hd1. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8. % 49.12/49.37 (* end of lemma zenon_L38_ *) % 49.12/49.37 assert (zenon_L39_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8. % 49.12/49.37 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.37 apply (zenon_L33_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.37 apply (zenon_L35_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.37 apply (zenon_L37_); trivial. % 49.12/49.37 apply (zenon_L38_); trivial. % 49.12/49.37 (* end of lemma zenon_L39_ *) % 49.12/49.37 assert (zenon_L40_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.12/49.37 apply (zenon_L29_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.12/49.37 apply (zenon_L30_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.12/49.37 apply (zenon_L31_); trivial. % 49.12/49.37 apply (zenon_L39_); trivial. % 49.12/49.37 (* end of lemma zenon_L40_ *) % 49.12/49.37 assert (zenon_L41_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.12/49.37 apply (zenon_L17_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.12/49.37 apply (zenon_L26_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.12/49.37 apply (zenon_L28_); trivial. % 49.12/49.37 apply (zenon_L40_); trivial. % 49.12/49.37 (* end of lemma zenon_L41_ *) % 49.12/49.37 assert (zenon_L42_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e11) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H94 zenon_Hdc zenon_H58. % 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H58. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2e. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e13) (e11)) = (e11)) = ((e13) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H59. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H94. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_Hdd zenon_Hdc). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L42_ *) % 49.12/49.37 assert (zenon_L43_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hab zenon_Hde zenon_H96. % 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H96. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H77. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e11) (e13)) = (e11)) = ((e12) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H97. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hab. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_Hdf zenon_Hde). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L43_ *) % 49.12/49.37 assert (zenon_L44_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e10)) -> False). % 49.12/49.37 do 0 intro. intros zenon_He0 zenon_H1f zenon_He1. % 49.12/49.37 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_He0. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H1f. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.37 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H83 | zenon_intro zenon_H84 ]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_He2. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H83. % 49.12/49.37 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 49.12/49.37 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_He3]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_He3 zenon_He1). % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply zenon_H84. apply refl_equal. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L44_ *) % 49.12/49.37 assert (zenon_L45_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H56 zenon_He4 zenon_H96. % 49.12/49.37 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.37 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H96. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H77. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e11)) = ((e12) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H97. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H56. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_He5 zenon_He4). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L45_ *) % 49.12/49.37 assert (zenon_L46_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e11) = (e13))) -> False). % 49.12/49.37 do 0 intro. intros zenon_He6 zenon_H8c zenon_H58. % 49.12/49.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.37 cut (((e13) = (e13)) = ((e11) = (e13))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H58. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H2e. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e10) (e13)) = (e11)) = ((e13) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H59. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_He6. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_H90 zenon_H8c). % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L46_ *) % 49.12/49.37 assert (zenon_L47_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> (~((e10) = (e11))) -> False). % 49.12/49.37 do 0 intro. intros zenon_He7 zenon_Hab zenon_H4f. % 49.12/49.37 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 49.12/49.37 cut (((e11) = (e11)) = ((e10) = (e11))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H4f. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H50. % 49.12/49.37 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.12/49.37 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e11) (e13)) = (e10)) = ((e11) = (e10))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_H52. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_He7. % 49.12/49.37 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.37 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_He8 zenon_Hab). % 49.12/49.37 apply zenon_H2a. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 apply zenon_H51. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L47_ *) % 49.12/49.37 assert (zenon_L48_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_H20 zenon_He9 zenon_H1f zenon_Hea. % 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hea. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hd1. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Heb. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_H20. % 49.12/49.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 49.12/49.37 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hec]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hec. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hd1. % 49.12/49.37 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.37 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 49.12/49.37 congruence. % 49.12/49.37 exact (zenon_Hed zenon_He9). % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 apply (zenon_L12_); trivial. % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 apply zenon_Hd2. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L48_ *) % 49.12/49.37 assert (zenon_L49_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_Had zenon_H9a zenon_He0. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.12/49.37 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ]. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_He0. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hee. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((op1 (e12) (op1 (e11) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hef. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hb5. % 49.12/49.37 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 49.12/49.37 cut (((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ]. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e11) (e12))) = (op1 (e12) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hf1. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hee. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.37 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 49.12/49.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H48. apply refl_equal. % 49.12/49.37 apply zenon_Hf0. apply sym_equal. exact zenon_H9a. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 apply zenon_Hf0. apply sym_equal. exact zenon_H9a. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 apply zenon_H45. apply refl_equal. % 49.12/49.37 (* end of lemma zenon_L49_ *) % 49.12/49.37 assert (zenon_L50_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hc6 zenon_Hae zenon_Hf3 zenon_Haf. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.12/49.37 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.12/49.37 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hae. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hcd. % 49.12/49.37 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.12/49.37 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 49.12/49.37 congruence. % 49.12/49.37 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))). % 49.12/49.37 intro zenon_D_pnotp. % 49.12/49.37 apply zenon_Hf4. % 49.12/49.37 rewrite <- zenon_D_pnotp. % 49.12/49.37 exact zenon_Hb8. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.12/49.37 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 49.12/49.37 congruence. % 49.12/49.37 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 49.12/49.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.37 congruence. % 49.12/49.37 apply zenon_H2f. apply refl_equal. % 49.12/49.37 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3. % 49.12/49.37 apply zenon_Hb9. apply refl_equal. % 49.12/49.37 apply zenon_Hb9. apply refl_equal. % 49.12/49.37 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.12/49.37 (* end of lemma zenon_L50_ *) % 49.12/49.37 assert (zenon_L51_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.37 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf. % 49.12/49.37 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.37 apply (zenon_L33_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.37 apply (zenon_L49_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.37 apply (zenon_L37_); trivial. % 49.12/49.37 apply (zenon_L50_); trivial. % 49.12/49.37 (* end of lemma zenon_L51_ *) % 49.12/49.37 assert (zenon_L52_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.12/49.37 apply (zenon_L46_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.12/49.37 apply (zenon_L47_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.12/49.37 apply (zenon_L48_); trivial. % 49.12/49.37 apply (zenon_L51_); trivial. % 49.12/49.37 (* end of lemma zenon_L52_ *) % 49.12/49.37 assert (zenon_L53_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 49.12/49.37 do 0 intro. intros zenon_Hd9 zenon_H56 zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.12/49.37 apply (zenon_L17_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.12/49.37 apply (zenon_L26_); trivial. % 49.12/49.37 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.12/49.37 apply (zenon_L28_); trivial. % 49.12/49.38 apply (zenon_L52_); trivial. % 49.12/49.38 (* end of lemma zenon_L53_ *) % 49.12/49.38 assert (zenon_L54_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hfa zenon_H8c zenon_Hfb. % 49.12/49.38 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hfa. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H8c. % 49.12/49.38 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H8f. apply refl_equal. % 49.12/49.38 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb. % 49.12/49.38 (* end of lemma zenon_L54_ *) % 49.12/49.38 assert (zenon_L55_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hfd zenon_H33 zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H82 zenon_H56 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.12/49.38 apply (zenon_L7_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.12/49.38 apply (zenon_L53_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.12/49.38 apply (zenon_L28_); trivial. % 49.12/49.38 apply (zenon_L54_); trivial. % 49.12/49.38 (* end of lemma zenon_L55_ *) % 49.12/49.38 assert (zenon_L56_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H100 zenon_H101 zenon_H20. % 49.12/49.38 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H22. apply sym_equal. exact zenon_H20. % 49.12/49.38 exact (zenon_H102 zenon_H101). % 49.12/49.38 (* end of lemma zenon_L56_ *) % 49.12/49.38 assert (zenon_L57_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H63 zenon_H24 zenon_H57 zenon_H101 zenon_H20. % 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H63. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H24. % 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ]. % 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H103. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H68. % 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.12/49.38 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H5a zenon_H57). % 49.12/49.38 apply zenon_H66. apply refl_equal. % 49.12/49.38 apply zenon_H66. apply refl_equal. % 49.12/49.38 apply (zenon_L56_); trivial. % 49.12/49.38 (* end of lemma zenon_L57_ *) % 49.12/49.38 assert (zenon_L58_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H24 zenon_Haf zenon_H101 zenon_H20 zenon_H99. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H99. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H106. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H24. % 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 49.12/49.38 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e13) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hb6. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H107 zenon_Haf). % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply (zenon_L56_); trivial. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L58_ *) % 49.12/49.38 assert (zenon_L59_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H8c zenon_H8b zenon_H24 zenon_H101 zenon_H20 zenon_H99. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.12/49.38 apply (zenon_L57_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.12/49.38 apply (zenon_L26_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.12/49.38 apply (zenon_L28_); trivial. % 49.12/49.38 apply (zenon_L58_); trivial. % 49.12/49.38 (* end of lemma zenon_L59_ *) % 49.12/49.38 assert (zenon_L60_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H9b zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ]. % 49.12/49.38 apply (zenon_L44_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ]. % 49.12/49.38 apply (zenon_L20_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ]. % 49.12/49.38 apply (zenon_L31_); trivial. % 49.12/49.38 apply (zenon_L26_); trivial. % 49.12/49.38 (* end of lemma zenon_L60_ *) % 49.12/49.38 assert (zenon_L61_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.12/49.38 apply (zenon_L45_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.12/49.38 apply (zenon_L55_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.12/49.38 apply (zenon_L59_); trivial. % 49.12/49.38 apply (zenon_L60_); trivial. % 49.12/49.38 (* end of lemma zenon_L61_ *) % 49.12/49.38 assert (zenon_L62_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H17 zenon_H10e zenon_H76. % 49.12/49.38 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.12/49.38 cut (((e12) = (e12)) = ((e10) = (e12))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H76. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H77. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e10) (e11)) = (e10)) = ((e12) = (e10))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H78. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H17. % 49.12/49.38 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.12/49.38 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H10f zenon_H10e). % 49.12/49.38 apply zenon_H2a. apply refl_equal. % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L62_ *) % 49.12/49.38 assert (zenon_L63_ : ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H110 zenon_H8c zenon_H111. % 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H111. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H2e. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e10) (e13)) = (e12)) = ((e13) = (e12))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H112. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H110. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H90 zenon_H8c). % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L63_ *) % 49.12/49.38 assert (zenon_L64_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H2d zenon_H17 zenon_H58 zenon_H56 zenon_H110 zenon_H111. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.12/49.38 apply (zenon_L4_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.12/49.38 apply (zenon_L15_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.12/49.38 apply (zenon_L17_); trivial. % 49.12/49.38 apply (zenon_L63_); trivial. % 49.12/49.38 (* end of lemma zenon_L64_ *) % 49.12/49.38 assert (zenon_L65_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H1f zenon_H116 zenon_H117. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H117. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H118. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H1f. % 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.38 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H119. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11a]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H11a zenon_H116). % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H45. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L65_ *) % 49.12/49.38 assert (zenon_L66_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H99 zenon_H64 zenon_H11b. % 49.12/49.38 cut (((op1 (e11) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H99. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H64. % 49.12/49.38 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 49.12/49.38 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H84. apply refl_equal. % 49.12/49.38 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 49.12/49.38 (* end of lemma zenon_L66_ *) % 49.12/49.38 assert (zenon_L67_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H11d zenon_H57 zenon_Haf. % 49.12/49.38 cut (((op1 (e10) (e12)) = (e13)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H11d. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H57. % 49.12/49.38 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.12/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H66. apply refl_equal. % 49.12/49.38 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.12/49.38 (* end of lemma zenon_L67_ *) % 49.12/49.38 assert (zenon_L68_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H11e zenon_H117 zenon_H1f zenon_H64 zenon_H9a zenon_H99 zenon_H11d zenon_H57. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H116 | zenon_intro zenon_H11f ]. % 49.12/49.38 apply (zenon_L65_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11b | zenon_intro zenon_H120 ]. % 49.12/49.38 apply (zenon_L66_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H9b | zenon_intro zenon_Haf ]. % 49.12/49.38 apply (zenon_L31_); trivial. % 49.12/49.38 apply (zenon_L67_); trivial. % 49.12/49.38 (* end of lemma zenon_L68_ *) % 49.12/49.38 assert (zenon_L69_ : ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> False). % 49.12/49.38 do 0 intro. intros zenon_He4 zenon_H57 zenon_H111. % 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H111. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H2e. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e10) (e12)) = (e12)) = ((e13) = (e12))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H112. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_He4. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H5a zenon_H57). % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L69_ *) % 49.12/49.38 assert (zenon_L70_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H20 zenon_H121 zenon_H1f zenon_H122. % 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H122. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H3b. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e11) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H123. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H20. % 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 49.12/49.38 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H124. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H3b. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H125 zenon_H121). % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 apply (zenon_L12_); trivial. % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L70_ *) % 49.12/49.38 assert (zenon_L71_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H9e zenon_He6 zenon_Hf3. % 49.12/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H9e. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_He6. % 49.12/49.38 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H8f. apply refl_equal. % 49.12/49.38 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3. % 49.12/49.38 (* end of lemma zenon_L71_ *) % 49.12/49.38 assert (zenon_L72_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H126 zenon_H122 zenon_H1f zenon_H20 zenon_H58 zenon_Hdc zenon_H64 zenon_H99 zenon_H9e zenon_He6. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.12/49.38 apply (zenon_L70_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.12/49.38 apply (zenon_L42_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.12/49.38 apply (zenon_L66_); trivial. % 49.12/49.38 apply (zenon_L71_); trivial. % 49.12/49.38 (* end of lemma zenon_L72_ *) % 49.12/49.38 assert (zenon_L73_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H129 zenon_He6. % 49.12/49.38 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H12a. apply sym_equal. exact zenon_He6. % 49.12/49.38 (* end of lemma zenon_L73_ *) % 49.12/49.38 assert (zenon_L74_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H9d zenon_H12b zenon_He6 zenon_H12c. % 49.12/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.12/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.12/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H12b. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Ha3. % 49.12/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.12/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ]. % 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H12e. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hb8. % 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.12/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 49.12/49.38 congruence. % 49.12/49.38 apply (zenon_L73_); trivial. % 49.12/49.38 apply zenon_Hb9. apply refl_equal. % 49.12/49.38 apply zenon_Hb9. apply refl_equal. % 49.12/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c. % 49.12/49.38 (* end of lemma zenon_L74_ *) % 49.12/49.38 assert (zenon_L75_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Had zenon_Hde zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H11d. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H12f. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hb4. % 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H130. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H132. apply sym_equal. exact zenon_Hde. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L75_ *) % 49.12/49.38 assert (zenon_L76_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_H117 zenon_H9b. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H117. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hce. % 49.12/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_Hee | zenon_intro zenon_H45 ]. % 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H133. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hee. % 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.12/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b. % 49.12/49.38 apply zenon_H45. apply refl_equal. % 49.12/49.38 apply zenon_H45. apply refl_equal. % 49.12/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b. % 49.12/49.38 (* end of lemma zenon_L76_ *) % 49.12/49.38 assert (zenon_L77_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H12c zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.38 apply (zenon_L74_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.38 apply (zenon_L75_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.38 apply (zenon_L37_); trivial. % 49.12/49.38 apply (zenon_L76_); trivial. % 49.12/49.38 (* end of lemma zenon_L77_ *) % 49.12/49.38 assert (zenon_L78_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.12/49.38 apply (zenon_L8_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.12/49.38 apply (zenon_L72_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.12/49.38 apply (zenon_L67_); trivial. % 49.12/49.38 apply (zenon_L77_); trivial. % 49.12/49.38 (* end of lemma zenon_L78_ *) % 49.12/49.38 assert (zenon_L79_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.12/49.38 apply (zenon_L69_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.12/49.38 apply (zenon_L68_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.12/49.38 apply (zenon_L57_); trivial. % 49.12/49.38 apply (zenon_L78_); trivial. % 49.12/49.38 (* end of lemma zenon_L79_ *) % 49.12/49.38 assert (zenon_L80_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H8b zenon_He6 zenon_Hab. % 49.12/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H8b. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_He6. % 49.12/49.38 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 49.12/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H8f. apply refl_equal. % 49.12/49.38 apply zenon_Hac. apply sym_equal. exact zenon_Hab. % 49.12/49.38 (* end of lemma zenon_L80_ *) % 49.12/49.38 assert (zenon_L81_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H2d zenon_H17 zenon_H111 zenon_He4 zenon_He6 zenon_H58. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.12/49.38 apply (zenon_L4_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.12/49.38 apply (zenon_L15_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.12/49.38 apply (zenon_L69_); trivial. % 49.12/49.38 apply (zenon_L46_); trivial. % 49.12/49.38 (* end of lemma zenon_L81_ *) % 49.12/49.38 assert (zenon_L82_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H138 zenon_He7. % 49.12/49.38 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H139. apply sym_equal. exact zenon_He7. % 49.12/49.38 (* end of lemma zenon_L82_ *) % 49.12/49.38 assert (zenon_L83_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 49.12/49.38 do 0 intro. intros zenon_Had zenon_H13a zenon_He7 zenon_H12c. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H13a. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hb4. % 49.12/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.12/49.38 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H13b. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H3b. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.12/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 49.12/49.38 congruence. % 49.12/49.38 apply (zenon_L82_); trivial. % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 apply zenon_H3c. apply refl_equal. % 49.12/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c. % 49.12/49.38 (* end of lemma zenon_L83_ *) % 49.12/49.38 assert (zenon_L84_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.38 apply (zenon_L74_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.38 apply (zenon_L83_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.38 apply (zenon_L37_); trivial. % 49.12/49.38 apply (zenon_L76_); trivial. % 49.12/49.38 (* end of lemma zenon_L84_ *) % 49.12/49.38 assert (zenon_L85_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H58 zenon_H94 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.12/49.38 apply (zenon_L8_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.12/49.38 apply (zenon_L42_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.12/49.38 apply (zenon_L67_); trivial. % 49.12/49.38 apply (zenon_L84_); trivial. % 49.12/49.38 (* end of lemma zenon_L85_ *) % 49.12/49.38 assert (zenon_L86_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H10b zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H11d zenon_H57 zenon_H58 zenon_H20 zenon_H3a zenon_H135 zenon_H64 zenon_H99 zenon_H9e zenon_He6. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.12/49.38 apply (zenon_L81_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.12/49.38 apply (zenon_L68_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.12/49.38 apply (zenon_L57_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.12/49.38 apply (zenon_L70_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.12/49.38 apply (zenon_L85_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.12/49.38 apply (zenon_L66_); trivial. % 49.12/49.38 apply (zenon_L71_); trivial. % 49.12/49.38 (* end of lemma zenon_L86_ *) % 49.12/49.38 assert (zenon_L87_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H13c zenon_H13d zenon_H20. % 49.12/49.38 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 49.12/49.38 cut (((op1 (e12) (op1 (e12) (e12))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H22]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H22. apply sym_equal. exact zenon_H20. % 49.12/49.38 exact (zenon_H13e zenon_H13d). % 49.12/49.38 (* end of lemma zenon_L87_ *) % 49.12/49.38 assert (zenon_L88_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H24 zenon_Hbe zenon_H13d zenon_H20 zenon_H13f. % 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H13f. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H6d. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H140]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H140. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H24. % 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 49.12/49.38 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hc4. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H6d. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_Hc5 zenon_Hbe). % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 apply (zenon_L87_); trivial. % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L88_ *) % 49.12/49.38 assert (zenon_L89_ : ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H95 zenon_Hdc zenon_H111. % 49.12/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.12/49.38 cut (((e13) = (e13)) = ((e12) = (e13))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H111. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H2e. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e13) (e11)) = (e12)) = ((e13) = (e12))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H112. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H95. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_Hdd zenon_Hdc). % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L89_ *) % 49.12/49.38 assert (zenon_L90_ : (~((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H141 zenon_H11b. % 49.12/49.38 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H11c. apply sym_equal. exact zenon_H11b. % 49.12/49.38 (* end of lemma zenon_L90_ *) % 49.12/49.38 assert (zenon_L91_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_H142 zenon_H11b zenon_H95. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H142. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hce. % 49.12/49.38 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 49.12/49.38 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H144. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H6d. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.12/49.38 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 49.12/49.38 congruence. % 49.12/49.38 apply (zenon_L90_); trivial. % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 apply zenon_H6e. apply refl_equal. % 49.12/49.38 apply zenon_H143. apply sym_equal. exact zenon_H95. % 49.12/49.38 (* end of lemma zenon_L91_ *) % 49.12/49.38 assert (zenon_L92_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 49.12/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H111 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H142 zenon_H11b zenon_H95. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.12/49.38 apply (zenon_L8_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.12/49.38 apply (zenon_L89_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.12/49.38 apply (zenon_L67_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.38 apply (zenon_L74_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.38 apply (zenon_L83_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.38 apply (zenon_L37_); trivial. % 49.12/49.38 apply (zenon_L91_); trivial. % 49.12/49.38 (* end of lemma zenon_L92_ *) % 49.12/49.38 assert (zenon_L93_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H24 zenon_H145 zenon_H1f zenon_H20 zenon_H146. % 49.12/49.38 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H146. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H147. % 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e13)) = (op1 (e11) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H149. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H24. % 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.12/49.38 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e13) = (op1 (e11) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H14a. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H147. % 49.12/49.38 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 49.12/49.38 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H14b zenon_H145). % 49.12/49.38 apply zenon_H148. apply refl_equal. % 49.12/49.38 apply zenon_H148. apply refl_equal. % 49.12/49.38 apply (zenon_L3_); trivial. % 49.12/49.38 apply zenon_H148. apply refl_equal. % 49.12/49.38 apply zenon_H148. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L93_ *) % 49.12/49.38 assert (zenon_L94_ : (((op1 (e10) (op1 (e12) (e10))) = (e10))/\(((op1 (e11) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\((op1 (e13) (op1 (e12) (e13))) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hbd zenon_H24 zenon_Hfb zenon_H1f zenon_Hea. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hc0. zenon_intro zenon_Hbf. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hbb. zenon_intro zenon_Hc3. % 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hea. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hd1. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Heb. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H24. % 49.12/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hba]. % 49.12/49.38 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hfc. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hd1. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 49.12/49.38 congruence. % 49.12/49.38 exact (zenon_H14c zenon_Hfb). % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 apply (zenon_L36_); trivial. % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L94_ *) % 49.12/49.38 assert (zenon_L95_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hc6 zenon_Hc8 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H11d. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H12f. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hcd. % 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 49.12/49.38 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e12)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H14d. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_H104. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.12/49.38 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 49.12/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H2f. apply refl_equal. % 49.12/49.38 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 apply zenon_H105. apply refl_equal. % 49.12/49.38 (* end of lemma zenon_L95_ *) % 49.12/49.38 assert (zenon_L96_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.12/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.12/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.12/49.38 cut (((op1 (e12) (op1 (e10) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_Hc7. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Ha4. % 49.12/49.38 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 49.12/49.38 cut (((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 49.12/49.38 congruence. % 49.12/49.38 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e10) (e12))) = (op1 (e12) (e13)))). % 49.12/49.38 intro zenon_D_pnotp. % 49.12/49.38 apply zenon_H14f. % 49.12/49.38 rewrite <- zenon_D_pnotp. % 49.12/49.38 exact zenon_Hd1. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.12/49.38 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 49.12/49.38 congruence. % 49.12/49.38 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 49.12/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.12/49.38 congruence. % 49.12/49.38 apply zenon_H48. apply refl_equal. % 49.12/49.38 apply zenon_H103. apply sym_equal. exact zenon_H57. % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 apply zenon_Hd2. apply refl_equal. % 49.12/49.38 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.38 apply (zenon_L49_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.38 apply (zenon_L94_); trivial. % 49.12/49.38 apply (zenon_L95_); trivial. % 49.12/49.38 (* end of lemma zenon_L96_ *) % 49.12/49.38 assert (zenon_L97_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.12/49.38 apply (zenon_L29_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.12/49.38 apply (zenon_L89_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.12/49.38 apply (zenon_L31_); trivial. % 49.12/49.38 apply (zenon_L96_); trivial. % 49.12/49.38 (* end of lemma zenon_L97_ *) % 49.12/49.38 assert (zenon_L98_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.12/49.38 apply (zenon_L74_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.12/49.38 apply (zenon_L83_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.12/49.38 apply (zenon_L37_); trivial. % 49.12/49.38 apply (zenon_L95_); trivial. % 49.12/49.38 (* end of lemma zenon_L98_ *) % 49.12/49.38 assert (zenon_L99_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.12/49.38 apply (zenon_L46_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.12/49.38 apply (zenon_L93_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.12/49.38 apply (zenon_L97_); trivial. % 49.12/49.38 apply (zenon_L98_); trivial. % 49.12/49.38 (* end of lemma zenon_L99_ *) % 49.12/49.38 assert (zenon_L100_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.12/49.38 do 0 intro. intros zenon_H11b zenon_H142 zenon_H135 zenon_H3a zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H20 zenon_H146 zenon_H58 zenon_H151 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.12/49.38 apply (zenon_L29_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.12/49.38 apply (zenon_L92_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.12/49.38 apply (zenon_L31_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.12/49.38 apply (zenon_L8_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.12/49.38 apply (zenon_L99_); trivial. % 49.12/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.12/49.38 apply (zenon_L67_); trivial. % 49.12/49.38 apply (zenon_L98_); trivial. % 49.12/49.38 (* end of lemma zenon_L100_ *) % 49.12/49.38 assert (zenon_L101_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H108 zenon_H11b zenon_H11d zenon_H57 zenon_Hfb zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ]. % 49.22/49.38 apply (zenon_L44_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ]. % 49.22/49.38 apply (zenon_L66_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ]. % 49.22/49.38 apply (zenon_L97_); trivial. % 49.22/49.38 apply (zenon_L26_); trivial. % 49.22/49.38 (* end of lemma zenon_L101_ *) % 49.22/49.38 assert (zenon_L102_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_H146 zenon_H82 zenon_H20 zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_Hea zenon_H57 zenon_H11d zenon_H11b zenon_H108 zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.38 apply (zenon_L46_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.38 apply (zenon_L93_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.38 apply (zenon_L101_); trivial. % 49.22/49.38 apply (zenon_L84_); trivial. % 49.22/49.38 (* end of lemma zenon_L102_ *) % 49.22/49.38 assert (zenon_L103_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H154 zenon_H7b zenon_H142 zenon_H24 zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H20 zenon_H3a zenon_H135 zenon_H13f zenon_H10b zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H58 zenon_H99 zenon_H9e zenon_H155 zenon_H95 zenon_H111. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.22/49.38 apply (zenon_L17_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.22/49.38 apply (zenon_L86_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.22/49.38 apply (zenon_L88_); trivial. % 49.22/49.38 apply (zenon_L92_); trivial. % 49.22/49.38 apply (zenon_L89_); trivial. % 49.22/49.38 (* end of lemma zenon_L103_ *) % 49.22/49.38 assert (zenon_L104_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H24 zenon_H12c zenon_H89 zenon_H20 zenon_H15a. % 49.22/49.38 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H15a. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_Ha5. % 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H15b. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H24. % 49.22/49.38 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 49.22/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.22/49.38 congruence. % 49.22/49.38 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e13) = (op1 (e13) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H12d. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_Ha5. % 49.22/49.38 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.22/49.38 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 49.22/49.38 congruence. % 49.22/49.38 exact (zenon_H15c zenon_H12c). % 49.22/49.38 apply zenon_Ha6. apply refl_equal. % 49.22/49.38 apply zenon_Ha6. apply refl_equal. % 49.22/49.38 apply (zenon_L27_); trivial. % 49.22/49.38 apply zenon_Ha6. apply refl_equal. % 49.22/49.38 apply zenon_Ha6. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L104_ *) % 49.22/49.38 assert (zenon_L105_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H151 zenon_H58 zenon_He6 zenon_H146 zenon_H11d zenon_H57 zenon_Hc8 zenon_H1f zenon_Hea zenon_H9a zenon_He0 zenon_Hc7 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.38 apply (zenon_L46_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.38 apply (zenon_L93_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.38 apply (zenon_L96_); trivial. % 49.22/49.38 apply (zenon_L104_); trivial. % 49.22/49.38 (* end of lemma zenon_L105_ *) % 49.22/49.38 assert (zenon_L106_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H15a zenon_H20 zenon_H146 zenon_He6 zenon_H58 zenon_H151 zenon_H154 zenon_H7b zenon_H142 zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H3a zenon_H135 zenon_H13f zenon_H10b zenon_H17 zenon_H2d zenon_H23 zenon_H113 zenon_H11e zenon_H63 zenon_H126 zenon_H122 zenon_H117 zenon_H9e zenon_H155 zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_H57 zenon_H11d. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.22/49.38 apply (zenon_L17_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.22/49.38 apply (zenon_L86_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.22/49.38 apply (zenon_L88_); trivial. % 49.22/49.38 apply (zenon_L100_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.38 apply (zenon_L7_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.38 apply (zenon_L29_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.38 apply (zenon_L89_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.38 apply (zenon_L31_); trivial. % 49.22/49.38 apply (zenon_L99_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.38 apply (zenon_L29_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.38 apply (zenon_L103_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.38 apply (zenon_L31_); trivial. % 49.22/49.38 apply (zenon_L105_); trivial. % 49.22/49.38 apply (zenon_L97_); trivial. % 49.22/49.38 (* end of lemma zenon_L106_ *) % 49.22/49.38 assert (zenon_L107_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H155 zenon_H9e zenon_H122 zenon_H126 zenon_H11e zenon_H113 zenon_H23 zenon_H2d zenon_H17 zenon_H10b zenon_H13f zenon_H135 zenon_H3a zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H117 zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_H15a zenon_H146 zenon_He6 zenon_H58 zenon_H151 zenon_H108 zenon_H11b zenon_H11d zenon_H57 zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hdc zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.22/49.38 apply (zenon_L69_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.22/49.38 apply (zenon_L106_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.22/49.38 apply (zenon_L57_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.38 apply (zenon_L7_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.38 apply (zenon_L102_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.38 apply (zenon_L46_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.38 apply (zenon_L93_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.38 apply (zenon_L101_); trivial. % 49.22/49.38 apply (zenon_L104_); trivial. % 49.22/49.38 apply (zenon_L101_); trivial. % 49.22/49.38 (* end of lemma zenon_L107_ *) % 49.22/49.38 assert (zenon_L108_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.22/49.38 do 0 intro. intros zenon_He6 zenon_H110 zenon_H96. % 49.22/49.38 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.22/49.38 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H96. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H77. % 49.22/49.38 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.22/49.38 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e11)) = ((e12) = (e11))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H97. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_He6. % 49.22/49.38 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 49.22/49.38 congruence. % 49.22/49.38 exact (zenon_H15d zenon_H110). % 49.22/49.38 apply zenon_H51. apply refl_equal. % 49.22/49.38 apply zenon_H48. apply refl_equal. % 49.22/49.38 apply zenon_H48. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L108_ *) % 49.22/49.38 assert (zenon_L109_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H15e zenon_H40 zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H11e zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H117 zenon_H6c zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_H108 zenon_H11d zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_H91 zenon_Hd6 zenon_H82 zenon_H15f zenon_H4f zenon_H160 zenon_H8b zenon_H161 zenon_H33 zenon_H3a zenon_H76 zenon_H58 zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H24 zenon_H1f zenon_H20 zenon_H113 zenon_He6 zenon_H96. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.22/49.38 apply (zenon_L4_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.22/49.38 apply (zenon_L4_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.22/49.38 apply (zenon_L6_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.22/49.38 apply (zenon_L18_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.22/49.38 apply (zenon_L19_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.22/49.38 apply (zenon_L23_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.22/49.38 apply (zenon_L24_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.22/49.38 apply (zenon_L68_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_L79_); trivial. % 49.22/49.38 apply (zenon_L72_); trivial. % 49.22/49.38 apply (zenon_L80_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.22/49.38 apply (zenon_L44_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.22/49.38 apply (zenon_L17_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.22/49.38 apply (zenon_L86_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.22/49.38 apply (zenon_L88_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.22/49.38 apply (zenon_L81_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.22/49.38 apply (zenon_L100_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.22/49.38 apply (zenon_L57_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.22/49.38 apply (zenon_L8_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.22/49.38 apply (zenon_L102_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.22/49.38 apply (zenon_L67_); trivial. % 49.22/49.38 apply (zenon_L84_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.22/49.38 apply (zenon_L70_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.22/49.38 apply (zenon_L42_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.22/49.38 apply (zenon_L107_); trivial. % 49.22/49.38 apply (zenon_L71_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.22/49.38 apply (zenon_L7_); trivial. % 49.22/49.38 apply (zenon_L8_); trivial. % 49.22/49.38 apply (zenon_L46_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.22/49.38 apply (zenon_L62_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.22/49.38 apply (zenon_L81_); trivial. % 49.22/49.38 apply (zenon_L108_); trivial. % 49.22/49.38 (* end of lemma zenon_L109_ *) % 49.22/49.38 assert (zenon_L110_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H16a zenon_H19 zenon_H43 zenon_H16b zenon_H4a zenon_Hd9 zenon_Hae zenon_Hf7 zenon_Hfa zenon_H16c zenon_H67 zenon_H15e zenon_H40 zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H11e zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H7b zenon_H154 zenon_H63 zenon_Hfd zenon_H117 zenon_H6c zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_H108 zenon_H11d zenon_Hea zenon_He0 zenon_Hc7 zenon_H99 zenon_Hd6 zenon_H82 zenon_H15f zenon_H4f zenon_H160 zenon_H8b zenon_H161 zenon_H33 zenon_H3a zenon_H76 zenon_H58 zenon_H111 zenon_H17 zenon_H2d zenon_H23 zenon_H24 zenon_H1f zenon_H20 zenon_H113 zenon_H96. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H18 | zenon_intro zenon_H16d ]. % 49.22/49.38 apply (zenon_L2_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H2b | zenon_intro zenon_H16e ]. % 49.22/49.38 apply (zenon_L9_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H44 | zenon_intro zenon_H91 ]. % 49.22/49.38 apply (zenon_L10_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.22/49.38 apply (zenon_L13_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.22/49.38 apply (zenon_L14_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.22/49.38 apply (zenon_L4_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.22/49.38 apply (zenon_L17_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.22/49.38 apply (zenon_L4_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.22/49.38 apply (zenon_L6_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.22/49.38 apply (zenon_L18_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.22/49.38 apply (zenon_L19_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.22/49.38 apply (zenon_L20_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.22/49.38 apply (zenon_L21_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.22/49.38 apply (zenon_L19_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.22/49.38 apply (zenon_L22_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.22/49.38 apply (zenon_L23_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.22/49.38 apply (zenon_L24_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L15_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_L41_); trivial. % 49.22/49.38 apply (zenon_L42_); trivial. % 49.22/49.38 apply (zenon_L43_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.22/49.38 apply (zenon_L44_); trivial. % 49.22/49.38 apply (zenon_L61_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.22/49.38 apply (zenon_L7_); trivial. % 49.22/49.38 apply (zenon_L8_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.22/49.38 apply (zenon_L62_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.22/49.38 apply (zenon_L45_); trivial. % 49.22/49.38 apply (zenon_L64_); trivial. % 49.22/49.38 apply (zenon_L109_); trivial. % 49.22/49.38 (* end of lemma zenon_L110_ *) % 49.22/49.38 assert (zenon_L111_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e12)) = (e10)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H173 zenon_H1f zenon_H174. % 49.22/49.38 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H173. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H1f. % 49.22/49.38 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.22/49.38 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 49.22/49.38 congruence. % 49.22/49.38 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H66 ]. % 49.22/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e10) = (op1 (e10) (e12)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H175. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H68. % 49.22/49.38 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.22/49.38 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 49.22/49.38 congruence. % 49.22/49.38 exact (zenon_H176 zenon_H174). % 49.22/49.38 apply zenon_H66. apply refl_equal. % 49.22/49.38 apply zenon_H66. apply refl_equal. % 49.22/49.38 apply zenon_H45. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L111_ *) % 49.22/49.38 assert (zenon_L112_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H18 zenon_H178. % 49.22/49.38 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H178. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H8e. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H179. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H177. % 49.22/49.38 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.22/49.38 congruence. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 apply zenon_H1d. apply sym_equal. exact zenon_H18. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L112_ *) % 49.22/49.38 assert (zenon_L113_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e11) = (e13))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H4e zenon_H54 zenon_H58. % 49.22/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.22/49.38 cut (((e13) = (e13)) = ((e11) = (e13))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H58. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H2e. % 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.22/49.38 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((op1 (e10) (e11)) = (e11)) = ((e13) = (e11))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H59. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H4e. % 49.22/49.38 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.22/49.38 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 49.22/49.38 congruence. % 49.22/49.38 exact (zenon_H55 zenon_H54). % 49.22/49.38 apply zenon_H51. apply refl_equal. % 49.22/49.38 apply zenon_H2f. apply refl_equal. % 49.22/49.38 apply zenon_H2f. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L113_ *) % 49.22/49.38 assert (zenon_L114_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H17 zenon_H17a. % 49.22/49.38 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H17a. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H8e. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H17b. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H177. % 49.22/49.38 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.22/49.38 congruence. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 apply zenon_H17c. apply sym_equal. exact zenon_H17. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L114_ *) % 49.22/49.38 assert (zenon_L115_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H17d zenon_H177. % 49.22/49.38 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.22/49.38 congruence. % 49.22/49.38 apply zenon_H2f. apply refl_equal. % 49.22/49.38 apply zenon_H17e. apply sym_equal. exact zenon_H177. % 49.22/49.38 (* end of lemma zenon_L115_ *) % 49.22/49.38 assert (zenon_L116_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H9d zenon_H13a zenon_H177 zenon_H12c. % 49.22/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.22/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.22/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H13a. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_Ha3. % 49.22/49.38 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 49.22/49.38 congruence. % 49.22/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H17f. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H3b. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 49.22/49.38 congruence. % 49.22/49.38 apply (zenon_L115_); trivial. % 49.22/49.38 apply zenon_H3c. apply refl_equal. % 49.22/49.38 apply zenon_H3c. apply refl_equal. % 49.22/49.38 apply zenon_H12d. apply sym_equal. exact zenon_H12c. % 49.22/49.38 (* end of lemma zenon_L116_ *) % 49.22/49.38 assert (zenon_L117_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H111 zenon_H11e zenon_H117 zenon_H95 zenon_H142 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_He0 zenon_H13a zenon_H177 zenon_H9a zenon_H99 zenon_H11d zenon_H57. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.22/49.38 apply (zenon_L8_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.22/49.38 apply (zenon_L89_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.22/49.38 apply (zenon_L67_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H116 | zenon_intro zenon_H11f ]. % 49.22/49.38 apply (zenon_L65_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11b | zenon_intro zenon_H120 ]. % 49.22/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.38 apply (zenon_L116_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.38 apply (zenon_L49_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.38 apply (zenon_L37_); trivial. % 49.22/49.38 apply (zenon_L91_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H9b | zenon_intro zenon_Haf ]. % 49.22/49.38 apply (zenon_L31_); trivial. % 49.22/49.38 apply (zenon_L67_); trivial. % 49.22/49.38 (* end of lemma zenon_L117_ *) % 49.22/49.38 assert (zenon_L118_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.38 do 0 intro. intros zenon_Hae zenon_H95 zenon_H9b. % 49.22/49.38 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_Hae. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H95. % 49.22/49.38 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 49.22/49.38 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.22/49.38 congruence. % 49.22/49.38 apply zenon_Hb9. apply refl_equal. % 49.22/49.38 apply zenon_H9c. apply sym_equal. exact zenon_H9b. % 49.22/49.38 (* end of lemma zenon_L118_ *) % 49.22/49.38 assert (zenon_L119_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H154 zenon_H58 zenon_H4e zenon_H7b zenon_Hae zenon_H63 zenon_H24 zenon_H57 zenon_H20 zenon_H135 zenon_H3a zenon_H11e zenon_H117 zenon_H142 zenon_H1f zenon_H6c zenon_He0 zenon_H13a zenon_H177 zenon_H99 zenon_H11d zenon_H10b zenon_H95 zenon_H111. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.38 apply (zenon_L113_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.38 apply (zenon_L25_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.22/49.38 apply (zenon_L69_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.22/49.38 apply (zenon_L117_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.22/49.38 apply (zenon_L57_); trivial. % 49.22/49.38 apply (zenon_L118_); trivial. % 49.22/49.38 apply (zenon_L89_); trivial. % 49.22/49.38 (* end of lemma zenon_L119_ *) % 49.22/49.38 assert (zenon_L120_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H8b zenon_H177 zenon_He7. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H8b. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H177. % 49.22/49.38 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.22/49.38 congruence. % 49.22/49.38 apply zenon_H8f. apply refl_equal. % 49.22/49.38 apply zenon_H139. apply sym_equal. exact zenon_He7. % 49.22/49.38 (* end of lemma zenon_L120_ *) % 49.22/49.38 assert (zenon_L121_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> False). % 49.22/49.38 do 0 intro. intros zenon_H177 zenon_H8c zenon_H2d. % 49.22/49.38 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.22/49.38 cut (((e13) = (e13)) = ((e10) = (e13))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H2d. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H2e. % 49.22/49.38 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.22/49.38 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 49.22/49.38 congruence. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e10)) = ((e13) = (e10))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H30. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H177. % 49.22/49.38 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.22/49.38 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 49.22/49.38 congruence. % 49.22/49.38 exact (zenon_H90 zenon_H8c). % 49.22/49.38 apply zenon_H2a. apply refl_equal. % 49.22/49.38 apply zenon_H2f. apply refl_equal. % 49.22/49.38 apply zenon_H2f. apply refl_equal. % 49.22/49.38 (* end of lemma zenon_L121_ *) % 49.22/49.38 assert (zenon_L122_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 49.22/49.38 do 0 intro. intros zenon_H9d zenon_H180 zenon_H177 zenon_Hdc. % 49.22/49.38 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.22/49.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.22/49.38 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H180. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_Ha3. % 49.22/49.38 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 49.22/49.38 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 49.22/49.38 congruence. % 49.22/49.38 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))). % 49.22/49.38 intro zenon_D_pnotp. % 49.22/49.38 apply zenon_H17f. % 49.22/49.38 rewrite <- zenon_D_pnotp. % 49.22/49.38 exact zenon_H3b. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.22/49.38 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 49.22/49.38 congruence. % 49.22/49.38 apply (zenon_L115_); trivial. % 49.22/49.38 apply zenon_H3c. apply refl_equal. % 49.22/49.38 apply zenon_H3c. apply refl_equal. % 49.22/49.38 apply zenon_H181. apply sym_equal. exact zenon_Hdc. % 49.22/49.38 (* end of lemma zenon_L122_ *) % 49.22/49.38 assert (zenon_L123_ : ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_Hdc zenon_H177 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.38 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.38 apply (zenon_L122_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.38 apply (zenon_L49_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.38 apply (zenon_L94_); trivial. % 49.22/49.38 apply (zenon_L95_); trivial. % 49.22/49.38 (* end of lemma zenon_L123_ *) % 49.22/49.38 assert (zenon_L124_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.38 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_Hdc zenon_H177 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.38 apply (zenon_L29_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.38 apply (zenon_L89_); trivial. % 49.22/49.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.38 apply (zenon_L31_); trivial. % 49.22/49.38 apply (zenon_L123_); trivial. % 49.22/49.38 (* end of lemma zenon_L124_ *) % 49.22/49.38 assert (zenon_L125_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 49.22/49.39 do 0 intro. intros zenon_Had zenon_H12b zenon_Hab zenon_H12c. % 49.22/49.39 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.22/49.39 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.22/49.39 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.22/49.39 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H12b. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_Hb4. % 49.22/49.39 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.22/49.39 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ]. % 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e11)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_Hb7. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_Hb8. % 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.22/49.39 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 49.22/49.39 congruence. % 49.22/49.39 apply (zenon_L34_); trivial. % 49.22/49.39 apply zenon_Hb9. apply refl_equal. % 49.22/49.39 apply zenon_Hb9. apply refl_equal. % 49.22/49.39 apply zenon_H12d. apply sym_equal. exact zenon_H12c. % 49.22/49.39 (* end of lemma zenon_L125_ *) % 49.22/49.39 assert (zenon_L126_ : ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H13a zenon_H12c zenon_Hab zenon_H12b zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.39 apply (zenon_L116_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.39 apply (zenon_L125_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.39 apply (zenon_L37_); trivial. % 49.22/49.39 apply (zenon_L95_); trivial. % 49.22/49.39 (* end of lemma zenon_L126_ *) % 49.22/49.39 assert (zenon_L127_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_Hdc zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H177 zenon_H13a zenon_Hab zenon_H12b zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L124_); trivial. % 49.22/49.39 apply (zenon_L126_); trivial. % 49.22/49.39 (* end of lemma zenon_L127_ *) % 49.22/49.39 assert (zenon_L128_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H12c zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.39 apply (zenon_L116_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.39 apply (zenon_L75_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.39 apply (zenon_L37_); trivial. % 49.22/49.39 apply (zenon_L95_); trivial. % 49.22/49.39 (* end of lemma zenon_L128_ *) % 49.22/49.39 assert (zenon_L129_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_Hdc zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L124_); trivial. % 49.22/49.39 apply (zenon_L128_); trivial. % 49.22/49.39 (* end of lemma zenon_L129_ *) % 49.22/49.39 assert (zenon_L130_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H135 zenon_H3a zenon_Hd6 zenon_H76 zenon_H91 zenon_H111 zenon_H99 zenon_H180 zenon_He0 zenon_H9a zenon_Hea zenon_H20 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H13a zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.22/49.39 apply (zenon_L8_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.22/49.39 apply (zenon_L129_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L67_); trivial. % 49.22/49.39 apply (zenon_L128_); trivial. % 49.22/49.39 (* end of lemma zenon_L130_ *) % 49.22/49.39 assert (zenon_L131_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H182 zenon_H8b zenon_H12b zenon_Hdc zenon_H11d zenon_H57 zenon_Hc8 zenon_Hbe zenon_H6c zenon_H13a zenon_H177 zenon_H151 zenon_H2d zenon_Hea zenon_H9a zenon_He0 zenon_H180 zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H3a zenon_H135 zenon_H24 zenon_H1f zenon_H20 zenon_H146. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ]. % 49.22/49.39 apply (zenon_L120_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ]. % 49.22/49.39 apply (zenon_L127_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ]. % 49.22/49.39 apply (zenon_L130_); trivial. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 (* end of lemma zenon_L131_ *) % 49.22/49.39 assert (zenon_L132_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H24 zenon_Hfb zenon_H89 zenon_H20 zenon_H185. % 49.22/49.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H185. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_Hd1. % 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H186. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H24. % 49.22/49.39 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 49.22/49.39 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_Hfc. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_Hd1. % 49.22/49.39 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.22/49.39 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H14c zenon_Hfb). % 49.22/49.39 apply zenon_Hd2. apply refl_equal. % 49.22/49.39 apply zenon_Hd2. apply refl_equal. % 49.22/49.39 apply (zenon_L27_); trivial. % 49.22/49.39 apply zenon_Hd2. apply refl_equal. % 49.22/49.39 apply zenon_Hd2. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L132_ *) % 49.22/49.39 assert (zenon_L133_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H177 zenon_H146 zenon_H1f zenon_H185 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L132_); trivial. % 49.22/49.39 apply (zenon_L104_); trivial. % 49.22/49.39 (* end of lemma zenon_L133_ *) % 49.22/49.39 assert (zenon_L134_ : ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.39 do 0 intro. intros zenon_Hdc zenon_H177 zenon_H180 zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.39 apply (zenon_L122_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.39 apply (zenon_L75_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.39 apply (zenon_L94_); trivial. % 49.22/49.39 apply (zenon_L76_); trivial. % 49.22/49.39 (* end of lemma zenon_L134_ *) % 49.22/49.39 assert (zenon_L135_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H12c zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.39 apply (zenon_L116_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.39 apply (zenon_L75_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.39 apply (zenon_L37_); trivial. % 49.22/49.39 apply (zenon_L76_); trivial. % 49.22/49.39 (* end of lemma zenon_L135_ *) % 49.22/49.39 assert (zenon_L136_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H151 zenon_H2d zenon_H146 zenon_H20 zenon_Hea zenon_H180 zenon_Hdc zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L134_); trivial. % 49.22/49.39 apply (zenon_L135_); trivial. % 49.22/49.39 (* end of lemma zenon_L136_ *) % 49.22/49.39 assert (zenon_L137_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H135 zenon_H3a zenon_H180 zenon_Hea zenon_H20 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H13a zenon_H11d zenon_H57 zenon_Hde zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.22/49.39 apply (zenon_L8_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.22/49.39 apply (zenon_L136_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L67_); trivial. % 49.22/49.39 apply (zenon_L135_); trivial. % 49.22/49.39 (* end of lemma zenon_L137_ *) % 49.22/49.39 assert (zenon_L138_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H113 zenon_H20 zenon_H1f zenon_H24 zenon_H23 zenon_H58 zenon_H4e zenon_H111 zenon_He4 zenon_H177 zenon_H2d. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.22/49.39 apply (zenon_L4_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.22/49.39 apply (zenon_L113_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.22/49.39 apply (zenon_L69_); trivial. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 (* end of lemma zenon_L138_ *) % 49.22/49.39 assert (zenon_L139_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H160 zenon_H72 zenon_H60 zenon_H182 zenon_H8b zenon_H12b zenon_Hae zenon_H154 zenon_H7b zenon_H10b zenon_H4e zenon_H58 zenon_H23 zenon_H113 zenon_He0 zenon_H99 zenon_H111 zenon_H91 zenon_H76 zenon_Hd6 zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H13a zenon_H15a zenon_H20 zenon_H185 zenon_H146 zenon_H2d zenon_H151 zenon_H177 zenon_H180 zenon_H11d zenon_H57 zenon_Hea zenon_H1f zenon_H24 zenon_H117. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.22/49.39 apply (zenon_L23_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.22/49.39 apply (zenon_L24_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.39 apply (zenon_L113_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.39 apply (zenon_L25_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.39 apply (zenon_L29_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.39 apply (zenon_L119_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.39 apply (zenon_L31_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.22/49.39 apply (zenon_L8_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.22/49.39 apply (zenon_L131_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L67_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ]. % 49.22/49.39 apply (zenon_L120_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ]. % 49.22/49.39 apply (zenon_L126_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ]. % 49.22/49.39 apply (zenon_L128_); trivial. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.39 apply (zenon_L7_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.39 apply (zenon_L29_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.39 apply (zenon_L117_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.39 apply (zenon_L31_); trivial. % 49.22/49.39 apply (zenon_L131_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.39 apply (zenon_L133_); trivial. % 49.22/49.39 apply (zenon_L124_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.22/49.39 apply (zenon_L113_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.22/49.39 apply (zenon_L25_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.22/49.39 apply (zenon_L69_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.39 apply (zenon_L29_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.39 apply (zenon_L117_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.39 apply (zenon_L137_); trivial. % 49.22/49.39 apply (zenon_L130_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.22/49.39 apply (zenon_L57_); trivial. % 49.22/49.39 apply (zenon_L137_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.22/49.39 apply (zenon_L138_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.39 apply (zenon_L7_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.39 apply (zenon_L29_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.39 apply (zenon_L117_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.39 apply (zenon_L31_); trivial. % 49.22/49.39 apply (zenon_L129_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.39 apply (zenon_L133_); trivial. % 49.22/49.39 apply (zenon_L124_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.22/49.39 apply (zenon_L57_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.39 apply (zenon_L7_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.39 apply (zenon_L136_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.39 apply (zenon_L133_); trivial. % 49.22/49.39 apply (zenon_L134_); trivial. % 49.22/49.39 (* end of lemma zenon_L139_ *) % 49.22/49.39 assert (zenon_L140_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e10)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H187 zenon_H1f zenon_H188. % 49.22/49.39 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H187. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1f. % 49.22/49.39 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.22/49.39 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.22/49.39 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H189. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H6d. % 49.22/49.39 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.22/49.39 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H18a zenon_H188). % 49.22/49.39 apply zenon_H6e. apply refl_equal. % 49.22/49.39 apply zenon_H6e. apply refl_equal. % 49.22/49.39 apply zenon_H45. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L140_ *) % 49.22/49.39 assert (zenon_L141_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H180 zenon_H91 zenon_H18b. % 49.22/49.39 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H180. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H91. % 49.22/49.39 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H3c. apply refl_equal. % 49.22/49.39 apply zenon_H18c. apply sym_equal. exact zenon_H18b. % 49.22/49.39 (* end of lemma zenon_L141_ *) % 49.22/49.39 assert (zenon_L142_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H4e zenon_H10e zenon_H96. % 49.22/49.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.22/49.39 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H96. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H77. % 49.22/49.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.22/49.39 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op1 (e10) (e11)) = (e11)) = ((e12) = (e11))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H97. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H4e. % 49.22/49.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.22/49.39 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H10f]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H10f zenon_H10e). % 49.22/49.39 apply zenon_H51. apply refl_equal. % 49.22/49.39 apply zenon_H48. apply refl_equal. % 49.22/49.39 apply zenon_H48. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L142_ *) % 49.22/49.39 assert (zenon_L143_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H110 zenon_H76. % 49.22/49.39 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.22/49.39 cut (((e12) = (e12)) = ((e10) = (e12))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H76. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H77. % 49.22/49.39 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.22/49.39 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op1 (e10) (e13)) = (e10)) = ((e12) = (e10))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H78. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H177. % 49.22/49.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.22/49.39 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H15d zenon_H110). % 49.22/49.39 apply zenon_H2a. apply refl_equal. % 49.22/49.39 apply zenon_H48. apply refl_equal. % 49.22/49.39 apply zenon_H48. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L143_ *) % 49.22/49.39 assert (zenon_L144_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H18d zenon_H54 zenon_Hbe. % 49.22/49.39 cut (((op1 (e10) (e11)) = (e13)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H18d. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H54. % 49.22/49.39 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 49.22/49.39 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H1b. apply refl_equal. % 49.22/49.39 apply zenon_Hc4. apply sym_equal. exact zenon_Hbe. % 49.22/49.39 (* end of lemma zenon_L144_ *) % 49.22/49.39 assert (zenon_L145_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H9d zenon_H18e zenon_H177 zenon_Haf. % 49.22/49.39 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.22/49.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.22/49.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.22/49.39 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H18e. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_Ha3. % 49.22/49.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.22/49.39 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17f]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e10)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H17f. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H3b. % 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.22/49.39 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 49.22/49.39 congruence. % 49.22/49.39 apply (zenon_L115_); trivial. % 49.22/49.39 apply zenon_H3c. apply refl_equal. % 49.22/49.39 apply zenon_H3c. apply refl_equal. % 49.22/49.39 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.22/49.39 (* end of lemma zenon_L145_ *) % 49.22/49.39 assert (zenon_L146_ : ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H177 zenon_H18e zenon_Hab zenon_Hae zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8. % 49.22/49.39 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.22/49.39 apply (zenon_L145_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.22/49.39 apply (zenon_L35_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.22/49.39 apply (zenon_L94_); trivial. % 49.22/49.39 apply (zenon_L38_); trivial. % 49.22/49.39 (* end of lemma zenon_L146_ *) % 49.22/49.39 assert (zenon_L147_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.22/49.39 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H9a zenon_H99 zenon_H177 zenon_H18e zenon_Hab zenon_Hae zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.22/49.39 apply (zenon_L29_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.22/49.39 apply (zenon_L30_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.22/49.39 apply (zenon_L31_); trivial. % 49.22/49.39 apply (zenon_L146_); trivial. % 49.22/49.39 (* end of lemma zenon_L147_ *) % 49.22/49.39 assert (zenon_L148_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Haf zenon_Hc7 zenon_Hfb zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ]. % 49.22/49.39 apply (zenon_L44_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ]. % 49.22/49.39 apply (zenon_L20_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ]. % 49.22/49.39 apply (zenon_L147_); trivial. % 49.22/49.39 apply (zenon_L26_); trivial. % 49.22/49.39 (* end of lemma zenon_L148_ *) % 49.22/49.39 assert (zenon_L149_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hfb zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.22/49.39 apply (zenon_L17_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.22/49.39 apply (zenon_L26_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.22/49.39 apply (zenon_L132_); trivial. % 49.22/49.39 apply (zenon_L148_); trivial. % 49.22/49.39 (* end of lemma zenon_L149_ *) % 49.22/49.39 assert (zenon_L150_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H146 zenon_H2d zenon_H151 zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_Hab zenon_H18e zenon_H177 zenon_H99 zenon_H94 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.22/49.39 apply (zenon_L7_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.22/49.39 apply (zenon_L144_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.22/49.39 apply (zenon_L93_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.22/49.39 apply (zenon_L149_); trivial. % 49.22/49.39 apply (zenon_L104_); trivial. % 49.22/49.39 apply (zenon_L149_); trivial. % 49.22/49.39 (* end of lemma zenon_L150_ *) % 49.22/49.39 assert (zenon_L151_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H15f zenon_H16c zenon_H67 zenon_H4f zenon_H60 zenon_H6c zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H146 zenon_H2d zenon_H151 zenon_Hd9 zenon_H58 zenon_H185 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H177 zenon_H99 zenon_H96 zenon_H91 zenon_H76 zenon_Hd6 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.22/49.39 apply (zenon_L18_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.22/49.39 apply (zenon_L19_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.22/49.39 apply (zenon_L20_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.22/49.39 apply (zenon_L21_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.22/49.39 apply (zenon_L19_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.22/49.39 apply (zenon_L22_); trivial. % 49.22/49.39 apply (zenon_L150_); trivial. % 49.22/49.39 (* end of lemma zenon_L151_ *) % 49.22/49.39 assert (zenon_L152_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e10) = (e11))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H177 zenon_He6 zenon_H4f. % 49.22/49.39 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 49.22/49.39 cut (((e11) = (e11)) = ((e10) = (e11))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H4f. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H50. % 49.22/49.39 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.22/49.39 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op1 (e10) (e13)) = (e10)) = ((e11) = (e10))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H52. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H177. % 49.22/49.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.22/49.39 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H18f zenon_He6). % 49.22/49.39 apply zenon_H2a. apply refl_equal. % 49.22/49.39 apply zenon_H51. apply refl_equal. % 49.22/49.39 apply zenon_H51. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L152_ *) % 49.22/49.39 assert (zenon_L153_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H177 zenon_H4f. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H18 | zenon_intro zenon_H16d ]. % 49.22/49.39 apply (zenon_L112_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H2b | zenon_intro zenon_H16e ]. % 49.22/49.39 apply (zenon_L9_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H44 | zenon_intro zenon_H91 ]. % 49.22/49.39 apply (zenon_L10_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.22/49.39 apply (zenon_L13_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.22/49.39 apply (zenon_L4_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.22/49.39 apply (zenon_L113_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.22/49.39 apply (zenon_L114_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.22/49.39 apply (zenon_L139_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.22/49.39 apply (zenon_L140_); trivial. % 49.22/49.39 apply (zenon_L141_); trivial. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.22/49.39 apply (zenon_L142_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.22/49.39 apply (zenon_L138_); trivial. % 49.22/49.39 apply (zenon_L143_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.22/49.39 apply (zenon_L4_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.22/49.39 apply (zenon_L114_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.22/49.39 apply (zenon_L151_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.22/49.39 apply (zenon_L140_); trivial. % 49.22/49.39 apply (zenon_L141_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.22/49.39 apply (zenon_L17_); trivial. % 49.22/49.39 apply (zenon_L121_); trivial. % 49.22/49.39 apply (zenon_L152_); trivial. % 49.22/49.39 (* end of lemma zenon_L153_ *) % 49.22/49.39 assert (zenon_L154_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H194 zenon_H195. % 49.22/49.39 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H195. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H196. % 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H198. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H193. % 49.22/49.39 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 49.22/49.39 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H197. apply refl_equal. % 49.22/49.39 apply zenon_H199. apply sym_equal. exact zenon_H194. % 49.22/49.39 apply zenon_H197. apply refl_equal. % 49.22/49.39 apply zenon_H197. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L154_ *) % 49.22/49.39 assert (zenon_L155_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19a zenon_H14 zenon_H19b. % 49.22/49.39 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.22/49.39 apply zenon_H15. apply sym_equal. exact zenon_H14. % 49.22/49.39 (* end of lemma zenon_L155_ *) % 49.22/49.39 assert (zenon_L156_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19d zenon_H19e zenon_H19f zenon_H14 zenon_H19b. % 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H19d. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19e. % 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.22/49.39 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a0]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1a0. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a1. % 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 49.22/49.39 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1a3 zenon_H19f). % 49.22/49.39 apply zenon_H1a2. apply refl_equal. % 49.22/49.39 apply zenon_H1a2. apply refl_equal. % 49.22/49.39 apply (zenon_L155_); trivial. % 49.22/49.39 (* end of lemma zenon_L156_ *) % 49.22/49.39 assert (zenon_L157_ : (~((e20) = (e20))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1a4. % 49.22/49.39 apply zenon_H1a4. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L157_ *) % 49.22/49.39 assert (zenon_L158_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e23))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1a5 zenon_H1a6 zenon_H1a7. % 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.22/49.39 cut (((e23) = (e23)) = ((e20) = (e23))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1a7. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a8. % 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.22/49.39 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e21) (e20)) = (e20)) = ((e23) = (e20))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1aa. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a5. % 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.22/49.39 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1ab zenon_H1a6). % 49.22/49.39 apply zenon_H1a4. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L158_ *) % 49.22/49.39 assert (zenon_L159_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19e zenon_H1ac zenon_H14 zenon_H19b zenon_H1ad. % 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1ad. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ae. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1b0. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19e. % 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.22/49.39 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1b1. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ae. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1b2 zenon_H1ac). % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 apply (zenon_L155_); trivial. % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L159_ *) % 49.22/49.39 assert (zenon_L160_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19e zenon_H1b3 zenon_H14 zenon_H19b zenon_H1b4. % 49.22/49.39 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1b4. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1b5. % 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1b7. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19e. % 49.22/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.22/49.39 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1b8. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1b5. % 49.22/49.39 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.22/49.39 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1b9]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1b9 zenon_H1b3). % 49.22/49.39 apply zenon_H1b6. apply refl_equal. % 49.22/49.39 apply zenon_H1b6. apply refl_equal. % 49.22/49.39 apply (zenon_L155_); trivial. % 49.22/49.39 apply zenon_H1b6. apply refl_equal. % 49.22/49.39 apply zenon_H1b6. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L160_ *) % 49.22/49.39 assert (zenon_L161_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1a7 zenon_H1a5 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.22/49.39 apply (zenon_L156_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.22/49.39 apply (zenon_L158_); trivial. % 49.22/49.39 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.22/49.39 apply (zenon_L159_); trivial. % 49.22/49.39 apply (zenon_L160_); trivial. % 49.22/49.39 (* end of lemma zenon_L161_ *) % 49.22/49.39 assert (zenon_L162_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e20)) = (e20)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1bd zenon_H14 zenon_H1be. % 49.22/49.39 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1bd. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H14. % 49.22/49.39 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.22/49.39 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1af ]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e20) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1c0. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ae. % 49.22/49.39 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 49.22/49.39 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1c1 zenon_H1be). % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 apply zenon_H1af. apply refl_equal. % 49.22/49.39 apply zenon_H1bf. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L162_ *) % 49.22/49.39 assert (zenon_L163_ : (~((e22) = (e22))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1c2. % 49.22/49.39 apply zenon_H1c2. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L163_ *) % 49.22/49.39 assert (zenon_L164_ : (~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1c3 zenon_H14. % 49.22/49.39 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 49.22/49.39 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H1c2. apply refl_equal. % 49.22/49.39 apply zenon_H15. apply sym_equal. exact zenon_H14. % 49.22/49.39 (* end of lemma zenon_L164_ *) % 49.22/49.39 assert (zenon_L165_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1c4 zenon_H19b zenon_H1c5 zenon_H14. % 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1c4. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19b. % 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 49.22/49.39 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e21) = (op2 (e20) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1c6. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a1. % 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 49.22/49.39 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1c7 zenon_H1c5). % 49.22/49.39 apply zenon_H1a2. apply refl_equal. % 49.22/49.39 apply zenon_H1a2. apply refl_equal. % 49.22/49.39 apply (zenon_L164_); trivial. % 49.22/49.39 (* end of lemma zenon_L165_ *) % 49.22/49.39 assert (zenon_L166_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H1c8 zenon_H1c9. % 49.22/49.39 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ]. % 49.22/49.39 cut (((e21) = (e21)) = ((e20) = (e21))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1c9. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ca. % 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.22/49.39 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((e21) = (e20))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1cc. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H193. % 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.22/49.39 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1cd zenon_H1c8). % 49.22/49.39 apply zenon_H1a4. apply refl_equal. % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L166_ *) % 49.22/49.39 assert (zenon_L167_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e23))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H193 zenon_H1ce zenon_H1a7. % 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.22/49.39 cut (((e23) = (e23)) = ((e20) = (e23))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1a7. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a8. % 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.22/49.39 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e20) (e21)) = (e20)) = ((e23) = (e20))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1aa. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H193. % 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.22/49.39 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1cf zenon_H1ce). % 49.22/49.39 apply zenon_H1a4. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L167_ *) % 49.22/49.39 assert (zenon_L168_ : (~((e21) = (e21))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1cb. % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L168_ *) % 49.22/49.39 assert (zenon_L169_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1d0 zenon_H1d1 zenon_H1d2. % 49.22/49.39 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.22/49.39 cut (((e23) = (e23)) = ((e21) = (e23))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1d2. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1a8. % 49.22/49.39 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.22/49.39 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((e23) = (e21))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1d3. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1d0. % 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.22/49.39 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1d4 zenon_H1d1). % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 apply zenon_H1a9. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L169_ *) % 49.22/49.39 assert (zenon_L170_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1ad zenon_H19b zenon_H1d5 zenon_H14. % 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1ad. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19b. % 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 49.22/49.39 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ]. % 49.22/49.39 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e21) = (op2 (e21) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1d6. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1d7. % 49.22/49.39 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d8]. % 49.22/49.39 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1d9 zenon_H1d5). % 49.22/49.39 apply zenon_H1d8. apply refl_equal. % 49.22/49.39 apply zenon_H1d8. apply refl_equal. % 49.22/49.39 apply (zenon_L164_); trivial. % 49.22/49.39 (* end of lemma zenon_L170_ *) % 49.22/49.39 assert (zenon_L171_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1da zenon_H1db zenon_H1c9. % 49.22/49.39 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ]. % 49.22/49.39 cut (((e21) = (e21)) = ((e20) = (e21))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1c9. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ca. % 49.22/49.39 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.22/49.39 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1cc. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1da. % 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.22/49.39 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1dc]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1dc zenon_H1db). % 49.22/49.39 apply zenon_H1a4. apply refl_equal. % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 apply zenon_H1cb. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L171_ *) % 49.22/49.39 assert (zenon_L172_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1dd zenon_H1d0 zenon_H1de. % 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1dd. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1d0. % 49.22/49.39 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H1e0. apply refl_equal. % 49.22/49.39 apply zenon_H1df. apply sym_equal. exact zenon_H1de. % 49.22/49.39 (* end of lemma zenon_L172_ *) % 49.22/49.39 assert (zenon_L173_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1d0 zenon_H1c8 zenon_H1e1. % 49.22/49.39 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ]. % 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1e1. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1e2. % 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1e3. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1d0. % 49.22/49.39 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 49.22/49.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H1e0. apply refl_equal. % 49.22/49.39 apply zenon_H1e4. apply sym_equal. exact zenon_H1c8. % 49.22/49.39 apply zenon_H1e0. apply refl_equal. % 49.22/49.39 apply zenon_H1e0. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L173_ *) % 49.22/49.39 assert (zenon_L174_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19b zenon_H1e5 zenon_H14 zenon_H1e6. % 49.22/49.39 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1e6. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1e7. % 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1e9. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H19b. % 49.22/49.39 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 49.22/49.39 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 49.22/49.39 congruence. % 49.22/49.39 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1ea. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1e7. % 49.22/49.39 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.22/49.39 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 49.22/49.39 congruence. % 49.22/49.39 exact (zenon_H1eb zenon_H1e5). % 49.22/49.39 apply zenon_H1e8. apply refl_equal. % 49.22/49.39 apply zenon_H1e8. apply refl_equal. % 49.22/49.39 apply (zenon_L164_); trivial. % 49.22/49.39 apply zenon_H1e8. apply refl_equal. % 49.22/49.39 apply zenon_H1e8. apply refl_equal. % 49.22/49.39 (* end of lemma zenon_L174_ *) % 49.22/49.39 assert (zenon_L175_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> False). % 49.22/49.39 do 0 intro. intros zenon_H19d zenon_H1ec zenon_H1ed. % 49.22/49.39 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H19d. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1ec. % 49.22/49.39 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ee]. % 49.22/49.39 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 49.22/49.39 congruence. % 49.22/49.39 apply zenon_H1a2. apply refl_equal. % 49.22/49.39 apply zenon_H1ee. apply sym_equal. exact zenon_H1ed. % 49.22/49.39 (* end of lemma zenon_L175_ *) % 49.22/49.39 assert (zenon_L176_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 49.22/49.39 do 0 intro. intros zenon_H1da zenon_H1ef zenon_H1f0. % 49.22/49.39 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.22/49.39 cut (((e22) = (e22)) = ((e20) = (e22))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1f0. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1f1. % 49.22/49.39 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.22/49.39 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 49.22/49.39 congruence. % 49.22/49.39 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))). % 49.22/49.39 intro zenon_D_pnotp. % 49.22/49.39 apply zenon_H1f2. % 49.22/49.39 rewrite <- zenon_D_pnotp. % 49.22/49.39 exact zenon_H1da. % 49.22/49.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.22/49.39 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1f3]. % 49.23/49.39 congruence. % 49.23/49.39 exact (zenon_H1f3 zenon_H1ef). % 49.23/49.39 apply zenon_H1a4. apply refl_equal. % 49.23/49.39 apply zenon_H1c2. apply refl_equal. % 49.23/49.39 apply zenon_H1c2. apply refl_equal. % 49.23/49.39 (* end of lemma zenon_L176_ *) % 49.23/49.39 assert (zenon_L177_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False). % 49.23/49.39 do 0 intro. intros zenon_H19e zenon_H1f4 zenon_H14 zenon_H19b zenon_H1f5. % 49.23/49.39 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ]. % 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 49.23/49.39 intro zenon_D_pnotp. % 49.23/49.39 apply zenon_H1f5. % 49.23/49.39 rewrite <- zenon_D_pnotp. % 49.23/49.39 exact zenon_H1f6. % 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f8]. % 49.23/49.39 congruence. % 49.23/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e21)) = (op2 (e21) (e20)))). % 49.23/49.39 intro zenon_D_pnotp. % 49.23/49.39 apply zenon_H1f8. % 49.23/49.39 rewrite <- zenon_D_pnotp. % 49.23/49.39 exact zenon_H19e. % 49.23/49.39 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.23/49.39 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 49.23/49.39 congruence. % 49.23/49.39 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ]. % 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))). % 49.23/49.39 intro zenon_D_pnotp. % 49.23/49.39 apply zenon_H1f9. % 49.23/49.39 rewrite <- zenon_D_pnotp. % 49.23/49.39 exact zenon_H1f6. % 49.23/49.39 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 49.23/49.39 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1fa]. % 49.23/49.39 congruence. % 49.23/49.39 exact (zenon_H1fa zenon_H1f4). % 49.23/49.39 apply zenon_H1f7. apply refl_equal. % 49.23/49.39 apply zenon_H1f7. apply refl_equal. % 49.23/49.39 apply (zenon_L155_); trivial. % 49.23/49.39 apply zenon_H1f7. apply refl_equal. % 49.23/49.39 apply zenon_H1f7. apply refl_equal. % 49.23/49.39 (* end of lemma zenon_L177_ *) % 49.23/49.39 assert (zenon_L178_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.39 do 0 intro. intros zenon_H19e zenon_H1fb zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.39 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 49.23/49.39 intro zenon_D_pnotp. % 49.23/49.39 apply zenon_H1fc. % 49.23/49.39 rewrite <- zenon_D_pnotp. % 49.23/49.39 exact zenon_H1fd. % 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 49.23/49.39 cut (((op2 (e21) (e22)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 49.23/49.39 congruence. % 49.23/49.39 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e22)) = (op2 (e21) (e20)))). % 49.23/49.39 intro zenon_D_pnotp. % 49.23/49.39 apply zenon_H1ff. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.23/49.40 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H200. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1fd. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H201 zenon_H1fb). % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply (zenon_L155_); trivial. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L178_ *) % 49.23/49.40 assert (zenon_L179_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H202 zenon_H203 zenon_H19b. % 49.23/49.40 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.23/49.40 exact (zenon_H204 zenon_H203). % 49.23/49.40 (* end of lemma zenon_L179_ *) % 49.23/49.40 assert (zenon_L180_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H205 zenon_H19e zenon_H206 zenon_H203 zenon_H19b. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H205. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H207. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H208. % 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H20a zenon_H206). % 49.23/49.40 apply zenon_H209. apply refl_equal. % 49.23/49.40 apply zenon_H209. apply refl_equal. % 49.23/49.40 apply (zenon_L179_); trivial. % 49.23/49.40 (* end of lemma zenon_L180_ *) % 49.23/49.40 assert (zenon_L181_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H20b zenon_H20c zenon_H1f0. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e20) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1f0. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (e20)) = (e20)) = ((e22) = (e20))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1f2. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H20b. % 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H20d zenon_H20c). % 49.23/49.40 apply zenon_H1a4. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L181_ *) % 49.23/49.40 assert (zenon_L182_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H20e zenon_H20f zenon_H210. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H210. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e21)) = ((e22) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H211. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H20e. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H212]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H212 zenon_H20f). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L182_ *) % 49.23/49.40 assert (zenon_L183_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H213 zenon_H214 zenon_H215. % 49.23/49.40 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H213. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H214. % 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215. % 49.23/49.40 (* end of lemma zenon_L183_ *) % 49.23/49.40 assert (zenon_L184_ : (~((e23) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H1a9. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L184_ *) % 49.23/49.40 assert (zenon_L185_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H217 zenon_H206 zenon_H218. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H218. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21f. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H221. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21d. % 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H222. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21f. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H223]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H207. apply sym_equal. exact zenon_H206. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply zenon_H207. apply sym_equal. exact zenon_H206. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L185_ *) % 49.23/49.40 assert (zenon_L186_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H224 zenon_H225. % 49.23/49.40 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H226. apply sym_equal. exact zenon_H225. % 49.23/49.40 (* end of lemma zenon_L186_ *) % 49.23/49.40 assert (zenon_L187_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H228 zenon_H225 zenon_H229. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H228. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H22e. % 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H231. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H232. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 49.23/49.40 congruence. % 49.23/49.40 apply (zenon_L186_); trivial. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.40 (* end of lemma zenon_L187_ *) % 49.23/49.40 assert (zenon_L188_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H234 zenon_H14 zenon_H235. % 49.23/49.40 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H236]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H236 zenon_H235). % 49.23/49.40 apply zenon_H15. apply sym_equal. exact zenon_H14. % 49.23/49.40 (* end of lemma zenon_L188_ *) % 49.23/49.40 assert (zenon_L189_ : (((op2 (e20) (op2 (e22) (e20))) = (e20))/\(((op2 (e21) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\((op2 (e23) (op2 (e22) (e23))) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H237 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H235. zenon_intro zenon_H23d. % 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1e6. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e7. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1e9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H234]. % 49.23/49.40 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H23e. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e7. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H23f zenon_H238). % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply (zenon_L188_); trivial. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L189_ *) % 49.23/49.40 assert (zenon_L190_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H241 zenon_H229 zenon_H242. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H241. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H248. % 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24a]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H24a. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242. % 49.23/49.40 (* end of lemma zenon_L190_ *) % 49.23/49.40 assert (zenon_L191_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229 zenon_H242. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L185_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L187_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L190_); trivial. % 49.23/49.40 (* end of lemma zenon_L191_ *) % 49.23/49.40 assert (zenon_L192_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.40 apply (zenon_L181_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.40 apply (zenon_L182_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L191_); trivial. % 49.23/49.40 (* end of lemma zenon_L192_ *) % 49.23/49.40 assert (zenon_L193_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.40 apply (zenon_L169_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.40 apply (zenon_L178_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.40 apply (zenon_L180_); trivial. % 49.23/49.40 apply (zenon_L192_); trivial. % 49.23/49.40 (* end of lemma zenon_L193_ *) % 49.23/49.40 assert (zenon_L194_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H20e zenon_H256 zenon_H1d2. % 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.40 cut (((e23) = (e23)) = ((e21) = (e23))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1d2. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1a8. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e21)) = ((e23) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1d3. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H20e. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H257 zenon_H256). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L194_ *) % 49.23/49.40 assert (zenon_L195_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H225 zenon_H258 zenon_H210. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H210. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e21) (e23)) = (e21)) = ((e22) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H211. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H225. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H259 zenon_H258). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L195_ *) % 49.23/49.40 assert (zenon_L196_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e20)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H25a zenon_H14 zenon_H25b. % 49.23/49.40 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H25a. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H14. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.40 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fe ]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H25c. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1fd. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H25d]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H25d zenon_H25b). % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L196_ *) % 49.23/49.40 assert (zenon_L197_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H1d0 zenon_H25e zenon_H210. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H210. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e21)) = ((e22) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H211. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1d0. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H25f]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H25f zenon_H25e). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L197_ *) % 49.23/49.40 assert (zenon_L198_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H206 zenon_H1d2. % 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.40 cut (((e23) = (e23)) = ((e21) = (e23))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1d2. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1a8. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((e23) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1d3. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H260. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H20a zenon_H206). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L198_ *) % 49.23/49.40 assert (zenon_L199_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e20) = (e21))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H261 zenon_H225 zenon_H1c9. % 49.23/49.40 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ]. % 49.23/49.40 cut (((e21) = (e21)) = ((e20) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1c9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1ca. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e21) (e23)) = (e20)) = ((e21) = (e20))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1cc. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H261. % 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H262 zenon_H225). % 49.23/49.40 apply zenon_H1a4. apply refl_equal. % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L199_ *) % 49.23/49.40 assert (zenon_L200_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19b zenon_H263 zenon_H14 zenon_H264. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H264. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H265. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19b. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 49.23/49.40 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H266. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H267 zenon_H263). % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply (zenon_L164_); trivial. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L200_ *) % 49.23/49.40 assert (zenon_L201_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H214 zenon_H25a. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H25a. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H268. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e22) (op2 (e21) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H269. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H22f. % 49.23/49.40 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 49.23/49.40 cut (((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26b]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e21) (e22))) = (op2 (e22) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H26b. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H268. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H26a. apply sym_equal. exact zenon_H214. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H26a. apply sym_equal. exact zenon_H214. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L201_ *) % 49.23/49.40 assert (zenon_L202_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H228 zenon_H26d zenon_H229. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H228. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H247. % 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H26e]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H26e. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H232. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H270. apply sym_equal. exact zenon_H26d. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.40 (* end of lemma zenon_L202_ *) % 49.23/49.40 assert (zenon_L203_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H26d zenon_H229. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L185_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L201_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L202_); trivial. % 49.23/49.40 (* end of lemma zenon_L203_ *) % 49.23/49.40 assert (zenon_L204_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H229. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.23/49.40 apply (zenon_L199_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.23/49.40 apply (zenon_L200_); trivial. % 49.23/49.40 apply (zenon_L203_); trivial. % 49.23/49.40 (* end of lemma zenon_L204_ *) % 49.23/49.40 assert (zenon_L205_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1d0 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.40 apply (zenon_L169_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.40 apply (zenon_L178_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.40 apply (zenon_L180_); trivial. % 49.23/49.40 apply (zenon_L204_); trivial. % 49.23/49.40 (* end of lemma zenon_L205_ *) % 49.23/49.40 assert (zenon_L206_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H274 zenon_H206 zenon_H275. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H274. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H206. % 49.23/49.40 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H209. apply refl_equal. % 49.23/49.40 apply zenon_H276. apply sym_equal. exact zenon_H275. % 49.23/49.40 (* end of lemma zenon_L206_ *) % 49.23/49.40 assert (zenon_L207_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H264 zenon_H261 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H1fc zenon_H1d0 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.40 apply (zenon_L159_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.40 apply (zenon_L205_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.40 apply (zenon_L180_); trivial. % 49.23/49.40 apply (zenon_L206_); trivial. % 49.23/49.40 (* end of lemma zenon_L207_ *) % 49.23/49.40 assert (zenon_L208_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H27a zenon_H27b zenon_H19b. % 49.23/49.40 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H27c]. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.23/49.40 exact (zenon_H27c zenon_H27b). % 49.23/49.40 (* end of lemma zenon_L208_ *) % 49.23/49.40 assert (zenon_L209_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H1dd zenon_H19e zenon_H1d1 zenon_H27b zenon_H19b. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1dd. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27a]. % 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ]. % 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H27d. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e2. % 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H1d4 zenon_H1d1). % 49.23/49.40 apply zenon_H1e0. apply refl_equal. % 49.23/49.40 apply zenon_H1e0. apply refl_equal. % 49.23/49.40 apply (zenon_L208_); trivial. % 49.23/49.40 (* end of lemma zenon_L209_ *) % 49.23/49.40 assert (zenon_L210_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H229 zenon_H27b zenon_H19b zenon_H213. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H213. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H280. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27a]. % 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H230. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H281 zenon_H229). % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply (zenon_L208_); trivial. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L210_ *) % 49.23/49.40 assert (zenon_L211_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H206 zenon_H205 zenon_H19e zenon_H27b zenon_H19b zenon_H213. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.40 apply (zenon_L209_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.40 apply (zenon_L178_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.40 apply (zenon_L180_); trivial. % 49.23/49.40 apply (zenon_L210_); trivial. % 49.23/49.40 (* end of lemma zenon_L211_ *) % 49.23/49.40 assert (zenon_L212_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H215 zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ]. % 49.23/49.40 apply (zenon_L196_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ]. % 49.23/49.40 apply (zenon_L172_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L178_); trivial. % 49.23/49.40 (* end of lemma zenon_L212_ *) % 49.23/49.40 assert (zenon_L213_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.40 apply (zenon_L197_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.40 apply (zenon_L207_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.40 apply (zenon_L211_); trivial. % 49.23/49.40 apply (zenon_L212_); trivial. % 49.23/49.40 (* end of lemma zenon_L213_ *) % 49.23/49.40 assert (zenon_L214_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H193 zenon_H288 zenon_H1f0. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e20) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1f0. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e21)) = (e20)) = ((e22) = (e20))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H1f2. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H193. % 49.23/49.40 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.40 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H289 zenon_H288). % 49.23/49.40 apply zenon_H1a4. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L214_ *) % 49.23/49.40 assert (zenon_L215_ : ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e22) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H28a zenon_H206 zenon_H28b. % 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28b. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1a8. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e22)) = ((e23) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28c. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H28a. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H20a zenon_H206). % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L215_ *) % 49.23/49.40 assert (zenon_L216_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1a7 zenon_H193 zenon_H1d2 zenon_H1d0 zenon_H28a zenon_H28b. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.40 apply (zenon_L156_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.40 apply (zenon_L167_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.40 apply (zenon_L169_); trivial. % 49.23/49.40 apply (zenon_L215_); trivial. % 49.23/49.40 (* end of lemma zenon_L216_ *) % 49.23/49.40 assert (zenon_L217_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H14 zenon_H290 zenon_H291. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H291. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H292. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H14. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.40 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H293]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H293. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H294]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H294 zenon_H290). % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L217_ *) % 49.23/49.40 assert (zenon_L218_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H213 zenon_H1de zenon_H295. % 49.23/49.40 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H213. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1de. % 49.23/49.40 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 49.23/49.40 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1fe. apply refl_equal. % 49.23/49.40 apply zenon_H296. apply sym_equal. exact zenon_H295. % 49.23/49.40 (* end of lemma zenon_L218_ *) % 49.23/49.40 assert (zenon_L219_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H297 zenon_H1d1 zenon_H229. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e23)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H297. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1d1. % 49.23/49.40 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.40 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1e0. apply refl_equal. % 49.23/49.40 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.40 (* end of lemma zenon_L219_ *) % 49.23/49.40 assert (zenon_L220_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H298 zenon_H291 zenon_H14 zenon_H1de zenon_H214 zenon_H213 zenon_H297 zenon_H1d1. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H290 | zenon_intro zenon_H299 ]. % 49.23/49.40 apply (zenon_L217_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H295 | zenon_intro zenon_H29a ]. % 49.23/49.40 apply (zenon_L218_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H215 | zenon_intro zenon_H229 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L219_); trivial. % 49.23/49.40 (* end of lemma zenon_L220_ *) % 49.23/49.40 assert (zenon_L221_ : ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e22) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H25e zenon_H1d1 zenon_H28b. % 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28b. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1a8. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e22)) = ((e23) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28c. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H25e. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H1d4 zenon_H1d1). % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L221_ *) % 49.23/49.40 assert (zenon_L222_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19b zenon_H29b zenon_H14 zenon_H29c. % 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H29c. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1b5. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H29d]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e21) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H29d. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19b. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c3]. % 49.23/49.40 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H29e. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1b5. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H29f]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H29f zenon_H29b). % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 apply (zenon_L164_); trivial. % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L222_ *) % 49.23/49.40 assert (zenon_L223_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H218 zenon_H260 zenon_H26d. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H218. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H260. % 49.23/49.40 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H209. apply refl_equal. % 49.23/49.40 apply zenon_H270. apply sym_equal. exact zenon_H26d. % 49.23/49.40 (* end of lemma zenon_L223_ *) % 49.23/49.40 assert (zenon_L224_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H14 zenon_H19b zenon_H1d2 zenon_H256 zenon_H1de zenon_H213 zenon_H218 zenon_H260. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.23/49.40 apply (zenon_L222_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.23/49.40 apply (zenon_L194_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.23/49.40 apply (zenon_L218_); trivial. % 49.23/49.40 apply (zenon_L223_); trivial. % 49.23/49.40 (* end of lemma zenon_L224_ *) % 49.23/49.40 assert (zenon_L225_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2a3 zenon_H260. % 49.23/49.40 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a4]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H2a4. apply sym_equal. exact zenon_H260. % 49.23/49.40 (* end of lemma zenon_L225_ *) % 49.23/49.40 assert (zenon_L226_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H217 zenon_H2a5 zenon_H260 zenon_H2a6. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2a5. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21d. % 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.23/49.40 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a8]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2a8. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H232. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 49.23/49.40 congruence. % 49.23/49.40 apply (zenon_L225_); trivial. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H233. apply refl_equal. % 49.23/49.40 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6. % 49.23/49.40 (* end of lemma zenon_L226_ *) % 49.23/49.40 assert (zenon_L227_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H258 zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H297. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2a9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H22e. % 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2aa]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2aa. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2ab]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H2ac. apply sym_equal. exact zenon_H258. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L227_ *) % 49.23/49.40 assert (zenon_L228_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H291. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H248. % 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H268 | zenon_intro zenon_H1bf ]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2ad. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H268. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.40 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H1bf. apply refl_equal. % 49.23/49.40 apply zenon_H216. apply sym_equal. exact zenon_H215. % 49.23/49.40 (* end of lemma zenon_L228_ *) % 49.23/49.40 assert (zenon_L229_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2a6 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L226_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L227_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L228_); trivial. % 49.23/49.40 (* end of lemma zenon_L229_ *) % 49.23/49.40 assert (zenon_L230_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.40 apply (zenon_L160_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.40 apply (zenon_L224_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L219_); trivial. % 49.23/49.40 apply (zenon_L229_); trivial. % 49.23/49.40 (* end of lemma zenon_L230_ *) % 49.23/49.40 assert (zenon_L231_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.40 apply (zenon_L221_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.40 apply (zenon_L220_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.40 apply (zenon_L209_); trivial. % 49.23/49.40 apply (zenon_L230_); trivial. % 49.23/49.40 (* end of lemma zenon_L231_ *) % 49.23/49.40 assert (zenon_L232_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H205 zenon_H260 zenon_H225. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H205. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H260. % 49.23/49.40 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H209. apply refl_equal. % 49.23/49.40 apply zenon_H226. apply sym_equal. exact zenon_H225. % 49.23/49.40 (* end of lemma zenon_L232_ *) % 49.23/49.40 assert (zenon_L233_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1a7 zenon_H193 zenon_H28b zenon_H25e zenon_H260 zenon_H1d2. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.40 apply (zenon_L156_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.40 apply (zenon_L167_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.40 apply (zenon_L221_); trivial. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 (* end of lemma zenon_L233_ *) % 49.23/49.40 assert (zenon_L234_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2b2 zenon_H261. % 49.23/49.40 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b3]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H2b3. apply sym_equal. exact zenon_H261. % 49.23/49.40 (* end of lemma zenon_L234_ *) % 49.23/49.40 assert (zenon_L235_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H227 zenon_H2b4 zenon_H261 zenon_H2a6. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2b4. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H22e. % 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.23/49.40 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2b5. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1b5. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.40 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 49.23/49.40 congruence. % 49.23/49.40 apply (zenon_L234_); trivial. % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 apply zenon_H1b6. apply refl_equal. % 49.23/49.40 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6. % 49.23/49.40 (* end of lemma zenon_L235_ *) % 49.23/49.40 assert (zenon_L236_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L226_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L235_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L228_); trivial. % 49.23/49.40 (* end of lemma zenon_L236_ *) % 49.23/49.40 assert (zenon_L237_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1d2 zenon_H20e zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.40 apply (zenon_L160_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.40 apply (zenon_L194_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L219_); trivial. % 49.23/49.40 apply (zenon_L236_); trivial. % 49.23/49.40 (* end of lemma zenon_L237_ *) % 49.23/49.40 assert (zenon_L238_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H285 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1d2 zenon_H19b zenon_H1b4 zenon_H2af zenon_H1de zenon_H213 zenon_H218 zenon_H260. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.40 apply (zenon_L233_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.40 apply (zenon_L220_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.40 apply (zenon_L209_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.23/49.40 apply (zenon_L222_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.23/49.40 apply (zenon_L237_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.23/49.40 apply (zenon_L218_); trivial. % 49.23/49.40 apply (zenon_L223_); trivial. % 49.23/49.40 (* end of lemma zenon_L238_ *) % 49.23/49.40 assert (zenon_L239_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2b6 zenon_H2b7 zenon_H19b. % 49.23/49.40 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2b8]. % 49.23/49.40 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.23/49.40 exact (zenon_H2b8 zenon_H2b7). % 49.23/49.40 (* end of lemma zenon_L239_ *) % 49.23/49.40 assert (zenon_L240_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H238 zenon_H2b7 zenon_H19b zenon_H2b9. % 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2b9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e7. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ba]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2ba. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b6]. % 49.23/49.40 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H23e. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e7. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H23f zenon_H238). % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply (zenon_L239_); trivial. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L240_ *) % 49.23/49.40 assert (zenon_L241_ : ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H20f zenon_H256 zenon_H28b. % 49.23/49.40 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.40 cut (((e23) = (e23)) = ((e22) = (e23))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28b. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1a8. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e22)) = ((e23) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H28c. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H20f. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H257 zenon_H256). % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L241_ *) % 49.23/49.40 assert (zenon_L242_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2bb zenon_H295. % 49.23/49.40 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H296. apply sym_equal. exact zenon_H295. % 49.23/49.40 (* end of lemma zenon_L242_ *) % 49.23/49.40 assert (zenon_L243_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H2bc zenon_H295 zenon_H20f. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2bc. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H248. % 49.23/49.40 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bd]. % 49.23/49.40 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2be. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1e7. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.40 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2bb]. % 49.23/49.40 congruence. % 49.23/49.40 apply (zenon_L242_); trivial. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H1e8. apply refl_equal. % 49.23/49.40 apply zenon_H2bd. apply sym_equal. exact zenon_H20f. % 49.23/49.40 (* end of lemma zenon_L243_ *) % 49.23/49.40 assert (zenon_L244_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H28b zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H2bc zenon_H295 zenon_H20f. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.40 apply (zenon_L160_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.40 apply (zenon_L241_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L219_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L226_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L235_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L243_); trivial. % 49.23/49.40 (* end of lemma zenon_L244_ *) % 49.23/49.40 assert (zenon_L245_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H2bf zenon_H14 zenon_H19b zenon_H2c0. % 49.23/49.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2c0. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H2c1. % 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2c3]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e23)) = (op2 (e21) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2c3. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.23/49.40 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c4]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2c4. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H2c1. % 49.23/49.40 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 49.23/49.40 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c5]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H2c5 zenon_H2bf). % 49.23/49.40 apply zenon_H2c2. apply refl_equal. % 49.23/49.40 apply zenon_H2c2. apply refl_equal. % 49.23/49.40 apply (zenon_L155_); trivial. % 49.23/49.40 apply zenon_H2c2. apply refl_equal. % 49.23/49.40 apply zenon_H2c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L245_ *) % 49.23/49.40 assert (zenon_L246_ : (((op2 (e20) (op2 (e22) (e20))) = (e20))/\(((op2 (e21) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\((op2 (e23) (op2 (e22) (e23))) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H237 zenon_H19e zenon_H275 zenon_H14 zenon_H264. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H23a. zenon_intro zenon_H239. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H23c. zenon_intro zenon_H23b. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H235. zenon_intro zenon_H23d. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H264. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H265. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H234]. % 49.23/49.40 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H276. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H2c6 zenon_H275). % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply (zenon_L188_); trivial. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L246_ *) % 49.23/49.40 assert (zenon_L247_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H240 zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H297. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2a9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H247. % 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 49.23/49.40 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2c7]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e22)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2c7. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H27e. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.23/49.40 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 49.23/49.40 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1a9. apply refl_equal. % 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 apply zenon_H27f. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L247_ *) % 49.23/49.40 assert (zenon_L248_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.40 cut (((op2 (e22) (op2 (e20) (e22))) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H241. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21e. % 49.23/49.40 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 49.23/49.40 cut (((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e20) (e22))) = (op2 (e22) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2c9. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H24b. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.40 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 congruence. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H27d. apply sym_equal. exact zenon_H1d1. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H24c. apply refl_equal. % 49.23/49.40 apply zenon_H249. apply sym_equal. exact zenon_H242. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L201_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L246_); trivial. % 49.23/49.40 apply (zenon_L247_); trivial. % 49.23/49.40 (* end of lemma zenon_L248_ *) % 49.23/49.40 assert (zenon_L249_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.40 apply (zenon_L181_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.40 apply (zenon_L241_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L248_); trivial. % 49.23/49.40 (* end of lemma zenon_L249_ *) % 49.23/49.40 assert (zenon_L250_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.40 apply (zenon_L226_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.40 apply (zenon_L235_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.40 apply (zenon_L189_); trivial. % 49.23/49.40 apply (zenon_L247_); trivial. % 49.23/49.40 (* end of lemma zenon_L250_ *) % 49.23/49.40 assert (zenon_L251_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.40 apply (zenon_L245_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L249_); trivial. % 49.23/49.40 apply (zenon_L250_); trivial. % 49.23/49.40 (* end of lemma zenon_L251_ *) % 49.23/49.40 assert (zenon_L252_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H295 zenon_H2bc zenon_H2af zenon_H1b4 zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H19b zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.40 apply (zenon_L181_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.40 apply (zenon_L244_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.40 apply (zenon_L160_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.40 apply (zenon_L251_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L219_); trivial. % 49.23/49.40 apply (zenon_L250_); trivial. % 49.23/49.40 (* end of lemma zenon_L252_ *) % 49.23/49.40 assert (zenon_L253_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H282 zenon_H295 zenon_H297 zenon_H1d1 zenon_H275 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ]. % 49.23/49.40 apply (zenon_L196_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ]. % 49.23/49.40 apply (zenon_L218_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ]. % 49.23/49.40 apply (zenon_L249_); trivial. % 49.23/49.40 apply (zenon_L178_); trivial. % 49.23/49.40 (* end of lemma zenon_L253_ *) % 49.23/49.40 assert (zenon_L254_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1fc zenon_H19b zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H264 zenon_H1d1 zenon_H297 zenon_H295 zenon_H282 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.40 apply (zenon_L245_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L253_); trivial. % 49.23/49.40 apply (zenon_L236_); trivial. % 49.23/49.40 (* end of lemma zenon_L254_ *) % 49.23/49.40 assert (zenon_L255_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2ce zenon_H1f5 zenon_H2bc zenon_H19e zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H19b zenon_H1b4 zenon_H2af zenon_H2b9 zenon_H285 zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H1d2 zenon_H213 zenon_H218 zenon_H2cf zenon_H20f zenon_H28b. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.40 apply (zenon_L167_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.40 apply (zenon_L177_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.23/49.40 apply (zenon_L169_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.23/49.40 apply (zenon_L238_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.23/49.40 apply (zenon_L240_); trivial. % 49.23/49.40 apply (zenon_L244_); trivial. % 49.23/49.40 apply (zenon_L241_); trivial. % 49.23/49.40 (* end of lemma zenon_L255_ *) % 49.23/49.40 assert (zenon_L256_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H19e zenon_H2a6 zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2d4. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21f. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2d5]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2d5. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H19e. % 49.23/49.40 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 49.23/49.40 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.23/49.40 congruence. % 49.23/49.40 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e23) = (op2 (e23) (e23)))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H2a7. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H21f. % 49.23/49.40 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.23/49.40 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H2d6 zenon_H2a6). % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply (zenon_L179_); trivial. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 apply zenon_H220. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L256_ *) % 49.23/49.40 assert (zenon_L257_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2cb zenon_H1d2 zenon_H260 zenon_H2c0 zenon_H297 zenon_H1d1 zenon_H242 zenon_H14 zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.40 apply (zenon_L245_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L248_); trivial. % 49.23/49.40 apply (zenon_L256_); trivial. % 49.23/49.40 (* end of lemma zenon_L257_ *) % 49.23/49.40 assert (zenon_L258_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H2d4 zenon_H19b zenon_H2c0 zenon_H260 zenon_H1d2 zenon_H2cb zenon_H2ce zenon_H1f5 zenon_H2bc zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H1b4 zenon_H2af zenon_H2b9 zenon_H285 zenon_H193 zenon_H1a7 zenon_H19d zenon_H28d zenon_H298 zenon_H1dd zenon_H2a0 zenon_H29c zenon_H291 zenon_H218 zenon_H2cf zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H1d1 zenon_H297. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.40 apply (zenon_L167_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.40 apply (zenon_L177_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.23/49.40 apply (zenon_L169_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.23/49.40 apply (zenon_L238_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.23/49.40 apply (zenon_L240_); trivial. % 49.23/49.40 apply (zenon_L252_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.40 apply (zenon_L159_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.40 apply (zenon_L181_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.40 apply (zenon_L241_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L251_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.40 apply (zenon_L181_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.40 apply (zenon_L255_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.40 apply (zenon_L183_); trivial. % 49.23/49.40 apply (zenon_L257_); trivial. % 49.23/49.40 apply (zenon_L249_); trivial. % 49.23/49.40 (* end of lemma zenon_L258_ *) % 49.23/49.40 assert (zenon_L259_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2cf zenon_H218 zenon_H29c zenon_H2a0 zenon_H298 zenon_H28d zenon_H19d zenon_H1a7 zenon_H193 zenon_H285 zenon_H2b9 zenon_H2af zenon_H1b4 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H1ad zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H260 zenon_H1d2 zenon_H2cb zenon_H282 zenon_H295 zenon_H297 zenon_H1d1 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.40 apply (zenon_L221_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.40 apply (zenon_L258_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.40 apply (zenon_L209_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.40 apply (zenon_L159_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.40 apply (zenon_L254_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.40 apply (zenon_L198_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.40 apply (zenon_L245_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.40 apply (zenon_L253_); trivial. % 49.23/49.40 apply (zenon_L256_); trivial. % 49.23/49.40 apply (zenon_L253_); trivial. % 49.23/49.40 (* end of lemma zenon_L259_ *) % 49.23/49.40 assert (zenon_L260_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H260 zenon_H28a zenon_H210. % 49.23/49.40 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.40 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H210. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H1f1. % 49.23/49.40 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.40 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.23/49.40 congruence. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e21)) = ((e22) = (e21))). % 49.23/49.40 intro zenon_D_pnotp. % 49.23/49.40 apply zenon_H211. % 49.23/49.40 rewrite <- zenon_D_pnotp. % 49.23/49.40 exact zenon_H260. % 49.23/49.40 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.40 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2d7]. % 49.23/49.40 congruence. % 49.23/49.40 exact (zenon_H2d7 zenon_H28a). % 49.23/49.40 apply zenon_H1cb. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 apply zenon_H1c2. apply refl_equal. % 49.23/49.40 (* end of lemma zenon_L260_ *) % 49.23/49.40 assert (zenon_L261_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 49.23/49.40 do 0 intro. intros zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2af zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H282 zenon_H297 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H20b zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1ad zenon_H1b4 zenon_H1f0 zenon_H1d2 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H19e zenon_H14 zenon_H19b zenon_H28d zenon_H260 zenon_H210. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.40 apply (zenon_L156_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.40 apply (zenon_L167_); trivial. % 49.23/49.40 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.23/49.41 apply (zenon_L156_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.23/49.41 apply (zenon_L158_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.23/49.41 apply (zenon_L170_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.23/49.41 apply (zenon_L171_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.23/49.41 apply (zenon_L175_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.23/49.41 apply (zenon_L176_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.23/49.41 apply (zenon_L220_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L167_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_L231_); trivial. % 49.23/49.41 apply (zenon_L224_); trivial. % 49.23/49.41 apply (zenon_L232_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.23/49.41 apply (zenon_L196_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L167_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.23/49.41 apply (zenon_L169_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.23/49.41 apply (zenon_L238_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.23/49.41 apply (zenon_L240_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.41 apply (zenon_L233_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.41 apply (zenon_L252_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.41 apply (zenon_L209_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.41 apply (zenon_L254_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 apply (zenon_L236_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.23/49.41 apply (zenon_L222_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.23/49.41 apply (zenon_L194_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.23/49.41 apply (zenon_L259_); trivial. % 49.23/49.41 apply (zenon_L223_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.23/49.41 apply (zenon_L159_); trivial. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_L198_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.23/49.41 apply (zenon_L214_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.23/49.41 apply (zenon_L233_); trivial. % 49.23/49.41 apply (zenon_L260_); trivial. % 49.23/49.41 (* end of lemma zenon_L261_ *) % 49.23/49.41 assert (zenon_L262_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H228 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2af zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H291 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H282 zenon_H297 zenon_H264 zenon_H25a zenon_H241 zenon_H213 zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1ad zenon_H1b4 zenon_H1f0 zenon_H1d2 zenon_H28b zenon_H193 zenon_H1a7 zenon_H19d zenon_H19e zenon_H14 zenon_H19b zenon_H28d zenon_H210. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H194 | zenon_intro zenon_H2e7 ]. % 49.23/49.41 apply (zenon_L154_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2e8 ]. % 49.23/49.41 apply (zenon_L161_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1be | zenon_intro zenon_H20b ]. % 49.23/49.41 apply (zenon_L162_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.23/49.41 apply (zenon_L165_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.23/49.41 apply (zenon_L166_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.41 apply (zenon_L156_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.41 apply (zenon_L167_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.41 apply (zenon_L169_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.23/49.41 apply (zenon_L156_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.23/49.41 apply (zenon_L158_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.23/49.41 apply (zenon_L170_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.23/49.41 apply (zenon_L171_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.23/49.41 apply (zenon_L172_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.23/49.41 apply (zenon_L173_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.23/49.41 apply (zenon_L171_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.23/49.41 apply (zenon_L174_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.23/49.41 apply (zenon_L175_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.23/49.41 apply (zenon_L176_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L167_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_L193_); trivial. % 49.23/49.41 apply (zenon_L194_); trivial. % 49.23/49.41 apply (zenon_L195_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.23/49.41 apply (zenon_L196_); trivial. % 49.23/49.41 apply (zenon_L213_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.23/49.41 apply (zenon_L159_); trivial. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.23/49.41 apply (zenon_L214_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.23/49.41 apply (zenon_L197_); trivial. % 49.23/49.41 apply (zenon_L216_); trivial. % 49.23/49.41 apply (zenon_L261_); trivial. % 49.23/49.41 (* end of lemma zenon_L262_ *) % 49.23/49.41 assert (zenon_L263_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e20)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2ed zenon_H14 zenon_H2ee. % 49.23/49.41 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2ed. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H14. % 49.23/49.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.41 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2ef]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e0 ]. % 49.23/49.41 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e20) = (op2 (e20) (e22)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2ef. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1e2. % 49.23/49.41 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.23/49.41 cut (((op2 (e20) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H2f0 zenon_H2ee). % 49.23/49.41 apply zenon_H1e0. apply refl_equal. % 49.23/49.41 apply zenon_H1e0. apply refl_equal. % 49.23/49.41 apply zenon_H1bf. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L263_ *) % 49.23/49.41 assert (zenon_L264_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H194 zenon_H2f2. % 49.23/49.41 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f2. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H208. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f3]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f3. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H2f1. % 49.23/49.41 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 apply zenon_H199. apply sym_equal. exact zenon_H194. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L264_ *) % 49.23/49.41 assert (zenon_L265_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e21) = (e23))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H1c8 zenon_H1ce zenon_H1d2. % 49.23/49.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.41 cut (((e23) = (e23)) = ((e21) = (e23))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1d2. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1a8. % 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.41 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e21)) = (e21)) = ((e23) = (e21))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1d3. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1c8. % 49.23/49.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.41 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H1cf zenon_H1ce). % 49.23/49.41 apply zenon_H1cb. apply refl_equal. % 49.23/49.41 apply zenon_H1a9. apply refl_equal. % 49.23/49.41 apply zenon_H1a9. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L265_ *) % 49.23/49.41 assert (zenon_L266_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H193 zenon_H2f4. % 49.23/49.41 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H208 | zenon_intro zenon_H209 ]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f4. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H208. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f5]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f5. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H2f1. % 49.23/49.41 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f6]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 apply zenon_H2f6. apply sym_equal. exact zenon_H193. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L266_ *) % 49.23/49.41 assert (zenon_L267_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f7 zenon_H2f1. % 49.23/49.41 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H1a9. apply refl_equal. % 49.23/49.41 apply zenon_H2f8. apply sym_equal. exact zenon_H2f1. % 49.23/49.41 (* end of lemma zenon_L267_ *) % 49.23/49.41 assert (zenon_L268_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H2b4 zenon_H2f1 zenon_H2a6. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2b4. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H21d. % 49.23/49.41 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f9. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1b5. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 49.23/49.41 congruence. % 49.23/49.41 apply (zenon_L267_); trivial. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6. % 49.23/49.41 (* end of lemma zenon_L268_ *) % 49.23/49.41 assert (zenon_L269_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H28b zenon_H298 zenon_H291 zenon_H20f zenon_H2bc zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H25a zenon_H2b4 zenon_H2f1 zenon_H214 zenon_H213 zenon_H297 zenon_H1d1. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.41 apply (zenon_L241_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H290 | zenon_intro zenon_H299 ]. % 49.23/49.41 apply (zenon_L217_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H295 | zenon_intro zenon_H29a ]. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L268_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L201_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L189_); trivial. % 49.23/49.41 apply (zenon_L243_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H215 | zenon_intro zenon_H229 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 (* end of lemma zenon_L269_ *) % 49.23/49.41 assert (zenon_L270_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H228 zenon_H20f zenon_H215. % 49.23/49.41 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H228. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H20f. % 49.23/49.41 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H233. apply refl_equal. % 49.23/49.41 apply zenon_H216. apply sym_equal. exact zenon_H215. % 49.23/49.41 (* end of lemma zenon_L270_ *) % 49.23/49.41 assert (zenon_L271_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H228 zenon_H1dd zenon_H19e zenon_H1d1 zenon_H19b zenon_H2af zenon_H1b4 zenon_H298 zenon_H291 zenon_H2bc zenon_H14 zenon_H1e6 zenon_H25a zenon_H2b4 zenon_H2f1 zenon_H213 zenon_H297 zenon_H285 zenon_H20f zenon_H28b. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L265_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.41 apply (zenon_L221_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.41 apply (zenon_L269_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.41 apply (zenon_L209_); trivial. % 49.23/49.41 apply (zenon_L270_); trivial. % 49.23/49.41 apply (zenon_L241_); trivial. % 49.23/49.41 (* end of lemma zenon_L271_ *) % 49.23/49.41 assert (zenon_L272_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H205 zenon_H2f1 zenon_H261. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H205. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H2f1. % 49.23/49.41 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b3]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H209. apply refl_equal. % 49.23/49.41 apply zenon_H2b3. apply sym_equal. exact zenon_H261. % 49.23/49.41 (* end of lemma zenon_L272_ *) % 49.23/49.41 assert (zenon_L273_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H206 zenon_H1a7. % 49.23/49.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.41 cut (((e23) = (e23)) = ((e20) = (e23))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1a7. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1a8. % 49.23/49.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.41 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((e23) = (e20))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1aa. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H2f1. % 49.23/49.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H20a]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H20a zenon_H206). % 49.23/49.41 apply zenon_H1a4. apply refl_equal. % 49.23/49.41 apply zenon_H1a9. apply refl_equal. % 49.23/49.41 apply zenon_H1a9. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L273_ *) % 49.23/49.41 assert (zenon_L274_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H2fa zenon_H2f1 zenon_H256. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2fa. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H21d. % 49.23/49.41 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f9. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1b5. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 49.23/49.41 congruence. % 49.23/49.41 apply (zenon_L267_); trivial. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H2fb. apply sym_equal. exact zenon_H256. % 49.23/49.41 (* end of lemma zenon_L274_ *) % 49.23/49.41 assert (zenon_L275_ : ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H256 zenon_H2f1 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L274_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L201_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L246_); trivial. % 49.23/49.41 apply (zenon_L247_); trivial. % 49.23/49.41 (* end of lemma zenon_L275_ *) % 49.23/49.41 assert (zenon_L276_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H256 zenon_H2f1 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L241_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_L275_); trivial. % 49.23/49.41 (* end of lemma zenon_L276_ *) % 49.23/49.41 assert (zenon_L277_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H227 zenon_H2a5 zenon_H225 zenon_H2a6. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.23/49.41 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2a5. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H22e. % 49.23/49.41 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.23/49.41 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ]. % 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H231. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H232. % 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.41 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 49.23/49.41 congruence. % 49.23/49.41 apply (zenon_L186_); trivial. % 49.23/49.41 apply zenon_H233. apply refl_equal. % 49.23/49.41 apply zenon_H233. apply refl_equal. % 49.23/49.41 apply zenon_H2a7. apply sym_equal. exact zenon_H2a6. % 49.23/49.41 (* end of lemma zenon_L277_ *) % 49.23/49.41 assert (zenon_L278_ : ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H2b4 zenon_H2a6 zenon_H225 zenon_H2a5 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L268_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L277_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L189_); trivial. % 49.23/49.41 apply (zenon_L247_); trivial. % 49.23/49.41 (* end of lemma zenon_L278_ *) % 49.23/49.41 assert (zenon_L279_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H256 zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2f1 zenon_H2b4 zenon_H225 zenon_H2a5 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.41 apply (zenon_L273_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L276_); trivial. % 49.23/49.41 apply (zenon_L278_); trivial. % 49.23/49.41 (* end of lemma zenon_L279_ *) % 49.23/49.41 assert (zenon_L280_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2a6 zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L268_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L227_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L189_); trivial. % 49.23/49.41 apply (zenon_L247_); trivial. % 49.23/49.41 (* end of lemma zenon_L280_ *) % 49.23/49.41 assert (zenon_L281_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H256 zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.41 apply (zenon_L273_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L276_); trivial. % 49.23/49.41 apply (zenon_L280_); trivial. % 49.23/49.41 (* end of lemma zenon_L281_ *) % 49.23/49.41 assert (zenon_L282_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H250 zenon_H1f0 zenon_H20b zenon_H28b zenon_H213 zenon_H2fa zenon_H25a zenon_H214 zenon_H264 zenon_H19b zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2b4 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.41 apply (zenon_L281_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 apply (zenon_L280_); trivial. % 49.23/49.41 (* end of lemma zenon_L282_ *) % 49.23/49.41 assert (zenon_L283_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2fc zenon_H205 zenon_H2a5 zenon_H256 zenon_H297 zenon_H1d1 zenon_H242 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H2f1 zenon_H2cb zenon_H1a7 zenon_H264 zenon_H214 zenon_H25a zenon_H2fa zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H1b4 zenon_H2af zenon_H19e zenon_H14 zenon_H19b zenon_H2c0. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ]. % 49.23/49.41 apply (zenon_L272_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ]. % 49.23/49.41 apply (zenon_L279_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ]. % 49.23/49.41 apply (zenon_L282_); trivial. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 (* end of lemma zenon_L283_ *) % 49.23/49.41 assert (zenon_L284_ : ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H19e zenon_H275 zenon_H203 zenon_H19b zenon_H2ff. % 49.23/49.41 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2ff. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H24b. % 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H300. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H19e. % 49.23/49.41 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 49.23/49.41 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H276. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H24b. % 49.23/49.41 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.23/49.41 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H2c6 zenon_H275). % 49.23/49.41 apply zenon_H24c. apply refl_equal. % 49.23/49.41 apply zenon_H24c. apply refl_equal. % 49.23/49.41 apply (zenon_L179_); trivial. % 49.23/49.41 apply zenon_H24c. apply refl_equal. % 49.23/49.41 apply zenon_H24c. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L284_ *) % 49.23/49.41 assert (zenon_L285_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2f1 zenon_H2c0 zenon_H14 zenon_H2ff zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.41 apply (zenon_L273_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L284_); trivial. % 49.23/49.41 apply (zenon_L256_); trivial. % 49.23/49.41 (* end of lemma zenon_L285_ *) % 49.23/49.41 assert (zenon_L286_ : ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H256 zenon_H2f1 zenon_H2fa zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L274_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L227_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L246_); trivial. % 49.23/49.41 apply (zenon_L228_); trivial. % 49.23/49.41 (* end of lemma zenon_L286_ *) % 49.23/49.41 assert (zenon_L287_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2a6 zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L268_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L227_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L189_); trivial. % 49.23/49.41 apply (zenon_L228_); trivial. % 49.23/49.41 (* end of lemma zenon_L287_ *) % 49.23/49.41 assert (zenon_L288_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H19b zenon_H264 zenon_H2fa zenon_H256 zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.41 apply (zenon_L273_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L286_); trivial. % 49.23/49.41 apply (zenon_L287_); trivial. % 49.23/49.41 (* end of lemma zenon_L288_ *) % 49.23/49.41 assert (zenon_L289_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H2fa zenon_H264 zenon_H19b zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2b4 zenon_H297 zenon_H1d1 zenon_H258 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.41 apply (zenon_L288_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 apply (zenon_L287_); trivial. % 49.23/49.41 (* end of lemma zenon_L289_ *) % 49.23/49.41 assert (zenon_L290_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H28d zenon_H19b zenon_H14 zenon_H19e zenon_H19d zenon_H1d2 zenon_H1c8 zenon_H28b zenon_H25e zenon_H2f1 zenon_H1a7. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.41 apply (zenon_L156_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.41 apply (zenon_L265_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.41 apply (zenon_L221_); trivial. % 49.23/49.41 apply (zenon_L273_); trivial. % 49.23/49.41 (* end of lemma zenon_L290_ *) % 49.23/49.41 assert (zenon_L291_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H1da zenon_H2fc zenon_H205 zenon_H2a5 zenon_H228 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H1c8 zenon_H1d2 zenon_H19d zenon_H28d zenon_H25a zenon_H213 zenon_H28b zenon_H20b zenon_H1f0 zenon_H250 zenon_H2bc zenon_H298 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H277 zenon_H1ad zenon_H1e6 zenon_H2b4 zenon_H2d4 zenon_H19b zenon_H2ff zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H2f1 zenon_H2fa zenon_H297 zenon_H1d1 zenon_H264 zenon_H14 zenon_H19e zenon_H291. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.23/49.41 apply (zenon_L175_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.23/49.41 apply (zenon_L176_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L265_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L271_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.41 apply (zenon_L160_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.41 apply (zenon_L283_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.41 apply (zenon_L219_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ]. % 49.23/49.41 apply (zenon_L272_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ]. % 49.23/49.41 apply (zenon_L278_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ]. % 49.23/49.41 apply (zenon_L280_); trivial. % 49.23/49.41 apply (zenon_L245_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.41 apply (zenon_L159_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L269_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_L283_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.41 apply (zenon_L285_); trivial. % 49.23/49.41 apply (zenon_L276_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.41 apply (zenon_L265_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.41 apply (zenon_L177_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.41 apply (zenon_L221_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L269_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L289_); trivial. % 49.23/49.41 apply (zenon_L282_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.41 apply (zenon_L209_); trivial. % 49.23/49.41 apply (zenon_L289_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.41 apply (zenon_L290_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.41 apply (zenon_L159_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L269_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_L281_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.41 apply (zenon_L285_); trivial. % 49.23/49.41 apply (zenon_L276_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.41 apply (zenon_L209_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.41 apply (zenon_L159_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.41 apply (zenon_L288_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.41 apply (zenon_L285_); trivial. % 49.23/49.41 apply (zenon_L286_); trivial. % 49.23/49.41 (* end of lemma zenon_L291_ *) % 49.23/49.41 assert (zenon_L292_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e20)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H301 zenon_H14 zenon_H302. % 49.23/49.41 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H301. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H14. % 49.23/49.41 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.23/49.41 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H303]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.41 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H303. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1e7. % 49.23/49.41 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.41 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H304]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H304 zenon_H302). % 49.23/49.41 apply zenon_H1e8. apply refl_equal. % 49.23/49.41 apply zenon_H1e8. apply refl_equal. % 49.23/49.41 apply zenon_H1bf. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L292_ *) % 49.23/49.41 assert (zenon_L293_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2fa zenon_H20b zenon_H305. % 49.23/49.41 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2fa. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H20b. % 49.23/49.41 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H306]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H306. apply sym_equal. exact zenon_H305. % 49.23/49.41 (* end of lemma zenon_L293_ *) % 49.23/49.41 assert (zenon_L294_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H1c8 zenon_H288 zenon_H210. % 49.23/49.41 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.41 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H210. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1f1. % 49.23/49.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.41 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e21)) = (e21)) = ((e22) = (e21))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H211. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1c8. % 49.23/49.41 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.41 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H289 zenon_H288). % 49.23/49.41 apply zenon_H1cb. apply refl_equal. % 49.23/49.41 apply zenon_H1c2. apply refl_equal. % 49.23/49.41 apply zenon_H1c2. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L294_ *) % 49.23/49.41 assert (zenon_L295_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e22))) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H28a zenon_H1f0. % 49.23/49.41 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.41 cut (((e22) = (e22)) = ((e20) = (e22))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1f0. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1f1. % 49.23/49.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.41 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 49.23/49.41 congruence. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e20)) = ((e22) = (e20))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H1f2. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H2f1. % 49.23/49.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.41 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2d7]. % 49.23/49.41 congruence. % 49.23/49.41 exact (zenon_H2d7 zenon_H28a). % 49.23/49.41 apply zenon_H1a4. apply refl_equal. % 49.23/49.41 apply zenon_H1c2. apply refl_equal. % 49.23/49.41 apply zenon_H1c2. apply refl_equal. % 49.23/49.41 (* end of lemma zenon_L295_ *) % 49.23/49.41 assert (zenon_L296_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H307 zenon_H1ce zenon_H238. % 49.23/49.41 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H307. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1ce. % 49.23/49.41 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 49.23/49.41 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 49.23/49.41 congruence. % 49.23/49.41 apply zenon_H197. apply refl_equal. % 49.23/49.41 apply zenon_H23e. apply sym_equal. exact zenon_H238. % 49.23/49.41 (* end of lemma zenon_L296_ *) % 49.23/49.41 assert (zenon_L297_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H217 zenon_H308 zenon_H2f1 zenon_H229. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H308. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H21d. % 49.23/49.41 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.41 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f9]. % 49.23/49.41 congruence. % 49.23/49.41 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e20)))). % 49.23/49.41 intro zenon_D_pnotp. % 49.23/49.41 apply zenon_H2f9. % 49.23/49.41 rewrite <- zenon_D_pnotp. % 49.23/49.41 exact zenon_H1b5. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.41 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 49.23/49.41 congruence. % 49.23/49.41 apply (zenon_L267_); trivial. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H1b6. apply refl_equal. % 49.23/49.41 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.41 (* end of lemma zenon_L297_ *) % 49.23/49.41 assert (zenon_L298_ : ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229 zenon_H242. % 49.23/49.41 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.41 apply (zenon_L297_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.41 apply (zenon_L187_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.41 apply (zenon_L246_); trivial. % 49.23/49.41 apply (zenon_L190_); trivial. % 49.23/49.41 (* end of lemma zenon_L298_ *) % 49.23/49.41 assert (zenon_L299_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.41 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H214 zenon_H213 zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.41 apply (zenon_L181_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.41 apply (zenon_L182_); trivial. % 49.23/49.41 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.41 apply (zenon_L183_); trivial. % 49.23/49.41 apply (zenon_L298_); trivial. % 49.23/49.41 (* end of lemma zenon_L299_ *) % 49.23/49.41 assert (zenon_L300_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H229 zenon_H241 zenon_H275 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ]. % 49.23/49.42 apply (zenon_L196_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ]. % 49.23/49.42 apply (zenon_L172_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ]. % 49.23/49.42 apply (zenon_L299_); trivial. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 (* end of lemma zenon_L300_ *) % 49.23/49.42 assert (zenon_L301_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H275 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L169_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_L300_); trivial. % 49.23/49.42 (* end of lemma zenon_L301_ *) % 49.23/49.42 assert (zenon_L302_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2cb zenon_H1a7 zenon_H2c0 zenon_H1fc zenon_H14 zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H213 zenon_H2f1 zenon_H308 zenon_H225 zenon_H228 zenon_H264 zenon_H241 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H2ff zenon_H1d2 zenon_H253 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.42 apply (zenon_L273_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.42 apply (zenon_L245_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L301_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 (* end of lemma zenon_L302_ *) % 49.23/49.42 assert (zenon_L303_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H264 zenon_H228 zenon_H225 zenon_H308 zenon_H2f1 zenon_H213 zenon_H20e zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L302_); trivial. % 49.23/49.42 apply (zenon_L301_); trivial. % 49.23/49.42 (* end of lemma zenon_L303_ *) % 49.23/49.42 assert (zenon_L304_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H1a7 zenon_H2cb zenon_H253 zenon_H1d2 zenon_H2ff zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H241 zenon_H264 zenon_H228 zenon_H308 zenon_H2f1 zenon_H213 zenon_H210 zenon_H20b zenon_H1f0 zenon_H250 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.23/49.42 apply (zenon_L170_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.23/49.42 apply (zenon_L171_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.23/49.42 apply (zenon_L172_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.23/49.42 apply (zenon_L173_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.23/49.42 apply (zenon_L171_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.23/49.42 apply (zenon_L174_); trivial. % 49.23/49.42 apply (zenon_L303_); trivial. % 49.23/49.42 (* end of lemma zenon_L304_ *) % 49.23/49.42 assert (zenon_L305_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e20) = (e21))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2f1 zenon_H260 zenon_H1c9. % 49.23/49.42 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ]. % 49.23/49.42 cut (((e21) = (e21)) = ((e20) = (e21))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1c9. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1ca. % 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.42 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 49.23/49.42 congruence. % 49.23/49.42 cut (((op2 (e20) (e23)) = (e20)) = ((e21) = (e20))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1cc. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H2f1. % 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.42 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H309]. % 49.23/49.42 congruence. % 49.23/49.42 exact (zenon_H309 zenon_H260). % 49.23/49.42 apply zenon_H1a4. apply refl_equal. % 49.23/49.42 apply zenon_H1cb. apply refl_equal. % 49.23/49.42 apply zenon_H1cb. apply refl_equal. % 49.23/49.42 (* end of lemma zenon_L305_ *) % 49.23/49.42 assert (zenon_L306_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H28b zenon_H2da zenon_H2fc zenon_H205 zenon_H2a5 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H1b4 zenon_H2af zenon_H2b4 zenon_H297 zenon_H291 zenon_H2d8 zenon_H1a7 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H19b zenon_H19e zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H264 zenon_H241 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H1ad zenon_H277 zenon_H1e6 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H14 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H2f1 zenon_H1c9. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H194 | zenon_intro zenon_H2e7 ]. % 49.23/49.42 apply (zenon_L264_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2e8 ]. % 49.23/49.42 apply (zenon_L161_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H1be | zenon_intro zenon_H20b ]. % 49.23/49.42 apply (zenon_L162_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.23/49.42 apply (zenon_L165_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.42 apply (zenon_L156_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.42 apply (zenon_L265_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.23/49.42 apply (zenon_L266_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.23/49.42 apply (zenon_L291_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.23/49.42 apply (zenon_L292_); trivial. % 49.23/49.42 apply (zenon_L293_); trivial. % 49.23/49.42 apply (zenon_L273_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.23/49.42 apply (zenon_L294_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.23/49.42 apply (zenon_L290_); trivial. % 49.23/49.42 apply (zenon_L295_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.23/49.42 apply (zenon_L156_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.23/49.42 apply (zenon_L266_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.23/49.42 apply (zenon_L304_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.23/49.42 apply (zenon_L292_); trivial. % 49.23/49.42 apply (zenon_L293_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.23/49.42 apply (zenon_L169_); trivial. % 49.23/49.42 apply (zenon_L273_); trivial. % 49.23/49.42 apply (zenon_L305_); trivial. % 49.23/49.42 (* end of lemma zenon_L306_ *) % 49.23/49.42 assert (zenon_L307_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e21) (op2 (e20) (e21))) = (e21))/\(((op2 (e22) (op2 (e20) (e22))) = (e22))/\((op2 (e23) (op2 (e20) (e23))) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H217 zenon_H228 zenon_H260 zenon_H229. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.23/49.42 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H228. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H21d. % 49.23/49.42 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.42 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a8]. % 49.23/49.42 congruence. % 49.23/49.42 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H232 | zenon_intro zenon_H233 ]. % 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e21)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H2a8. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H232. % 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 49.23/49.42 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 49.23/49.42 congruence. % 49.23/49.42 apply (zenon_L225_); trivial. % 49.23/49.42 apply zenon_H233. apply refl_equal. % 49.23/49.42 apply zenon_H233. apply refl_equal. % 49.23/49.42 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.42 (* end of lemma zenon_L307_ *) % 49.23/49.42 assert (zenon_L308_ : (((op2 (e20) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e22) (op2 (e21) (e22))) = (e22))/\((op2 (e23) (op2 (e21) (e23))) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H227 zenon_H1ad zenon_H1da zenon_H30d. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.23/49.42 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1ad. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H22d. % 49.23/49.42 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30e]. % 49.23/49.42 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 49.23/49.42 congruence. % 49.23/49.42 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d8 ]. % 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H30f. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1d7. % 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1d8]. % 49.23/49.42 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H310]. % 49.23/49.42 congruence. % 49.23/49.42 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.42 congruence. % 49.23/49.42 apply zenon_H1cb. apply refl_equal. % 49.23/49.42 apply zenon_H311. apply sym_equal. exact zenon_H1da. % 49.23/49.42 apply zenon_H1d8. apply refl_equal. % 49.23/49.42 apply zenon_H1d8. apply refl_equal. % 49.23/49.42 apply zenon_H30e. apply sym_equal. exact zenon_H30d. % 49.23/49.42 (* end of lemma zenon_L308_ *) % 49.23/49.42 assert (zenon_L309_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H229 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L307_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L308_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L228_); trivial. % 49.23/49.42 (* end of lemma zenon_L309_ *) % 49.23/49.42 assert (zenon_L310_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229 zenon_H242. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L307_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L308_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L190_); trivial. % 49.23/49.42 (* end of lemma zenon_L310_ *) % 49.23/49.42 assert (zenon_L311_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H241 zenon_H229. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.42 apply (zenon_L181_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.42 apply (zenon_L182_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.42 apply (zenon_L309_); trivial. % 49.23/49.42 apply (zenon_L310_); trivial. % 49.23/49.42 (* end of lemma zenon_L311_ *) % 49.23/49.42 assert (zenon_L312_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H305 zenon_H20e zenon_H1c9. % 49.23/49.42 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ]. % 49.23/49.42 cut (((e21) = (e21)) = ((e20) = (e21))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1c9. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1ca. % 49.23/49.42 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.23/49.42 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 49.23/49.42 congruence. % 49.23/49.42 cut (((op2 (e23) (e21)) = (e20)) = ((e21) = (e20))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1cc. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H305. % 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.42 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H312]. % 49.23/49.42 congruence. % 49.23/49.42 exact (zenon_H312 zenon_H20e). % 49.23/49.42 apply zenon_H1a4. apply refl_equal. % 49.23/49.42 apply zenon_H1cb. apply refl_equal. % 49.23/49.42 apply zenon_H1cb. apply refl_equal. % 49.23/49.42 (* end of lemma zenon_L312_ *) % 49.23/49.42 assert (zenon_L313_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H313 zenon_H314. % 49.23/49.42 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H315]. % 49.23/49.42 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.42 congruence. % 49.23/49.42 apply zenon_H1a9. apply refl_equal. % 49.23/49.42 apply zenon_H315. apply sym_equal. exact zenon_H314. % 49.23/49.42 (* end of lemma zenon_L313_ *) % 49.23/49.42 assert (zenon_L314_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H240 zenon_H308 zenon_H314 zenon_H229. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.42 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H308. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H247. % 49.23/49.42 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.23/49.42 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 49.23/49.42 congruence. % 49.23/49.42 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H316. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1b5. % 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 49.23/49.42 congruence. % 49.23/49.42 apply (zenon_L313_); trivial. % 49.23/49.42 apply zenon_H1b6. apply refl_equal. % 49.23/49.42 apply zenon_H1b6. apply refl_equal. % 49.23/49.42 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.23/49.42 (* end of lemma zenon_L314_ *) % 49.23/49.42 assert (zenon_L315_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H314 zenon_H229. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L307_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L308_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L314_); trivial. % 49.23/49.42 (* end of lemma zenon_L315_ *) % 49.23/49.42 assert (zenon_L316_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H29c zenon_H2a0 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H314 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L224_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.42 apply (zenon_L198_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.42 apply (zenon_L245_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L315_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 (* end of lemma zenon_L316_ *) % 49.23/49.42 assert (zenon_L317_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((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 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H317 zenon_H205 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H29c zenon_H2a0 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L194_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.42 apply (zenon_L180_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.42 apply (zenon_L245_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L311_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.23/49.42 apply (zenon_L312_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.23/49.42 apply (zenon_L217_); trivial. % 49.23/49.42 apply (zenon_L316_); trivial. % 49.23/49.42 (* end of lemma zenon_L317_ *) % 49.23/49.42 assert (zenon_L318_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H297 zenon_H213 zenon_H214 zenon_H1de zenon_H298 zenon_H1fc zenon_H2ff zenon_H19b zenon_H317 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L317_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L220_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.23/49.42 apply (zenon_L311_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.23/49.42 apply (zenon_L312_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.23/49.42 apply (zenon_L217_); trivial. % 49.23/49.42 apply (zenon_L315_); trivial. % 49.23/49.42 (* end of lemma zenon_L318_ *) % 49.23/49.42 assert (zenon_L319_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H14 zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H260. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.23/49.42 apply (zenon_L222_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.23/49.42 apply (zenon_L312_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.23/49.42 apply (zenon_L218_); trivial. % 49.23/49.42 apply (zenon_L223_); trivial. % 49.23/49.42 (* end of lemma zenon_L319_ *) % 49.23/49.42 assert (zenon_L320_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H31a zenon_H19e zenon_H1ce zenon_H2b7 zenon_H19b. % 49.23/49.42 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H31a. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H19e. % 49.23/49.42 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b6]. % 49.23/49.42 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H31b]. % 49.23/49.42 congruence. % 49.23/49.42 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 49.23/49.42 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H31b. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H196. % 49.23/49.42 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 49.23/49.42 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 49.23/49.42 congruence. % 49.23/49.42 exact (zenon_H1cf zenon_H1ce). % 49.23/49.42 apply zenon_H197. apply refl_equal. % 49.23/49.42 apply zenon_H197. apply refl_equal. % 49.23/49.42 apply (zenon_L239_); trivial. % 49.23/49.42 (* end of lemma zenon_L320_ *) % 49.23/49.42 assert (zenon_L321_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H1dd zenon_H25e zenon_H214. % 49.23/49.42 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1dd. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H25e. % 49.23/49.42 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26a]. % 49.23/49.42 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e0]. % 49.23/49.42 congruence. % 49.23/49.42 apply zenon_H1e0. apply refl_equal. % 49.23/49.42 apply zenon_H26a. apply sym_equal. exact zenon_H214. % 49.23/49.42 (* end of lemma zenon_L321_ *) % 49.23/49.42 assert (zenon_L322_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H282 zenon_H25a zenon_H295 zenon_H213 zenon_H25e zenon_H1dd zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H25b | zenon_intro zenon_H283 ]. % 49.23/49.42 apply (zenon_L196_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H1de | zenon_intro zenon_H284 ]. % 49.23/49.42 apply (zenon_L218_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H214 | zenon_intro zenon_H1fb ]. % 49.23/49.42 apply (zenon_L321_); trivial. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 (* end of lemma zenon_L322_ *) % 49.23/49.42 assert (zenon_L323_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2cf zenon_H210 zenon_H260 zenon_H218 zenon_H305 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H1ce zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.23/49.42 apply (zenon_L197_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.23/49.42 apply (zenon_L319_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.23/49.42 apply (zenon_L320_); trivial. % 49.23/49.42 apply (zenon_L322_); trivial. % 49.23/49.42 (* end of lemma zenon_L323_ *) % 49.23/49.42 assert (zenon_L324_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1de zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H28b zenon_H2ff zenon_H317 zenon_H241 zenon_H20e zenon_H1f0 zenon_H250 zenon_H1fc zenon_H19b zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H1ce zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L317_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L221_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.23/49.42 apply (zenon_L311_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.23/49.42 apply (zenon_L323_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.23/49.42 apply (zenon_L217_); trivial. % 49.23/49.42 apply (zenon_L315_); trivial. % 49.23/49.42 (* end of lemma zenon_L324_ *) % 49.23/49.42 assert (zenon_L325_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H2ff zenon_H275 zenon_H19e zenon_H27b zenon_H19b zenon_H213. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L209_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_L210_); trivial. % 49.23/49.42 (* end of lemma zenon_L325_ *) % 49.23/49.42 assert (zenon_L326_ : ((op2 (e23) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2a6 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L226_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L227_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L228_); trivial. % 49.23/49.42 (* end of lemma zenon_L326_ *) % 49.23/49.42 assert (zenon_L327_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1de zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H260 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H258 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L224_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L219_); trivial. % 49.23/49.42 apply (zenon_L326_); trivial. % 49.23/49.42 (* end of lemma zenon_L327_ *) % 49.23/49.42 assert (zenon_L328_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((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 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2d9 zenon_H291 zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H19b zenon_H2ff zenon_H1fc zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H253 zenon_H317 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H308 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H1ce zenon_H277 zenon_H1dd zenon_H298 zenon_H28b zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H285 zenon_H19d zenon_H1ec zenon_H2da zenon_H1e6 zenon_H2e6 zenon_H205 zenon_H260. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.23/49.42 apply (zenon_L170_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.23/49.42 apply (zenon_L171_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.23/49.42 apply (zenon_L265_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.23/49.42 apply (zenon_L171_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.23/49.42 apply (zenon_L174_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.23/49.42 apply (zenon_L175_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.23/49.42 apply (zenon_L176_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.23/49.42 apply (zenon_L318_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.42 apply (zenon_L324_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.42 apply (zenon_L318_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L317_); trivial. % 49.23/49.42 apply (zenon_L325_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L317_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L327_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_L309_); trivial. % 49.23/49.42 apply (zenon_L232_); trivial. % 49.23/49.42 (* end of lemma zenon_L328_ *) % 49.23/49.42 assert (zenon_L329_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L226_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L235_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L228_); trivial. % 49.23/49.42 (* end of lemma zenon_L329_ *) % 49.23/49.42 assert (zenon_L330_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H31c zenon_H308 zenon_H218 zenon_H229 zenon_H241 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H291 zenon_H215. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ]. % 49.23/49.42 apply (zenon_L315_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ]. % 49.23/49.42 apply (zenon_L223_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L310_); trivial. % 49.23/49.42 apply (zenon_L329_); trivial. % 49.23/49.42 (* end of lemma zenon_L330_ *) % 49.23/49.42 assert (zenon_L331_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H229. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.42 apply (zenon_L181_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.42 apply (zenon_L182_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.42 apply (zenon_L330_); trivial. % 49.23/49.42 apply (zenon_L310_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.23/49.42 apply (zenon_L312_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.23/49.42 apply (zenon_L217_); trivial. % 49.23/49.42 apply (zenon_L315_); trivial. % 49.23/49.42 (* end of lemma zenon_L331_ *) % 49.23/49.42 assert (zenon_L332_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1d2 zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H308 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L194_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.42 apply (zenon_L180_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.42 apply (zenon_L245_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L331_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 (* end of lemma zenon_L332_ *) % 49.23/49.42 assert (zenon_L333_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H1d2 zenon_H2c0 zenon_H1de zenon_H1b4 zenon_H2af zenon_H205 zenon_H253 zenon_H28b zenon_H2ff zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H19b zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H1ce zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.23/49.42 apply (zenon_L265_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.23/49.42 apply (zenon_L171_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.23/49.42 apply (zenon_L174_); trivial. % 49.23/49.42 apply (zenon_L324_); trivial. % 49.23/49.42 (* end of lemma zenon_L333_ *) % 49.23/49.42 assert (zenon_L334_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H264 zenon_H317 zenon_H205 zenon_H241 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H308 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H291 zenon_H19e zenon_H14 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H260 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1de zenon_H213 zenon_H218 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H20e zenon_H1d2. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.23/49.42 apply (zenon_L175_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.23/49.42 apply (zenon_L176_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.23/49.42 apply (zenon_L220_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.23/49.42 apply (zenon_L333_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.23/49.42 apply (zenon_L220_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.23/49.42 apply (zenon_L209_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L230_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_L317_); trivial. % 49.23/49.42 apply (zenon_L327_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.23/49.42 apply (zenon_L177_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.23/49.42 apply (zenon_L231_); trivial. % 49.23/49.42 apply (zenon_L194_); trivial. % 49.23/49.42 (* end of lemma zenon_L334_ *) % 49.23/49.42 assert (zenon_L335_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e20) = (e23))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H305 zenon_H256 zenon_H1a7. % 49.23/49.42 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.23/49.42 cut (((e23) = (e23)) = ((e20) = (e23))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1a7. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1a8. % 49.23/49.42 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.23/49.42 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 49.23/49.42 congruence. % 49.23/49.42 cut (((op2 (e23) (e21)) = (e20)) = ((e23) = (e20))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1aa. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H305. % 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.42 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 49.23/49.42 congruence. % 49.23/49.42 exact (zenon_H257 zenon_H256). % 49.23/49.42 apply zenon_H1a4. apply refl_equal. % 49.23/49.42 apply zenon_H1a9. apply refl_equal. % 49.23/49.42 apply zenon_H1a9. apply refl_equal. % 49.23/49.42 (* end of lemma zenon_L335_ *) % 49.23/49.42 assert (zenon_L336_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e20) = (e22))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H261 zenon_H258 zenon_H1f0. % 49.23/49.42 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.23/49.42 cut (((e22) = (e22)) = ((e20) = (e22))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1f0. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1f1. % 49.23/49.42 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.23/49.42 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 49.23/49.42 congruence. % 49.23/49.42 cut (((op2 (e21) (e23)) = (e20)) = ((e22) = (e20))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H1f2. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H261. % 49.23/49.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 49.23/49.42 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 49.23/49.42 congruence. % 49.23/49.42 exact (zenon_H259 zenon_H258). % 49.23/49.42 apply zenon_H1a4. apply refl_equal. % 49.23/49.42 apply zenon_H1c2. apply refl_equal. % 49.23/49.42 apply zenon_H1c2. apply refl_equal. % 49.23/49.42 (* end of lemma zenon_L336_ *) % 49.23/49.42 assert (zenon_L337_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H228 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H308 zenon_H314 zenon_H229. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L307_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L201_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L314_); trivial. % 49.23/49.42 (* end of lemma zenon_L337_ *) % 49.23/49.42 assert (zenon_L338_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2b4 zenon_H20c zenon_H242. % 49.23/49.42 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H2b4. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H20c. % 49.23/49.42 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 49.23/49.42 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.23/49.42 congruence. % 49.23/49.42 apply zenon_H1b6. apply refl_equal. % 49.23/49.42 apply zenon_H249. apply sym_equal. exact zenon_H242. % 49.23/49.42 (* end of lemma zenon_L338_ *) % 49.23/49.42 assert (zenon_L339_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H242 zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.23/49.42 apply (zenon_L293_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.23/49.42 apply (zenon_L222_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.23/49.42 apply (zenon_L338_); trivial. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 (* end of lemma zenon_L339_ *) % 49.23/49.42 assert (zenon_L340_ : (((op2 (e20) (op2 (e23) (e20))) = (e20))/\(((op2 (e21) (op2 (e23) (e21))) = (e21))/\(((op2 (e22) (op2 (e23) (e22))) = (e22))/\((op2 (e23) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H240 zenon_H322 zenon_H295 zenon_H323. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.23/49.42 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.23/49.42 cut (((op2 (e22) (op2 (e23) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H322. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H248. % 49.23/49.42 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 49.23/49.42 cut (((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 49.23/49.42 congruence. % 49.23/49.42 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e8 ]. % 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e23) (e22))) = (op2 (e22) (e21)))). % 49.23/49.42 intro zenon_D_pnotp. % 49.23/49.42 apply zenon_H2be. % 49.23/49.42 rewrite <- zenon_D_pnotp. % 49.23/49.42 exact zenon_H1e7. % 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 49.23/49.42 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H2bb]. % 49.23/49.42 congruence. % 49.23/49.42 apply (zenon_L242_); trivial. % 49.23/49.42 apply zenon_H1e8. apply refl_equal. % 49.23/49.42 apply zenon_H1e8. apply refl_equal. % 49.23/49.42 apply zenon_H324. apply sym_equal. exact zenon_H323. % 49.23/49.42 (* end of lemma zenon_L340_ *) % 49.23/49.42 assert (zenon_L341_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L226_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L235_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L340_); trivial. % 49.23/49.42 (* end of lemma zenon_L341_ *) % 49.23/49.42 assert (zenon_L342_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H2bc zenon_H295 zenon_H20f. % 49.23/49.42 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.23/49.42 apply (zenon_L226_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.23/49.42 apply (zenon_L235_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.23/49.42 apply (zenon_L246_); trivial. % 49.23/49.42 apply (zenon_L243_); trivial. % 49.23/49.42 (* end of lemma zenon_L342_ *) % 49.23/49.42 assert (zenon_L343_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H20f zenon_H295 zenon_H2bc zenon_H275 zenon_H264 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H218 zenon_H228 zenon_H25a zenon_H214 zenon_H308 zenon_H229 zenon_H31c zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.23/49.42 apply (zenon_L293_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.23/49.42 apply (zenon_L222_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ]. % 49.23/49.42 apply (zenon_L337_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ]. % 49.23/49.42 apply (zenon_L223_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L338_); trivial. % 49.23/49.42 apply (zenon_L342_); trivial. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 (* end of lemma zenon_L343_ *) % 49.23/49.42 assert (zenon_L344_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2a0 zenon_H1c9 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H31c zenon_H229 zenon_H308 zenon_H214 zenon_H25a zenon_H228 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H275 zenon_H2bc zenon_H20f zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H218 zenon_H260. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.23/49.42 apply (zenon_L222_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.23/49.42 apply (zenon_L312_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.23/49.42 apply (zenon_L343_); trivial. % 49.23/49.42 apply (zenon_L223_); trivial. % 49.23/49.42 (* end of lemma zenon_L344_ *) % 49.23/49.42 assert (zenon_L345_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H275 zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H229 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.23/49.42 apply (zenon_L260_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.23/49.42 apply (zenon_L336_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H314 | zenon_intro zenon_H31d ]. % 49.23/49.42 apply (zenon_L337_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H26d | zenon_intro zenon_H31e ]. % 49.23/49.42 apply (zenon_L223_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H242 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L339_); trivial. % 49.23/49.42 apply (zenon_L341_); trivial. % 49.23/49.42 apply (zenon_L338_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.23/49.42 apply (zenon_L344_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.23/49.42 apply (zenon_L183_); trivial. % 49.23/49.42 apply (zenon_L339_); trivial. % 49.23/49.42 (* end of lemma zenon_L345_ *) % 49.23/49.42 assert (zenon_L346_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.23/49.42 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L335_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L219_); trivial. % 49.23/49.42 apply (zenon_L341_); trivial. % 49.23/49.42 (* end of lemma zenon_L346_ *) % 49.23/49.42 assert (zenon_L347_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.23/49.42 apply (zenon_L260_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.23/49.42 apply (zenon_L336_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.23/49.42 apply (zenon_L346_); trivial. % 49.23/49.42 apply (zenon_L248_); trivial. % 49.23/49.42 (* end of lemma zenon_L347_ *) % 49.23/49.42 assert (zenon_L348_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H253 zenon_H297 zenon_H241 zenon_H2af zenon_H1a7 zenon_H1fc zenon_H2ff zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H275 zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.23/49.42 apply (zenon_L347_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.23/49.42 apply (zenon_L178_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.23/49.42 apply (zenon_L284_); trivial. % 49.23/49.42 apply (zenon_L345_); trivial. % 49.23/49.42 (* end of lemma zenon_L348_ *) % 49.23/49.42 assert (zenon_L349_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.23/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H297 zenon_H241 zenon_H2af zenon_H1a7 zenon_H1fc zenon_H2ff zenon_H250 zenon_H322 zenon_H295 zenon_H1f0 zenon_H210 zenon_H325 zenon_H260 zenon_H218 zenon_H2bc zenon_H264 zenon_H261 zenon_H2a5 zenon_H228 zenon_H25a zenon_H308 zenon_H31c zenon_H1c9 zenon_H2a0 zenon_H214 zenon_H213 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.23/49.42 apply (zenon_L159_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.23/49.42 apply (zenon_L296_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.23/49.42 apply (zenon_L160_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.23/49.42 apply (zenon_L335_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.23/49.42 apply (zenon_L180_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.23/49.42 apply (zenon_L245_); trivial. % 49.23/49.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.23/49.42 apply (zenon_L345_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_L256_); trivial. % 49.23/49.42 apply (zenon_L348_); trivial. % 49.23/49.42 (* end of lemma zenon_L349_ *) % 49.23/49.42 assert (zenon_L350_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.27/49.42 do 0 intro. intros zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H213 zenon_H214 zenon_H2a0 zenon_H1c9 zenon_H31c zenon_H308 zenon_H25a zenon_H228 zenon_H2a5 zenon_H261 zenon_H264 zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2ff zenon_H1fc zenon_H1a7 zenon_H2af zenon_H241 zenon_H297 zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H218 zenon_H260. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.42 apply (zenon_L222_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.42 apply (zenon_L312_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.42 apply (zenon_L349_); trivial. % 49.27/49.42 apply (zenon_L223_); trivial. % 49.27/49.42 (* end of lemma zenon_L350_ *) % 49.27/49.42 assert (zenon_L351_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.42 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1ce zenon_H307 zenon_H2d4 zenon_H305 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H253 zenon_H1dd zenon_H1fc zenon_H14 zenon_H2ff zenon_H19e zenon_H27b zenon_H19b zenon_H213. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.42 apply (zenon_L159_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.42 apply (zenon_L296_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.42 apply (zenon_L160_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.42 apply (zenon_L335_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.42 apply (zenon_L210_); trivial. % 49.27/49.42 apply (zenon_L256_); trivial. % 49.27/49.42 apply (zenon_L325_); trivial. % 49.27/49.42 (* end of lemma zenon_L351_ *) % 49.27/49.42 assert (zenon_L352_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.27/49.42 do 0 intro. intros zenon_H2d9 zenon_H308 zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H291 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H1ce zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H19b zenon_H1fc zenon_H250 zenon_H1f0 zenon_H241 zenon_H317 zenon_H2ff zenon_H28b zenon_H253 zenon_H2af zenon_H1b4 zenon_H2c0 zenon_H1d2 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H205 zenon_H260. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.42 apply (zenon_L170_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.42 apply (zenon_L171_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.42 apply (zenon_L333_); trivial. % 49.27/49.42 apply (zenon_L232_); trivial. % 49.27/49.42 (* end of lemma zenon_L352_ *) % 49.27/49.42 assert (zenon_L353_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 49.27/49.42 do 0 intro. intros zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H1d2 zenon_H1b4 zenon_H2af zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H2ff zenon_H19b zenon_H317 zenon_H241 zenon_H31c zenon_H218 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H291 zenon_H260 zenon_H228 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H308. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.27/49.42 apply (zenon_L265_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.27/49.42 apply (zenon_L171_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.27/49.42 apply (zenon_L174_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.42 apply (zenon_L159_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.42 apply (zenon_L296_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.42 apply (zenon_L332_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.42 apply (zenon_L221_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.42 apply (zenon_L178_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.42 apply (zenon_L284_); trivial. % 49.27/49.42 apply (zenon_L331_); trivial. % 49.27/49.42 (* end of lemma zenon_L353_ *) % 49.27/49.42 assert (zenon_L354_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.27/49.42 do 0 intro. intros zenon_H28d zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H1a7 zenon_H308 zenon_H264 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H25e zenon_H260 zenon_H1d2. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.42 apply (zenon_L156_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.42 apply (zenon_L156_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.42 apply (zenon_L158_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.42 apply (zenon_L352_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.42 apply (zenon_L196_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.42 apply (zenon_L167_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.42 apply (zenon_L353_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.42 apply (zenon_L292_); trivial. % 49.27/49.42 apply (zenon_L323_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.42 apply (zenon_L159_); trivial. % 49.27/49.42 apply (zenon_L160_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.42 apply (zenon_L221_); trivial. % 49.27/49.42 apply (zenon_L198_); trivial. % 49.27/49.42 (* end of lemma zenon_L354_ *) % 49.27/49.42 assert (zenon_L355_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.42 do 0 intro. intros zenon_H328 zenon_H2ed zenon_H215 zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H2ee | zenon_intro zenon_H329 ]. % 49.27/49.42 apply (zenon_L263_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H32a ]. % 49.27/49.42 apply (zenon_L212_); trivial. % 49.27/49.42 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H25e | zenon_intro zenon_H1d1 ]. % 49.27/49.42 apply (zenon_L354_); trivial. % 49.27/49.42 apply (zenon_L346_); trivial. % 49.27/49.42 (* end of lemma zenon_L355_ *) % 49.27/49.42 assert (zenon_L356_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H323 zenon_H295 zenon_H322 zenon_H14 zenon_H264 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H305 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H215 zenon_H2ed zenon_H328 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.43 apply (zenon_L180_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.43 apply (zenon_L245_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L355_); trivial. % 49.27/49.43 apply (zenon_L256_); trivial. % 49.27/49.43 (* end of lemma zenon_L356_ *) % 49.27/49.43 assert (zenon_L357_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H285 zenon_H2fa zenon_H31f zenon_H2bc zenon_H325 zenon_H1ce zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H264 zenon_H14 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.43 apply (zenon_L322_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.43 apply (zenon_L349_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.43 apply (zenon_L351_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.43 apply (zenon_L296_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.43 apply (zenon_L356_); trivial. % 49.27/49.43 apply (zenon_L355_); trivial. % 49.27/49.43 (* end of lemma zenon_L357_ *) % 49.27/49.43 assert (zenon_L358_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H295 zenon_H322 zenon_H264 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H1ce zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.43 apply (zenon_L260_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.43 apply (zenon_L336_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.43 apply (zenon_L357_); trivial. % 49.27/49.43 apply (zenon_L339_); trivial. % 49.27/49.43 (* end of lemma zenon_L358_ *) % 49.27/49.43 assert (zenon_L359_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2d9 zenon_H1d2 zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H19b zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1e6 zenon_H14 zenon_H19e zenon_H291 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H25a zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H2cb zenon_H2c0 zenon_H308 zenon_H1ad zenon_H1da zenon_H30d zenon_H228 zenon_H1c9 zenon_H250 zenon_H1f0 zenon_H210 zenon_H241 zenon_H317 zenon_H264 zenon_H2ce zenon_H19d zenon_H1ec zenon_H2da zenon_H205 zenon_H260. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.43 apply (zenon_L170_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.43 apply (zenon_L175_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.43 apply (zenon_L176_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.43 apply (zenon_L220_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.43 apply (zenon_L265_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.43 apply (zenon_L177_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.43 apply (zenon_L231_); trivial. % 49.27/49.43 apply (zenon_L224_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.27/49.43 apply (zenon_L174_); trivial. % 49.27/49.43 apply (zenon_L334_); trivial. % 49.27/49.43 apply (zenon_L232_); trivial. % 49.27/49.43 (* end of lemma zenon_L359_ *) % 49.27/49.43 assert (zenon_L360_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e22))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1da zenon_H1d1 zenon_H297 zenon_H213 zenon_H1de zenon_H14 zenon_H291 zenon_H298 zenon_H261 zenon_H1f0. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.43 apply (zenon_L175_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.43 apply (zenon_L176_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.43 apply (zenon_L220_); trivial. % 49.27/49.43 apply (zenon_L336_); trivial. % 49.27/49.43 (* end of lemma zenon_L360_ *) % 49.27/49.43 assert (zenon_L361_ : ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H260 zenon_H2a5 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.43 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.43 apply (zenon_L226_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.43 apply (zenon_L235_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.43 apply (zenon_L189_); trivial. % 49.27/49.43 apply (zenon_L340_); trivial. % 49.27/49.43 (* end of lemma zenon_L361_ *) % 49.27/49.43 assert (zenon_L362_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_L361_); trivial. % 49.27/49.43 (* end of lemma zenon_L362_ *) % 49.27/49.43 assert (zenon_L363_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H19e zenon_H238 zenon_H14 zenon_H1e6 zenon_H261 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H2b4 zenon_H20c. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.43 apply (zenon_L260_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.43 apply (zenon_L336_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.43 apply (zenon_L362_); trivial. % 49.27/49.43 apply (zenon_L338_); trivial. % 49.27/49.43 (* end of lemma zenon_L363_ *) % 49.27/49.43 assert (zenon_L364_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_L236_); trivial. % 49.27/49.43 (* end of lemma zenon_L364_ *) % 49.27/49.43 assert (zenon_L365_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H242 zenon_H1d1 zenon_H297. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_L250_); trivial. % 49.27/49.43 (* end of lemma zenon_L365_ *) % 49.27/49.43 assert (zenon_L366_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (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 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H295 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.43 apply (zenon_L363_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.43 apply (zenon_L244_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.43 apply (zenon_L364_); trivial. % 49.27/49.43 apply (zenon_L365_); trivial. % 49.27/49.43 (* end of lemma zenon_L366_ *) % 49.27/49.43 assert (zenon_L367_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H14 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_L256_); trivial. % 49.27/49.43 (* end of lemma zenon_L367_ *) % 49.27/49.43 assert (zenon_L368_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H1e6 zenon_H291 zenon_H28b zenon_H2bc zenon_H250 zenon_H2d4 zenon_H325 zenon_H210 zenon_H1f0 zenon_H295 zenon_H322 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H305 zenon_H1a7 zenon_H19b zenon_H1b4 zenon_H2af zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.43 apply (zenon_L366_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.43 apply (zenon_L367_); trivial. % 49.27/49.43 apply (zenon_L347_); trivial. % 49.27/49.43 (* end of lemma zenon_L368_ *) % 49.27/49.43 assert (zenon_L369_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (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 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.43 apply (zenon_L169_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.43 apply (zenon_L220_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.43 apply (zenon_L240_); trivial. % 49.27/49.43 apply (zenon_L366_); trivial. % 49.27/49.43 (* end of lemma zenon_L369_ *) % 49.27/49.43 assert (zenon_L370_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (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)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2ce zenon_H264 zenon_H25a zenon_H241 zenon_H2d4 zenon_H1ad zenon_H277 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H1f5 zenon_H297 zenon_H1d1 zenon_H19e zenon_H14 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H2a5 zenon_H260 zenon_H19b zenon_H1b4 zenon_H2af zenon_H291 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2b9 zenon_H298 zenon_H214 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H305 zenon_H1a7. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.43 apply (zenon_L169_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.43 apply (zenon_L319_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.43 apply (zenon_L320_); trivial. % 49.27/49.43 apply (zenon_L368_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.43 apply (zenon_L177_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.43 apply (zenon_L369_); trivial. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 (* end of lemma zenon_L370_ *) % 49.27/49.43 assert (zenon_L371_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H291 zenon_H264 zenon_H2b4 zenon_H2a5 zenon_H260 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H1e6 zenon_H277 zenon_H1dd zenon_H2ce zenon_H25a zenon_H241 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H250 zenon_H2b9 zenon_H298 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H194 zenon_H195 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.43 apply (zenon_L156_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.43 apply (zenon_L158_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.43 apply (zenon_L359_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.43 apply (zenon_L196_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.43 apply (zenon_L154_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.43 apply (zenon_L170_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.43 apply (zenon_L360_); trivial. % 49.27/49.43 apply (zenon_L232_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.43 apply (zenon_L292_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.43 apply (zenon_L354_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.43 apply (zenon_L370_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.43 apply (zenon_L209_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.43 apply (zenon_L364_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.43 apply (zenon_L367_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L335_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_L329_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 (* end of lemma zenon_L371_ *) % 49.27/49.43 assert (zenon_L372_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H195 zenon_H194 zenon_H2da zenon_H1ec zenon_H285 zenon_H1ba zenon_H19d zenon_H1fc zenon_H282 zenon_H301 zenon_H2e6 zenon_H307 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H31c zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2cf zenon_H213 zenon_H298 zenon_H2b9 zenon_H250 zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H1f5 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H241 zenon_H25a zenon_H2ce zenon_H1dd zenon_H277 zenon_H1e6 zenon_H2d4 zenon_H2af zenon_H1a7 zenon_H297 zenon_H2a5 zenon_H2b4 zenon_H264 zenon_H291 zenon_H260 zenon_H1d2. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.43 apply (zenon_L156_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.43 apply (zenon_L156_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.43 apply (zenon_L158_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.43 apply (zenon_L328_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.43 apply (zenon_L196_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.43 apply (zenon_L167_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.43 apply (zenon_L170_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.27/49.43 apply (zenon_L265_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.27/49.43 apply (zenon_L174_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.43 apply (zenon_L296_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.43 apply (zenon_L332_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.43 apply (zenon_L334_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.43 apply (zenon_L178_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.43 apply (zenon_L284_); trivial. % 49.27/49.43 apply (zenon_L331_); trivial. % 49.27/49.43 apply (zenon_L232_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.43 apply (zenon_L292_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.43 apply (zenon_L197_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.43 apply (zenon_L350_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.43 apply (zenon_L351_); trivial. % 49.27/49.43 apply (zenon_L212_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.43 apply (zenon_L319_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.43 apply (zenon_L320_); trivial. % 49.27/49.43 apply (zenon_L358_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.43 apply (zenon_L159_); trivial. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.43 apply (zenon_L371_); trivial. % 49.27/49.43 apply (zenon_L198_); trivial. % 49.27/49.43 (* end of lemma zenon_L372_ *) % 49.27/49.43 assert (zenon_L373_ : ((op2 (e20) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e22) = (e23))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H288 zenon_H1ce zenon_H28b. % 49.27/49.43 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a9 ]. % 49.27/49.43 cut (((e23) = (e23)) = ((e22) = (e23))). % 49.27/49.43 intro zenon_D_pnotp. % 49.27/49.43 apply zenon_H28b. % 49.27/49.43 rewrite <- zenon_D_pnotp. % 49.27/49.43 exact zenon_H1a8. % 49.27/49.43 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.27/49.43 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 49.27/49.43 congruence. % 49.27/49.43 cut (((op2 (e20) (e21)) = (e22)) = ((e23) = (e22))). % 49.27/49.43 intro zenon_D_pnotp. % 49.27/49.43 apply zenon_H28c. % 49.27/49.43 rewrite <- zenon_D_pnotp. % 49.27/49.43 exact zenon_H288. % 49.27/49.43 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.27/49.43 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 49.27/49.43 congruence. % 49.27/49.43 exact (zenon_H1cf zenon_H1ce). % 49.27/49.43 apply zenon_H1c2. apply refl_equal. % 49.27/49.43 apply zenon_H1a9. apply refl_equal. % 49.27/49.43 apply zenon_H1a9. apply refl_equal. % 49.27/49.43 (* end of lemma zenon_L373_ *) % 49.27/49.43 assert (zenon_L374_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.27/49.43 do 0 intro. intros zenon_H2ce zenon_H288 zenon_H1f5 zenon_H291 zenon_H19e zenon_H14 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H260 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1de zenon_H213 zenon_H218 zenon_H1b4 zenon_H2af zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H20e zenon_H1d2. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.43 apply (zenon_L373_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.43 apply (zenon_L177_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.43 apply (zenon_L231_); trivial. % 49.27/49.43 apply (zenon_L194_); trivial. % 49.27/49.43 (* end of lemma zenon_L374_ *) % 49.27/49.43 assert (zenon_L375_ : (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> False). % 49.27/49.43 do 0 intro. intros zenon_H1d2 zenon_H1ba zenon_H19d zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H1c9 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H228 zenon_H30d zenon_H264 zenon_H308 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H2fc zenon_H2b4 zenon_H285 zenon_H28b zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H218 zenon_H213 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H297 zenon_H1d1 zenon_H1e6 zenon_H291 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H19e zenon_H14 zenon_H19b zenon_H2c0 zenon_H1da zenon_H205 zenon_H260. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.43 apply (zenon_L170_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.27/49.43 apply (zenon_L294_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.27/49.43 apply (zenon_L171_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.27/49.43 apply (zenon_L174_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.43 apply (zenon_L373_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.43 apply (zenon_L177_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.43 apply (zenon_L354_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.43 apply (zenon_L220_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.43 apply (zenon_L209_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.43 apply (zenon_L160_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.43 apply (zenon_L224_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.43 apply (zenon_L219_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ]. % 49.27/49.43 apply (zenon_L236_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ]. % 49.27/49.43 apply (zenon_L232_); trivial. % 49.27/49.43 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ]. % 49.27/49.43 apply (zenon_L374_); trivial. % 49.27/49.43 apply (zenon_L245_); trivial. % 49.27/49.43 apply (zenon_L194_); trivial. % 49.27/49.43 apply (zenon_L232_); trivial. % 49.27/49.43 (* end of lemma zenon_L375_ *) % 49.27/49.43 assert (zenon_L376_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2ce zenon_H28b zenon_H288 zenon_H1f5 zenon_H20c zenon_H2b4 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1d1 zenon_H297 zenon_H260 zenon_H2a5 zenon_H261 zenon_H1e6 zenon_H14 zenon_H19e zenon_H322 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2b9 zenon_H298 zenon_H291 zenon_H214 zenon_H213 zenon_H1d2 zenon_H2cf zenon_H305 zenon_H1a7. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.44 apply (zenon_L373_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.44 apply (zenon_L177_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.44 apply (zenon_L169_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.44 apply (zenon_L220_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.44 apply (zenon_L240_); trivial. % 49.27/49.44 apply (zenon_L363_); trivial. % 49.27/49.44 apply (zenon_L335_); trivial. % 49.27/49.44 (* end of lemma zenon_L376_ *) % 49.27/49.44 assert (zenon_L377_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (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 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H250 zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H295 zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.44 apply (zenon_L376_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.44 apply (zenon_L244_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.44 apply (zenon_L364_); trivial. % 49.27/49.44 apply (zenon_L365_); trivial. % 49.27/49.44 (* end of lemma zenon_L377_ *) % 49.27/49.44 assert (zenon_L378_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (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 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H250 zenon_H2cf zenon_H1d2 zenon_H213 zenon_H214 zenon_H298 zenon_H2b9 zenon_H325 zenon_H210 zenon_H1f0 zenon_H322 zenon_H1f5 zenon_H288 zenon_H2ce zenon_H2bc zenon_H28b zenon_H291 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H260 zenon_H2a5 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.44 apply (zenon_L169_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.44 apply (zenon_L220_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.44 apply (zenon_L240_); trivial. % 49.27/49.44 apply (zenon_L377_); trivial. % 49.27/49.44 (* end of lemma zenon_L378_ *) % 49.27/49.44 assert (zenon_L379_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H2af zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H2b4 zenon_H1f0 zenon_H250 zenon_H291 zenon_H228 zenon_H30d zenon_H264 zenon_H308 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4 zenon_H28d zenon_H260 zenon_H210. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.27/49.44 apply (zenon_L372_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.44 apply (zenon_L156_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.44 apply (zenon_L373_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.44 apply (zenon_L156_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.44 apply (zenon_L158_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.44 apply (zenon_L375_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.44 apply (zenon_L196_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.44 apply (zenon_L214_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.44 apply (zenon_L375_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.44 apply (zenon_L292_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.44 apply (zenon_L373_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.44 apply (zenon_L177_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.44 apply (zenon_L169_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.44 apply (zenon_L319_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.44 apply (zenon_L240_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.44 apply (zenon_L322_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.44 apply (zenon_L378_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.44 apply (zenon_L209_); trivial. % 49.27/49.44 apply (zenon_L364_); trivial. % 49.27/49.44 apply (zenon_L335_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.44 apply (zenon_L159_); trivial. % 49.27/49.44 apply (zenon_L160_); trivial. % 49.27/49.44 apply (zenon_L198_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.27/49.44 apply (zenon_L354_); trivial. % 49.27/49.44 apply (zenon_L260_); trivial. % 49.27/49.44 (* end of lemma zenon_L379_ *) % 49.27/49.44 assert (zenon_L380_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H32b zenon_H1c4 zenon_H210 zenon_H260 zenon_H28d zenon_H1b4 zenon_H19e zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H1a7 zenon_H308 zenon_H264 zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H218 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H19b zenon_H14 zenon_H29c. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.27/49.44 apply (zenon_L165_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.27/49.44 apply (zenon_L170_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.27/49.44 apply (zenon_L379_); trivial. % 49.27/49.44 apply (zenon_L222_); trivial. % 49.27/49.44 (* end of lemma zenon_L380_ *) % 49.27/49.44 assert (zenon_L381_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e20) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H14 zenon_H194 zenon_H32e. % 49.27/49.44 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H32e. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1a1. % 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H32f]. % 49.27/49.44 congruence. % 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e20) (e20)) = (op2 (e22) (e22)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H32f. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H14. % 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.27/49.44 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e20) = (op2 (e20) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H199. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1a1. % 49.27/49.44 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 49.27/49.44 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H330]. % 49.27/49.44 congruence. % 49.27/49.44 exact (zenon_H330 zenon_H194). % 49.27/49.44 apply zenon_H1a2. apply refl_equal. % 49.27/49.44 apply zenon_H1a2. apply refl_equal. % 49.27/49.44 apply zenon_H1bf. apply refl_equal. % 49.27/49.44 apply zenon_H1a2. apply refl_equal. % 49.27/49.44 apply zenon_H1a2. apply refl_equal. % 49.27/49.44 (* end of lemma zenon_L381_ *) % 49.27/49.44 assert (zenon_L382_ : ((op2 (e23) (e20)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H20b zenon_H14 zenon_H194 zenon_H331. % 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H331. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1b5. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H332]. % 49.27/49.44 congruence. % 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H332. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H14. % 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 49.27/49.44 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H333. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1b5. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 49.27/49.44 congruence. % 49.27/49.44 exact (zenon_H334 zenon_H20b). % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply (zenon_L381_); trivial. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 (* end of lemma zenon_L382_ *) % 49.27/49.44 assert (zenon_L383_ : ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H20c zenon_H1ed zenon_H1b4. % 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H1b4. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1b5. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 49.27/49.44 congruence. % 49.27/49.44 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H1b7. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H20c. % 49.27/49.44 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ee]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.44 congruence. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H1ee. apply sym_equal. exact zenon_H1ed. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 (* end of lemma zenon_L383_ *) % 49.27/49.44 assert (zenon_L384_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1f0 zenon_H1da zenon_H25e zenon_H1dd zenon_H225 zenon_H210. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.44 apply (zenon_L383_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.44 apply (zenon_L176_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.44 apply (zenon_L321_); trivial. % 49.27/49.44 apply (zenon_L195_); trivial. % 49.27/49.44 (* end of lemma zenon_L384_ *) % 49.27/49.44 assert (zenon_L385_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H225 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.27/49.44 apply (zenon_L382_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.27/49.44 apply (zenon_L222_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.27/49.44 apply (zenon_L384_); trivial. % 49.27/49.44 apply (zenon_L160_); trivial. % 49.27/49.44 (* end of lemma zenon_L385_ *) % 49.27/49.44 assert (zenon_L386_ : ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H14 zenon_H335 zenon_H336. % 49.27/49.44 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H336. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H24b. % 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H337]. % 49.27/49.44 congruence. % 49.27/49.44 cut (((e20) = (op2 (e22) (e22))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H337. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H14. % 49.27/49.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 49.27/49.44 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H338]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H24b | zenon_intro zenon_H24c ]. % 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H338. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H24b. % 49.27/49.44 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 49.27/49.44 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H339]. % 49.27/49.44 congruence. % 49.27/49.44 exact (zenon_H339 zenon_H335). % 49.27/49.44 apply zenon_H24c. apply refl_equal. % 49.27/49.44 apply zenon_H24c. apply refl_equal. % 49.27/49.44 apply zenon_H1bf. apply refl_equal. % 49.27/49.44 apply zenon_H24c. apply refl_equal. % 49.27/49.44 apply zenon_H24c. apply refl_equal. % 49.27/49.44 (* end of lemma zenon_L386_ *) % 49.27/49.44 assert (zenon_L387_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2ff zenon_H258 zenon_H323. % 49.27/49.44 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H2ff. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H258. % 49.27/49.44 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 49.27/49.44 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 49.27/49.44 congruence. % 49.27/49.44 apply zenon_H2c2. apply refl_equal. % 49.27/49.44 apply zenon_H324. apply sym_equal. exact zenon_H323. % 49.27/49.44 (* end of lemma zenon_L387_ *) % 49.27/49.44 assert (zenon_L388_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274 zenon_H206. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ]. % 49.27/49.44 apply (zenon_L386_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H263 | zenon_intro zenon_H33c ]. % 49.27/49.44 apply (zenon_L200_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H323 | zenon_intro zenon_H275 ]. % 49.27/49.44 apply (zenon_L387_); trivial. % 49.27/49.44 apply (zenon_L206_); trivial. % 49.27/49.44 (* end of lemma zenon_L388_ *) % 49.27/49.44 assert (zenon_L389_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H26d zenon_H229. % 49.27/49.44 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.44 apply (zenon_L185_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.44 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 49.27/49.44 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 49.27/49.44 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 49.27/49.44 cut (((op2 (e23) (op2 (e21) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H308. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H22e. % 49.27/49.44 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 49.27/49.44 cut (((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e21) (e23))) = (op2 (e23) (e20)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H2b5. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1b5. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.44 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 49.27/49.44 congruence. % 49.27/49.44 apply (zenon_L234_); trivial. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H1b6. apply refl_equal. % 49.27/49.44 apply zenon_H230. apply sym_equal. exact zenon_H229. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.44 apply (zenon_L189_); trivial. % 49.27/49.44 apply (zenon_L202_); trivial. % 49.27/49.44 (* end of lemma zenon_L389_ *) % 49.27/49.44 assert (zenon_L390_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2fc zenon_H229 zenon_H26d zenon_H228 zenon_H238 zenon_H1e6 zenon_H308 zenon_H206 zenon_H218 zenon_H1b4 zenon_H2da zenon_H1f0 zenon_H1da zenon_H25e zenon_H1dd zenon_H210 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H323 zenon_H2ff zenon_H19e zenon_H14 zenon_H19b zenon_H2c0. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H261 | zenon_intro zenon_H2fd ]. % 49.27/49.44 apply (zenon_L389_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2fe ]. % 49.27/49.44 apply (zenon_L385_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2bf ]. % 49.27/49.44 apply (zenon_L387_); trivial. % 49.27/49.44 apply (zenon_L245_); trivial. % 49.27/49.44 (* end of lemma zenon_L390_ *) % 49.27/49.44 assert (zenon_L391_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H242 zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.27/49.44 apply (zenon_L382_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.27/49.44 apply (zenon_L222_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.27/49.44 apply (zenon_L338_); trivial. % 49.27/49.44 apply (zenon_L160_); trivial. % 49.27/49.44 (* end of lemma zenon_L391_ *) % 49.27/49.44 assert (zenon_L392_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H325 zenon_H28b zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H238 zenon_H228 zenon_H26d zenon_H229 zenon_H2fc zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.44 apply (zenon_L215_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.44 apply (zenon_L388_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.44 apply (zenon_L390_); trivial. % 49.27/49.44 apply (zenon_L391_); trivial. % 49.27/49.44 (* end of lemma zenon_L392_ *) % 49.27/49.44 assert (zenon_L393_ : ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H206 zenon_H274 zenon_H205 zenon_H253 zenon_H1fc zenon_H2a0 zenon_H1d2 zenon_H213 zenon_H325 zenon_H28b zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H218 zenon_H308 zenon_H1e6 zenon_H228 zenon_H2fc zenon_H2b4 zenon_H1ad zenon_H277 zenon_H271 zenon_H2d8 zenon_H195 zenon_H2fa zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H2b9 zenon_H298 zenon_H297 zenon_H1ba zenon_H19d zenon_H25a zenon_H282 zenon_H31a zenon_H1c9 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2af zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H291 zenon_H1a7 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H1c4 zenon_H32b zenon_H1c8 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.44 apply (zenon_L170_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.44 apply (zenon_L171_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.44 apply (zenon_L265_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.44 apply (zenon_L177_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.44 apply (zenon_L221_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.44 apply (zenon_L178_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.27/49.44 apply (zenon_L380_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.27/49.44 apply (zenon_L385_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.27/49.44 apply (zenon_L200_); trivial. % 49.27/49.44 apply (zenon_L392_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.44 apply (zenon_L159_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.44 apply (zenon_L221_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.44 apply (zenon_L178_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.44 apply (zenon_L222_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.44 apply (zenon_L194_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.44 apply (zenon_L218_); trivial. % 49.27/49.44 apply (zenon_L392_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_L206_); trivial. % 49.27/49.44 apply (zenon_L385_); trivial. % 49.27/49.44 (* end of lemma zenon_L393_ *) % 49.27/49.44 assert (zenon_L394_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H253 zenon_H297 zenon_H213 zenon_H1de zenon_H291 zenon_H298 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.44 apply (zenon_L220_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.44 apply (zenon_L178_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_L204_); trivial. % 49.27/49.44 (* end of lemma zenon_L394_ *) % 49.27/49.44 assert (zenon_L395_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2d9 zenon_H1f0 zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H25a zenon_H218 zenon_H264 zenon_H1d2 zenon_H271 zenon_H1fc zenon_H298 zenon_H291 zenon_H213 zenon_H297 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206 zenon_H1da zenon_H19d zenon_H1ec zenon_H2da zenon_H261 zenon_H1c9. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.44 apply (zenon_L170_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.44 apply (zenon_L171_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.44 apply (zenon_L175_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.44 apply (zenon_L176_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.44 apply (zenon_L159_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.44 apply (zenon_L394_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_L206_); trivial. % 49.27/49.44 apply (zenon_L336_); trivial. % 49.27/49.44 apply (zenon_L199_); trivial. % 49.27/49.44 (* end of lemma zenon_L395_ *) % 49.27/49.44 assert (zenon_L396_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228 zenon_H229. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.44 apply (zenon_L222_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.44 apply (zenon_L312_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.44 apply (zenon_L218_); trivial. % 49.27/49.44 apply (zenon_L389_); trivial. % 49.27/49.44 (* end of lemma zenon_L396_ *) % 49.27/49.44 assert (zenon_L397_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H205 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H305 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.44 apply (zenon_L221_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.44 apply (zenon_L178_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.44 apply (zenon_L180_); trivial. % 49.27/49.44 apply (zenon_L396_); trivial. % 49.27/49.44 (* end of lemma zenon_L397_ *) % 49.27/49.44 assert (zenon_L398_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H2b9 zenon_H253 zenon_H28b zenon_H205 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H228 zenon_H210 zenon_H2cf zenon_H305 zenon_H1a7. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.44 apply (zenon_L265_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.44 apply (zenon_L177_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.44 apply (zenon_L197_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.44 apply (zenon_L397_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.44 apply (zenon_L240_); trivial. % 49.27/49.44 apply (zenon_L322_); trivial. % 49.27/49.44 apply (zenon_L335_); trivial. % 49.27/49.44 (* end of lemma zenon_L398_ *) % 49.27/49.44 assert (zenon_L399_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H277 zenon_H264 zenon_H271 zenon_H298 zenon_H291 zenon_H297 zenon_H274 zenon_H19d zenon_H1ec zenon_H2da zenon_H30a zenon_H325 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H2fc zenon_H2b4 zenon_H2d8 zenon_H195 zenon_H2fa zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H322 zenon_H1ba zenon_H31a zenon_H2e6 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2af zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H2db zenon_H28d zenon_H1c4 zenon_H32b zenon_H31f zenon_H331 zenon_H194 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.44 apply (zenon_L156_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.44 apply (zenon_L265_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.44 apply (zenon_L221_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.44 apply (zenon_L156_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.44 apply (zenon_L158_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.44 apply (zenon_L393_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.44 apply (zenon_L196_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.44 apply (zenon_L166_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.44 apply (zenon_L395_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.44 apply (zenon_L292_); trivial. % 49.27/49.44 apply (zenon_L398_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.44 apply (zenon_L159_); trivial. % 49.27/49.44 apply (zenon_L160_); trivial. % 49.27/49.44 (* end of lemma zenon_L399_ *) % 49.27/49.44 assert (zenon_L400_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H274 zenon_H28a zenon_H323. % 49.27/49.44 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H274. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H28a. % 49.27/49.44 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 49.27/49.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.27/49.44 congruence. % 49.27/49.44 apply zenon_H209. apply refl_equal. % 49.27/49.44 apply zenon_H324. apply sym_equal. exact zenon_H323. % 49.27/49.44 (* end of lemma zenon_L400_ *) % 49.27/49.44 assert (zenon_L401_ : (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.27/49.44 do 0 intro. intros zenon_H33d zenon_H1a6 zenon_H19b zenon_H14 zenon_H275. % 49.27/49.44 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H33d. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H1a6. % 49.27/49.44 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H276]. % 49.27/49.44 cut (((op2 (e21) (e20)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [ zenon_intro zenon_H33f | zenon_intro zenon_H340 ]. % 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e21) (e20)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H33e. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H33f. % 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 49.27/49.44 congruence. % 49.27/49.44 apply (zenon_L155_); trivial. % 49.27/49.44 apply zenon_H340. apply refl_equal. % 49.27/49.44 apply zenon_H340. apply refl_equal. % 49.27/49.44 apply zenon_H276. apply sym_equal. exact zenon_H275. % 49.27/49.44 (* end of lemma zenon_L401_ *) % 49.27/49.44 assert (zenon_L402_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.44 do 0 intro. intros zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H2a6 zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H335 | zenon_intro zenon_H33b ]. % 49.27/49.44 apply (zenon_L386_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H263 | zenon_intro zenon_H33c ]. % 49.27/49.44 apply (zenon_L200_); trivial. % 49.27/49.44 apply (zenon_or_s _ _ zenon_H33c); [ zenon_intro zenon_H323 | zenon_intro zenon_H275 ]. % 49.27/49.44 apply (zenon_L400_); trivial. % 49.27/49.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H241. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H21f. % 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 49.27/49.44 congruence. % 49.27/49.44 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H341. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H19e. % 49.27/49.44 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H33d]. % 49.27/49.44 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 49.27/49.44 congruence. % 49.27/49.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H21f | zenon_intro zenon_H220 ]. % 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e23) = (op2 (e23) (e23)))). % 49.27/49.44 intro zenon_D_pnotp. % 49.27/49.44 apply zenon_H2a7. % 49.27/49.44 rewrite <- zenon_D_pnotp. % 49.27/49.44 exact zenon_H21f. % 49.27/49.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 49.27/49.44 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 49.27/49.44 congruence. % 49.27/49.44 exact (zenon_H2d6 zenon_H2a6). % 49.27/49.44 apply zenon_H220. apply refl_equal. % 49.27/49.44 apply zenon_H220. apply refl_equal. % 49.27/49.44 apply (zenon_L401_); trivial. % 49.27/49.44 apply zenon_H220. apply refl_equal. % 49.27/49.44 apply zenon_H220. apply refl_equal. % 49.27/49.44 (* end of lemma zenon_L402_ *) % 49.27/49.44 assert (zenon_L403_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.45 apply (zenon_L185_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.45 apply (zenon_L235_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.45 apply (zenon_L189_); trivial. % 49.27/49.45 apply (zenon_L228_); trivial. % 49.27/49.45 (* end of lemma zenon_L403_ *) % 49.27/49.45 assert (zenon_L404_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L219_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L272_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L236_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 apply (zenon_L403_); trivial. % 49.27/49.45 (* end of lemma zenon_L404_ *) % 49.27/49.45 assert (zenon_L405_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H285 zenon_H28b zenon_H213 zenon_H1de zenon_H298 zenon_H1dd zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.45 apply (zenon_L221_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.45 apply (zenon_L220_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.45 apply (zenon_L209_); trivial. % 49.27/49.45 apply (zenon_L404_); trivial. % 49.27/49.45 (* end of lemma zenon_L405_ *) % 49.27/49.45 assert (zenon_L406_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H2f1 zenon_H314. % 49.27/49.45 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H218. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H2f1. % 49.27/49.45 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H315]. % 49.27/49.45 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.27/49.45 congruence. % 49.27/49.45 apply zenon_H209. apply refl_equal. % 49.27/49.45 apply zenon_H315. apply sym_equal. exact zenon_H314. % 49.27/49.45 (* end of lemma zenon_L406_ *) % 49.27/49.45 assert (zenon_L407_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H297 zenon_H1d1 zenon_H28a zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H2fa zenon_H314 zenon_H256. % 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 49.27/49.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H297. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H27e. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2a9]. % 49.27/49.45 congruence. % 49.27/49.45 cut (((op2 (e23) (op2 (e20) (e23))) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H2a9. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H21d. % 49.27/49.45 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 49.27/49.45 cut (((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H345]. % 49.27/49.45 congruence. % 49.27/49.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H27e | zenon_intro zenon_H27f ]. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e20) (e23))) = (op2 (e23) (e22)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H345. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H27e. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 49.27/49.45 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H346]. % 49.27/49.45 congruence. % 49.27/49.45 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H347]. % 49.27/49.45 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 49.27/49.45 congruence. % 49.27/49.45 apply zenon_H1a9. apply refl_equal. % 49.27/49.45 apply zenon_H347. apply sym_equal. exact zenon_H28a. % 49.27/49.45 apply zenon_H27f. apply refl_equal. % 49.27/49.45 apply zenon_H27f. apply refl_equal. % 49.27/49.45 apply zenon_H27d. apply sym_equal. exact zenon_H1d1. % 49.27/49.45 apply zenon_H27f. apply refl_equal. % 49.27/49.45 apply zenon_H27f. apply refl_equal. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.45 apply (zenon_L308_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.45 apply (zenon_L246_); trivial. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H244. zenon_intro zenon_H243. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H246. zenon_intro zenon_H245. % 49.27/49.45 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H248. zenon_intro zenon_H247. % 49.27/49.45 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H2fa. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H247. % 49.27/49.45 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 49.27/49.45 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 49.27/49.45 congruence. % 49.27/49.45 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H316. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H1b5. % 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 49.27/49.45 congruence. % 49.27/49.45 apply (zenon_L313_); trivial. % 49.27/49.45 apply zenon_H1b6. apply refl_equal. % 49.27/49.45 apply zenon_H1b6. apply refl_equal. % 49.27/49.45 apply zenon_H2fb. apply sym_equal. exact zenon_H256. % 49.27/49.45 (* end of lemma zenon_L407_ *) % 49.27/49.45 assert (zenon_L408_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H26d zenon_H218 zenon_H256 zenon_H314 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L406_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L223_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L407_); trivial. % 49.27/49.45 apply (zenon_L206_); trivial. % 49.27/49.45 (* end of lemma zenon_L408_ *) % 49.27/49.45 assert (zenon_L409_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L287_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L229_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 apply (zenon_L388_); trivial. % 49.27/49.45 (* end of lemma zenon_L409_ *) % 49.27/49.45 assert (zenon_L410_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H314 zenon_H256 zenon_H218 zenon_H26d zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.45 apply (zenon_L388_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.45 apply (zenon_L245_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L408_); trivial. % 49.27/49.45 apply (zenon_L409_); trivial. % 49.27/49.45 (* end of lemma zenon_L410_ *) % 49.27/49.45 assert (zenon_L411_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H26d zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.45 apply (zenon_L410_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L219_); trivial. % 49.27/49.45 apply (zenon_L409_); trivial. % 49.27/49.45 (* end of lemma zenon_L411_ *) % 49.27/49.45 assert (zenon_L412_ : (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H210 zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H317 zenon_H205 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.45 apply (zenon_L222_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.27/49.45 apply (zenon_L334_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.27/49.45 apply (zenon_L195_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.27/49.45 apply (zenon_L200_); trivial. % 49.27/49.45 apply (zenon_L411_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.45 apply (zenon_L218_); trivial. % 49.27/49.45 apply (zenon_L411_); trivial. % 49.27/49.45 (* end of lemma zenon_L412_ *) % 49.27/49.45 assert (zenon_L413_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H31f zenon_H32b zenon_H1c4 zenon_H28d zenon_H2db zenon_H31c zenon_H1ba zenon_H322 zenon_H2bc zenon_H2ed zenon_H328 zenon_H195 zenon_H2d8 zenon_H2fc zenon_H325 zenon_H30a zenon_H2d9 zenon_H301 zenon_H1c8 zenon_H2b9 zenon_H331 zenon_H1a7 zenon_H194 zenon_H2f2 zenon_H348 zenon_H210 zenon_H2da zenon_H1ec zenon_H19d zenon_H2ce zenon_H317 zenon_H205 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H1fc zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H298 zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H218 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H291 zenon_H238 zenon_H1e6 zenon_H1d1 zenon_H297 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H19e zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H258 zenon_H2ff zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.45 apply (zenon_L399_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.45 apply (zenon_L220_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.45 apply (zenon_L209_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.27/49.45 apply (zenon_L264_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.27/49.45 apply (zenon_L405_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L386_); trivial. % 49.27/49.45 apply (zenon_L412_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_L412_); trivial. % 49.27/49.45 (* end of lemma zenon_L413_ *) % 49.27/49.45 assert (zenon_L414_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H314 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.45 apply (zenon_L222_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.45 apply (zenon_L194_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.45 apply (zenon_L218_); trivial. % 49.27/49.45 apply (zenon_L408_); trivial. % 49.27/49.45 (* end of lemma zenon_L414_ *) % 49.27/49.45 assert (zenon_L415_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2ff zenon_H258 zenon_H336 zenon_H33a zenon_H2c0 zenon_H274 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H2fa zenon_H256 zenon_H218 zenon_H342 zenon_H213 zenon_H1de zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.45 apply (zenon_L388_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.45 apply (zenon_L245_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L414_); trivial. % 49.27/49.45 apply (zenon_L256_); trivial. % 49.27/49.45 (* end of lemma zenon_L415_ *) % 49.27/49.45 assert (zenon_L416_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274 zenon_H275. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_L414_); trivial. % 49.27/49.45 (* end of lemma zenon_L416_ *) % 49.27/49.45 assert (zenon_L417_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H277 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H1e6 zenon_H215 zenon_H2b4 zenon_H2d4 zenon_H2c0 zenon_H33a zenon_H336 zenon_H258 zenon_H2ff zenon_H2cb zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1d2 zenon_H1de zenon_H213 zenon_H342 zenon_H218 zenon_H256 zenon_H2fa zenon_H19e zenon_H14 zenon_H264 zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H274. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.45 apply (zenon_L159_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.45 apply (zenon_L222_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.45 apply (zenon_L194_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.45 apply (zenon_L218_); trivial. % 49.27/49.45 apply (zenon_L410_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.45 apply (zenon_L415_); trivial. % 49.27/49.45 apply (zenon_L416_); trivial. % 49.27/49.45 (* end of lemma zenon_L417_ *) % 49.27/49.45 assert (zenon_L418_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L219_); trivial. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 (* end of lemma zenon_L418_ *) % 49.27/49.45 assert (zenon_L419_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H2a6 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.45 apply (zenon_L185_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.45 apply (zenon_L235_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.45 apply (zenon_L189_); trivial. % 49.27/49.45 apply (zenon_L340_); trivial. % 49.27/49.45 (* end of lemma zenon_L419_ *) % 49.27/49.45 assert (zenon_L420_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H305 zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H1a7 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H1b4 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.45 apply (zenon_L335_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L219_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L306_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L361_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 apply (zenon_L419_); trivial. % 49.27/49.45 (* end of lemma zenon_L420_ *) % 49.27/49.45 assert (zenon_L421_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H325 zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H28b zenon_H2da zenon_H2fc zenon_H205 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H2af zenon_H297 zenon_H291 zenon_H2d8 zenon_H1a7 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H1ad zenon_H277 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H1c9 zenon_H342 zenon_H1d1 zenon_H305 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.45 apply (zenon_L418_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.45 apply (zenon_L336_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.45 apply (zenon_L420_); trivial. % 49.27/49.45 apply (zenon_L391_); trivial. % 49.27/49.45 (* end of lemma zenon_L421_ *) % 49.27/49.45 assert (zenon_L422_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2cb zenon_H28b zenon_H2c0 zenon_H256 zenon_H314 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.45 apply (zenon_L215_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.45 apply (zenon_L245_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L407_); trivial. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 (* end of lemma zenon_L422_ *) % 49.27/49.45 assert (zenon_L423_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H314 zenon_H2c0 zenon_H28b zenon_H2cb zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.45 apply (zenon_L422_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L219_); trivial. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 (* end of lemma zenon_L423_ *) % 49.27/49.45 assert (zenon_L424_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2d9 zenon_H19b zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H14 zenon_H213 zenon_H297 zenon_H1d1 zenon_H1da zenon_H20c zenon_H1b4 zenon_H2da zenon_H261 zenon_H1c9. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.45 apply (zenon_L170_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.45 apply (zenon_L171_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.45 apply (zenon_L383_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.45 apply (zenon_L176_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.45 apply (zenon_L220_); trivial. % 49.27/49.45 apply (zenon_L336_); trivial. % 49.27/49.45 apply (zenon_L199_); trivial. % 49.27/49.45 (* end of lemma zenon_L424_ *) % 49.27/49.45 assert (zenon_L425_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H261 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.45 apply (zenon_L166_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.45 apply (zenon_L424_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.45 apply (zenon_L292_); trivial. % 49.27/49.45 apply (zenon_L418_); trivial. % 49.27/49.45 (* end of lemma zenon_L425_ *) % 49.27/49.45 assert (zenon_L426_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2db zenon_H2cb zenon_H28b zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H25a zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.45 apply (zenon_L158_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L181_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_L418_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_L423_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.45 apply (zenon_L196_); trivial. % 49.27/49.45 apply (zenon_L425_); trivial. % 49.27/49.45 (* end of lemma zenon_L426_ *) % 49.27/49.45 assert (zenon_L427_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.45 apply (zenon_L156_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.45 apply (zenon_L426_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.45 apply (zenon_L159_); trivial. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 (* end of lemma zenon_L427_ *) % 49.27/49.45 assert (zenon_L428_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H28d zenon_H1d2 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H25a zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H20c zenon_H213 zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H19d zenon_H1ba zenon_H28a zenon_H28b. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.45 apply (zenon_L156_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.45 apply (zenon_L265_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L427_); trivial. % 49.27/49.45 apply (zenon_L215_); trivial. % 49.27/49.45 (* end of lemma zenon_L428_ *) % 49.27/49.45 assert (zenon_L429_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.45 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.45 apply (zenon_L185_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.45 apply (zenon_L201_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.45 apply (zenon_L189_); trivial. % 49.27/49.45 apply (zenon_L340_); trivial. % 49.27/49.45 (* end of lemma zenon_L429_ *) % 49.27/49.45 assert (zenon_L430_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H325 zenon_H28b zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H1ad zenon_H1d2 zenon_H28d zenon_H210 zenon_H225 zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.45 apply (zenon_L428_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.45 apply (zenon_L195_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.45 apply (zenon_L429_); trivial. % 49.27/49.45 apply (zenon_L391_); trivial. % 49.27/49.45 (* end of lemma zenon_L430_ *) % 49.27/49.45 assert (zenon_L431_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H314 zenon_H205 zenon_H1ec zenon_H19d zenon_H2ce zenon_H210 zenon_H250 zenon_H228 zenon_H1da zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H1e6 zenon_H2a5 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1dd zenon_H285 zenon_H1d2 zenon_H241 zenon_H14 zenon_H19b zenon_H1a6 zenon_H19e zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H2db zenon_H274 zenon_H275. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L406_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L359_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L426_); trivial. % 49.27/49.45 apply (zenon_L206_); trivial. % 49.27/49.45 (* end of lemma zenon_L431_ *) % 49.27/49.45 assert (zenon_L432_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H213 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H194 zenon_H195 zenon_H1ad zenon_H1b4 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H241 zenon_H19b zenon_H1a6 zenon_H2a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.27/49.45 apply (zenon_L264_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.27/49.45 apply (zenon_L372_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.27/49.45 apply (zenon_L402_); trivial. % 49.27/49.45 apply (zenon_L429_); trivial. % 49.27/49.45 (* end of lemma zenon_L432_ *) % 49.27/49.45 assert (zenon_L433_ : ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H295 zenon_H322 zenon_H238 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2ed zenon_H328 zenon_H2fa zenon_H1ad zenon_H195 zenon_H2da zenon_H1ec zenon_H285 zenon_H1ba zenon_H19d zenon_H1fc zenon_H282 zenon_H301 zenon_H2e6 zenon_H307 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H31c zenon_H228 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2cf zenon_H213 zenon_H298 zenon_H2b9 zenon_H250 zenon_H1f0 zenon_H210 zenon_H325 zenon_H2bc zenon_H28b zenon_H1f5 zenon_H1c9 zenon_H2a0 zenon_H31a zenon_H2ce zenon_H1dd zenon_H277 zenon_H2d4 zenon_H2af zenon_H1a7 zenon_H297 zenon_H2a5 zenon_H291 zenon_H1d2 zenon_H2f2 zenon_H342 zenon_H314 zenon_H1da zenon_H1d1 zenon_H20c zenon_H1c8 zenon_H225 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.45 apply (zenon_L426_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.45 apply (zenon_L195_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.45 apply (zenon_L430_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.45 apply (zenon_L245_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.45 apply (zenon_L431_); trivial. % 49.27/49.45 apply (zenon_L432_); trivial. % 49.27/49.45 apply (zenon_L391_); trivial. % 49.27/49.45 (* end of lemma zenon_L433_ *) % 49.27/49.45 assert (zenon_L434_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2fa zenon_H20c zenon_H20f. % 49.27/49.45 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 49.27/49.45 intro zenon_D_pnotp. % 49.27/49.45 apply zenon_H2fa. % 49.27/49.45 rewrite <- zenon_D_pnotp. % 49.27/49.45 exact zenon_H20c. % 49.27/49.45 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2bd]. % 49.27/49.45 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 49.27/49.45 congruence. % 49.27/49.45 apply zenon_H1b6. apply refl_equal. % 49.27/49.45 apply zenon_H2bd. apply sym_equal. exact zenon_H20f. % 49.27/49.45 (* end of lemma zenon_L434_ *) % 49.27/49.45 assert (zenon_L435_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H20f zenon_H2fa zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.27/49.45 apply (zenon_L222_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.27/49.45 apply (zenon_L434_); trivial. % 49.27/49.45 apply (zenon_L160_); trivial. % 49.27/49.45 (* end of lemma zenon_L435_ *) % 49.27/49.45 assert (zenon_L436_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H314 zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.45 apply (zenon_L433_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.45 apply (zenon_L435_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.45 apply (zenon_L183_); trivial. % 49.27/49.45 apply (zenon_L391_); trivial. % 49.27/49.45 (* end of lemma zenon_L436_ *) % 49.27/49.45 assert (zenon_L437_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2fc zenon_H2d8 zenon_H2f4 zenon_H1e1 zenon_H348 zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.45 apply (zenon_L382_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.27/49.45 apply (zenon_L264_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.27/49.45 apply (zenon_L421_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L386_); trivial. % 49.27/49.45 apply (zenon_L436_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.45 apply (zenon_L217_); trivial. % 49.27/49.45 apply (zenon_L436_); trivial. % 49.27/49.45 (* end of lemma zenon_L437_ *) % 49.27/49.45 assert (zenon_L438_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.45 do 0 intro. intros zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2fc zenon_H2d8 zenon_H2f4 zenon_H1e1 zenon_H348 zenon_H225 zenon_H1c8 zenon_H1d1 zenon_H1da zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.45 apply (zenon_L169_); trivial. % 49.27/49.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.46 apply (zenon_L220_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.46 apply (zenon_L240_); trivial. % 49.27/49.46 apply (zenon_L437_); trivial. % 49.27/49.46 (* end of lemma zenon_L438_ *) % 49.27/49.46 assert (zenon_L439_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H274 zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H33a zenon_H336 zenon_H1a6 zenon_H19b zenon_H1d2 zenon_H285 zenon_H1dd zenon_H218 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H1e6 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H308 zenon_H1da zenon_H228 zenon_H250 zenon_H210 zenon_H2ce zenon_H19d zenon_H1ec zenon_H205 zenon_H314 zenon_H342 zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.46 apply (zenon_L431_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.46 apply (zenon_L241_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.46 apply (zenon_L183_); trivial. % 49.27/49.46 apply (zenon_L248_); trivial. % 49.27/49.46 (* end of lemma zenon_L439_ *) % 49.27/49.46 assert (zenon_L440_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H274 zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H1ad zenon_H2d9 zenon_H301 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H33a zenon_H336 zenon_H1a6 zenon_H19b zenon_H1d2 zenon_H285 zenon_H1dd zenon_H218 zenon_H29c zenon_H2a0 zenon_H2a5 zenon_H1e6 zenon_H1f5 zenon_H2cf zenon_H31a zenon_H282 zenon_H1fc zenon_H2ff zenon_H253 zenon_H307 zenon_H2e6 zenon_H277 zenon_H2d4 zenon_H308 zenon_H1da zenon_H228 zenon_H250 zenon_H210 zenon_H2ce zenon_H19d zenon_H1ec zenon_H205 zenon_H342 zenon_H28b zenon_H256 zenon_H213 zenon_H241 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H1d1 zenon_H297. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.46 apply (zenon_L249_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.46 apply (zenon_L335_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.46 apply (zenon_L217_); trivial. % 49.27/49.46 apply (zenon_L439_); trivial. % 49.27/49.46 (* end of lemma zenon_L440_ *) % 49.27/49.46 assert (zenon_L441_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H2d9 zenon_H19b zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H14 zenon_H213 zenon_H297 zenon_H1d1 zenon_H1da zenon_H19d zenon_H1ec zenon_H2da zenon_H261 zenon_H1c9. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.46 apply (zenon_L170_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.46 apply (zenon_L171_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.46 apply (zenon_L360_); trivial. % 49.27/49.46 apply (zenon_L199_); trivial. % 49.27/49.46 (* end of lemma zenon_L441_ *) % 49.27/49.46 assert (zenon_L442_ : ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H305 zenon_H1a7. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.46 apply (zenon_L265_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.46 apply (zenon_L177_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.46 apply (zenon_L169_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.46 apply (zenon_L405_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.46 apply (zenon_L240_); trivial. % 49.27/49.46 apply (zenon_L421_); trivial. % 49.27/49.46 apply (zenon_L335_); trivial. % 49.27/49.46 (* end of lemma zenon_L442_ *) % 49.27/49.46 assert (zenon_L443_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H195 zenon_H1ec zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H1d1 zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H1a7. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.46 apply (zenon_L154_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.46 apply (zenon_L441_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.46 apply (zenon_L292_); trivial. % 49.27/49.46 apply (zenon_L442_); trivial. % 49.27/49.46 (* end of lemma zenon_L443_ *) % 49.27/49.46 assert (zenon_L444_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.46 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H14 zenon_H1ce zenon_H307 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.46 apply (zenon_L159_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.46 apply (zenon_L296_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.46 apply (zenon_L180_); trivial. % 49.27/49.46 apply (zenon_L206_); trivial. % 49.27/49.46 (* end of lemma zenon_L444_ *) % 49.27/49.46 assert (zenon_L445_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H250 zenon_H1ed zenon_H2fa zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.46 apply (zenon_L383_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.46 apply (zenon_L435_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.46 apply (zenon_L212_); trivial. % 49.27/49.46 apply (zenon_L391_); trivial. % 49.27/49.46 (* end of lemma zenon_L445_ *) % 49.27/49.46 assert (zenon_L446_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.27/49.46 do 0 intro. intros zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H308 zenon_H314 zenon_H229. % 49.27/49.46 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.27/49.46 apply (zenon_L185_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.27/49.46 apply (zenon_L201_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.27/49.46 apply (zenon_L189_); trivial. % 49.27/49.46 apply (zenon_L314_); trivial. % 49.27/49.46 (* end of lemma zenon_L446_ *) % 49.27/49.46 assert (zenon_L447_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H2ce zenon_H274 zenon_H307 zenon_H1ad zenon_H277 zenon_H1f5 zenon_H308 zenon_H19e zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H291 zenon_H1c9 zenon_H253 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H225 zenon_H228 zenon_H241 zenon_H317 zenon_H20e zenon_H1d2. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.46 apply (zenon_L444_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.46 apply (zenon_L177_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.46 apply (zenon_L169_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.46 apply (zenon_L178_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.46 apply (zenon_L180_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.46 apply (zenon_L193_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.46 apply (zenon_L312_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.46 apply (zenon_L217_); trivial. % 49.27/49.46 apply (zenon_L446_); trivial. % 49.27/49.46 apply (zenon_L194_); trivial. % 49.27/49.46 (* end of lemma zenon_L447_ *) % 49.27/49.46 assert (zenon_L448_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H2db zenon_H1a7 zenon_H1a6 zenon_H2ce zenon_H307 zenon_H1f5 zenon_H308 zenon_H291 zenon_H250 zenon_H1f0 zenon_H241 zenon_H317 zenon_H2fa zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H2da zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.46 apply (zenon_L158_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.46 apply (zenon_L170_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.46 apply (zenon_L171_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.46 apply (zenon_L172_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.27/49.46 apply (zenon_L173_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.27/49.46 apply (zenon_L171_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.27/49.46 apply (zenon_L174_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.46 apply (zenon_L445_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.46 apply (zenon_L176_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.46 apply (zenon_L447_); trivial. % 49.27/49.46 apply (zenon_L195_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.46 apply (zenon_L196_); trivial. % 49.27/49.46 apply (zenon_L213_); trivial. % 49.27/49.46 (* end of lemma zenon_L448_ *) % 49.27/49.46 assert (zenon_L449_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.27/49.46 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H26d zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.46 apply (zenon_L160_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.46 apply (zenon_L335_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.46 apply (zenon_L389_); trivial. % 49.27/49.46 apply (zenon_L403_); trivial. % 49.27/49.46 (* end of lemma zenon_L449_ *) % 49.27/49.46 assert (zenon_L450_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H285 zenon_H28b zenon_H25a zenon_H264 zenon_H1d2 zenon_H271 zenon_H298 zenon_H297 zenon_H205 zenon_H1fc zenon_H1dd zenon_H253 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H1de zenon_H213 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.46 apply (zenon_L397_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.46 apply (zenon_L394_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.46 apply (zenon_L211_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.46 apply (zenon_L222_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.46 apply (zenon_L312_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.46 apply (zenon_L218_); trivial. % 49.27/49.46 apply (zenon_L449_); trivial. % 49.27/49.46 (* end of lemma zenon_L450_ *) % 49.27/49.46 assert (zenon_L451_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 49.27/49.46 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H26d zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H322 zenon_H295 zenon_H323. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.27/49.46 apply (zenon_L160_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.27/49.46 apply (zenon_L335_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.27/49.46 apply (zenon_L389_); trivial. % 49.27/49.46 apply (zenon_L419_); trivial. % 49.27/49.46 (* end of lemma zenon_L451_ *) % 49.27/49.46 assert (zenon_L452_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False). % 49.27/49.46 do 0 intro. intros zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291 zenon_H215. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.27/49.46 apply (zenon_L379_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.27/49.46 apply (zenon_L199_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.27/49.46 apply (zenon_L200_); trivial. % 49.27/49.46 apply (zenon_L449_); trivial. % 49.27/49.46 (* end of lemma zenon_L452_ *) % 49.27/49.46 assert (zenon_L453_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.27/49.46 do 0 intro. intros zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H19d zenon_H1ba zenon_H28b zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H2af zenon_H1a7 zenon_H308 zenon_H291 zenon_H331 zenon_H1c8 zenon_H274 zenon_H336 zenon_H33a zenon_H295 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.27/49.46 apply (zenon_L368_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.27/49.46 apply (zenon_L199_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.27/49.46 apply (zenon_L200_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.46 apply (zenon_L427_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.46 apply (zenon_L388_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.46 apply (zenon_L451_); trivial. % 49.27/49.46 apply (zenon_L391_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.46 apply (zenon_L435_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.46 apply (zenon_L452_); trivial. % 49.27/49.46 apply (zenon_L339_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.46 apply (zenon_L178_); trivial. % 49.27/49.46 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.46 apply (zenon_L180_); trivial. % 49.27/49.46 apply (zenon_L204_); trivial. % 49.27/49.46 (* end of lemma zenon_L453_ *) % 49.27/49.46 assert (zenon_L454_ : ((op2 (e23) (e22)) = (e21)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H295 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.47 apply (zenon_L322_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.47 apply (zenon_L453_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.47 apply (zenon_L211_); trivial. % 49.27/49.47 apply (zenon_L452_); trivial. % 49.27/49.47 (* end of lemma zenon_L454_ *) % 49.27/49.47 assert (zenon_L455_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H1e1 zenon_H1a6 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.47 apply (zenon_L448_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.47 apply (zenon_L450_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.47 apply (zenon_L240_); trivial. % 49.27/49.47 apply (zenon_L454_); trivial. % 49.27/49.47 (* end of lemma zenon_L455_ *) % 49.27/49.47 assert (zenon_L456_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H336 zenon_H1e1 zenon_H1a6 zenon_H33a zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H228 zenon_H2b4 zenon_H348 zenon_H291 zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H308 zenon_H229. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.47 apply (zenon_L382_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.27/49.47 apply (zenon_L273_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.27/49.47 apply (zenon_L455_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.27/49.47 apply (zenon_L386_); trivial. % 49.27/49.47 apply (zenon_L446_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.47 apply (zenon_L217_); trivial. % 49.27/49.47 apply (zenon_L446_); trivial. % 49.27/49.47 (* end of lemma zenon_L456_ *) % 49.27/49.47 assert (zenon_L457_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H213 zenon_H1de zenon_H256 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H1fc zenon_H298 zenon_H291 zenon_H297 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L220_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.47 apply (zenon_L222_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.47 apply (zenon_L194_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.47 apply (zenon_L218_); trivial. % 49.27/49.47 apply (zenon_L203_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L206_); trivial. % 49.27/49.47 (* end of lemma zenon_L457_ *) % 49.27/49.47 assert (zenon_L458_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H250 zenon_H1b4 zenon_H19b zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H25a zenon_H322 zenon_H295 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H19d zenon_H1ba zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.47 apply (zenon_L430_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.47 apply (zenon_L241_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.47 apply (zenon_L183_); trivial. % 49.27/49.47 apply (zenon_L191_); trivial. % 49.27/49.47 (* end of lemma zenon_L458_ *) % 49.27/49.47 assert (zenon_L459_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H228 zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H218 zenon_H250 zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H322 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H19d zenon_H1ba zenon_H325 zenon_H28b zenon_H256 zenon_H213 zenon_H225 zenon_H241 zenon_H2a0 zenon_H1fc zenon_H1de zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L220_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.47 apply (zenon_L222_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.47 apply (zenon_L194_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.47 apply (zenon_L458_); trivial. % 49.27/49.47 apply (zenon_L203_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L206_); trivial. % 49.27/49.47 (* end of lemma zenon_L459_ *) % 49.27/49.47 assert (zenon_L460_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H14 zenon_H2b9 zenon_H2b7 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_L240_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L206_); trivial. % 49.27/49.47 (* end of lemma zenon_L460_ *) % 49.27/49.47 assert (zenon_L461_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H317 zenon_H1f0 zenon_H20c zenon_H1a7 zenon_H291 zenon_H2cb zenon_H28b zenon_H2c0 zenon_H256 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.47 apply (zenon_L181_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.47 apply (zenon_L335_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.47 apply (zenon_L217_); trivial. % 49.27/49.47 apply (zenon_L422_); trivial. % 49.27/49.47 (* end of lemma zenon_L461_ *) % 49.27/49.47 assert (zenon_L462_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H250 zenon_H218 zenon_H206 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.27/49.47 apply (zenon_L461_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.27/49.47 apply (zenon_L195_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.27/49.47 apply (zenon_L429_); trivial. % 49.27/49.47 apply (zenon_L338_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.47 apply (zenon_L241_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.47 apply (zenon_L183_); trivial. % 49.27/49.47 apply (zenon_L391_); trivial. % 49.27/49.47 (* end of lemma zenon_L462_ *) % 49.27/49.47 assert (zenon_L463_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H241 zenon_H14 zenon_H1e6 zenon_H228 zenon_H225 zenon_H218 zenon_H213 zenon_H214 zenon_H256 zenon_H28b zenon_H325 zenon_H1ba zenon_H19d zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H1ad zenon_H1d2 zenon_H28d zenon_H210 zenon_H295 zenon_H322 zenon_H25a zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H250 zenon_H1fc zenon_H1da zenon_H1a6 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L462_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L458_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L206_); trivial. % 49.27/49.47 (* end of lemma zenon_L463_ *) % 49.27/49.47 assert (zenon_L464_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H32b zenon_H1a7 zenon_H1e1 zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H228 zenon_H308 zenon_H218 zenon_H2b4 zenon_H1e6 zenon_H291 zenon_H1ec zenon_H2f2 zenon_H342 zenon_H2f4 zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H2e4 zenon_H348 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.47 apply (zenon_L170_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.47 apply (zenon_L171_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L175_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_L220_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_L413_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.27/49.47 apply (zenon_L220_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.27/49.47 apply (zenon_L209_); trivial. % 49.27/49.47 apply (zenon_L417_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L175_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_L438_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_L438_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.47 apply (zenon_L382_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.47 apply (zenon_L367_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.47 apply (zenon_L217_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.27/49.47 apply (zenon_L245_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.27/49.47 apply (zenon_L431_); trivial. % 49.27/49.47 apply (zenon_L256_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.27/49.47 apply (zenon_L435_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.27/49.47 apply (zenon_L183_); trivial. % 49.27/49.47 apply (zenon_L391_); trivial. % 49.27/49.47 apply (zenon_L440_); trivial. % 49.27/49.47 apply (zenon_L195_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.47 apply (zenon_L196_); trivial. % 49.27/49.47 apply (zenon_L443_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_L160_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.47 apply (zenon_L170_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.47 apply (zenon_L171_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L175_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L444_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L220_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L456_); trivial. % 49.27/49.47 apply (zenon_L457_); trivial. % 49.27/49.47 apply (zenon_L388_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L175_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L438_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L456_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.27/49.47 apply (zenon_L173_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.27/49.47 apply (zenon_L459_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.27/49.47 apply (zenon_L460_); trivial. % 49.27/49.47 apply (zenon_L463_); trivial. % 49.27/49.47 apply (zenon_L195_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.47 apply (zenon_L196_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.47 apply (zenon_L166_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.47 apply (zenon_L395_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.47 apply (zenon_L292_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L444_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_L455_); trivial. % 49.27/49.47 apply (zenon_L335_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_L160_); trivial. % 49.27/49.47 (* end of lemma zenon_L464_ *) % 49.27/49.47 assert (zenon_L465_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H34b zenon_H195 zenon_H193 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H19e zenon_H14 zenon_H19b. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H194 | zenon_intro zenon_H34c ]. % 49.27/49.47 apply (zenon_L154_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H34d ]. % 49.27/49.47 apply (zenon_L165_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H34d); [ zenon_intro zenon_H1ec | zenon_intro zenon_H19f ]. % 49.27/49.47 apply (zenon_L175_); trivial. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 (* end of lemma zenon_L465_ *) % 49.27/49.47 assert (zenon_L466_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H28d zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H1a7 zenon_H2d9 zenon_H30a zenon_H19d zenon_H1ed zenon_H1c4 zenon_H195 zenon_H34b zenon_H308 zenon_H264 zenon_H30d zenon_H228 zenon_H291 zenon_H250 zenon_H1f0 zenon_H2b4 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2af zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H1ba zenon_H28b zenon_H25e zenon_H260 zenon_H1d2. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.47 apply (zenon_L352_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.47 apply (zenon_L196_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.47 apply (zenon_L465_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.47 apply (zenon_L353_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.47 apply (zenon_L292_); trivial. % 49.27/49.47 apply (zenon_L323_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_L160_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_L198_); trivial. % 49.27/49.47 (* end of lemma zenon_L466_ *) % 49.27/49.47 assert (zenon_L467_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.27/49.47 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H228 zenon_H14 zenon_H1e6 zenon_H308 zenon_H261 zenon_H218 zenon_H213 zenon_H1de zenon_H256 zenon_H1d2 zenon_H29c zenon_H2a0 zenon_H1fc zenon_H25e zenon_H28b zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.27/49.47 apply (zenon_L222_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.27/49.47 apply (zenon_L194_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.27/49.47 apply (zenon_L218_); trivial. % 49.27/49.47 apply (zenon_L389_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_L206_); trivial. % 49.27/49.47 (* end of lemma zenon_L467_ *) % 49.27/49.47 assert (zenon_L468_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((e21) = (e22))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H30d zenon_H34e zenon_H210. % 49.27/49.47 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1c2 ]. % 49.27/49.47 cut (((e22) = (e22)) = ((e21) = (e22))). % 49.27/49.47 intro zenon_D_pnotp. % 49.27/49.47 apply zenon_H210. % 49.27/49.47 rewrite <- zenon_D_pnotp. % 49.27/49.47 exact zenon_H1f1. % 49.27/49.47 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.27/49.47 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 49.27/49.47 congruence. % 49.27/49.47 cut (((op2 (e22) (e20)) = (e21)) = ((e22) = (e21))). % 49.27/49.47 intro zenon_D_pnotp. % 49.27/49.47 apply zenon_H211. % 49.27/49.47 rewrite <- zenon_D_pnotp. % 49.27/49.47 exact zenon_H30d. % 49.27/49.47 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.27/49.47 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H34f]. % 49.27/49.47 congruence. % 49.27/49.47 exact (zenon_H34f zenon_H34e). % 49.27/49.47 apply zenon_H1cb. apply refl_equal. % 49.27/49.47 apply zenon_H1c2. apply refl_equal. % 49.27/49.47 apply zenon_H1c2. apply refl_equal. % 49.27/49.47 (* end of lemma zenon_L468_ *) % 49.27/49.47 assert (zenon_L469_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e22))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1da zenon_H25e zenon_H1dd zenon_H261 zenon_H1f0. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L383_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_L321_); trivial. % 49.27/49.47 apply (zenon_L336_); trivial. % 49.27/49.47 (* end of lemma zenon_L469_ *) % 49.27/49.47 assert (zenon_L470_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H30a zenon_H28d zenon_H19d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H250 zenon_H241 zenon_H264 zenon_H297 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H2a5 zenon_H2b4 zenon_H291 zenon_H277 zenon_H2bc zenon_H2af zenon_H285 zenon_H298 zenon_H1ba zenon_H2d8 zenon_H1e1 zenon_H2e6 zenon_H274 zenon_H271 zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H195 zenon_H2e4 zenon_H1f0 zenon_H20c zenon_H1b4 zenon_H2da zenon_H301 zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H1dd zenon_H25e zenon_H213 zenon_H25a zenon_H282 zenon_H2b9 zenon_H253 zenon_H28b zenon_H205 zenon_H2a0 zenon_H29c zenon_H1c9 zenon_H218 zenon_H206 zenon_H261 zenon_H308 zenon_H1e6 zenon_H228 zenon_H210 zenon_H2cf zenon_H1a7. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.47 apply (zenon_L262_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.47 apply (zenon_L469_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.47 apply (zenon_L292_); trivial. % 49.27/49.47 apply (zenon_L398_); trivial. % 49.27/49.47 (* end of lemma zenon_L470_ *) % 49.27/49.47 assert (zenon_L471_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2da zenon_H20c zenon_H1f0 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H298 zenon_H285 zenon_H2af zenon_H2bc zenon_H277 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H297 zenon_H264 zenon_H241 zenon_H250 zenon_H2d9 zenon_H2db zenon_H19d zenon_H28d zenon_H30a zenon_H33a zenon_H336 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.27/49.47 apply (zenon_L383_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.27/49.47 apply (zenon_L176_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.27/49.47 apply (zenon_L321_); trivial. % 49.27/49.47 apply (zenon_L388_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.47 apply (zenon_L196_); trivial. % 49.27/49.47 apply (zenon_L470_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_L160_); trivial. % 49.27/49.47 (* end of lemma zenon_L471_ *) % 49.27/49.47 assert (zenon_L472_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H350 zenon_H32b zenon_H322 zenon_H2ed zenon_H328 zenon_H2fa zenon_H2fc zenon_H325 zenon_H194 zenon_H331 zenon_H31f zenon_H34b zenon_H31c zenon_H317 zenon_H307 zenon_H31a zenon_H30d zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2da zenon_H1f0 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H271 zenon_H274 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H298 zenon_H285 zenon_H2af zenon_H2bc zenon_H277 zenon_H291 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H297 zenon_H264 zenon_H241 zenon_H250 zenon_H2d9 zenon_H2db zenon_H19d zenon_H28d zenon_H30a zenon_H33a zenon_H336 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ]. % 49.27/49.47 apply (zenon_L399_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.47 apply (zenon_L393_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.47 apply (zenon_L196_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.47 apply (zenon_L262_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.27/49.47 apply (zenon_L170_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.27/49.47 apply (zenon_L171_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.27/49.47 apply (zenon_L444_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.27/49.47 apply (zenon_L177_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.27/49.47 apply (zenon_L221_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.27/49.47 apply (zenon_L178_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.27/49.47 apply (zenon_L180_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.27/49.47 apply (zenon_L466_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.27/49.47 apply (zenon_L199_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.27/49.47 apply (zenon_L200_); trivial. % 49.27/49.47 apply (zenon_L389_); trivial. % 49.27/49.47 apply (zenon_L467_); trivial. % 49.27/49.47 apply (zenon_L385_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.47 apply (zenon_L292_); trivial. % 49.27/49.47 apply (zenon_L398_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.47 apply (zenon_L159_); trivial. % 49.27/49.47 apply (zenon_L160_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ]. % 49.27/49.47 apply (zenon_L468_); trivial. % 49.27/49.47 apply (zenon_L471_); trivial. % 49.27/49.47 (* end of lemma zenon_L472_ *) % 49.27/49.47 assert (zenon_L473_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((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 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2af zenon_H1b4 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.27/49.47 apply (zenon_L382_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.27/49.47 apply (zenon_L418_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.27/49.47 apply (zenon_L217_); trivial. % 49.27/49.47 apply (zenon_L423_); trivial. % 49.27/49.47 (* end of lemma zenon_L473_ *) % 49.27/49.47 assert (zenon_L474_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.27/49.47 do 0 intro. intros zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H30d zenon_H317 zenon_H1c8 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H342 zenon_H1c9 zenon_H28d zenon_H19d zenon_H2fa zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H291 zenon_H297 zenon_H2af zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H205 zenon_H2fc zenon_H2da zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H2a5 zenon_H241 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H1e6 zenon_H322 zenon_H325 zenon_H2b9 zenon_H2cf zenon_H1a7 zenon_H28a zenon_H28b. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.27/49.47 apply (zenon_L265_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.27/49.47 apply (zenon_L156_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.27/49.47 apply (zenon_L158_); trivial. % 49.27/49.47 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.27/49.48 apply (zenon_L473_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.27/49.48 apply (zenon_L196_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.27/49.48 apply (zenon_L166_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.27/49.48 apply (zenon_L473_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.27/49.48 apply (zenon_L292_); trivial. % 49.27/49.48 apply (zenon_L442_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.27/49.48 apply (zenon_L159_); trivial. % 49.27/49.48 apply (zenon_L160_); trivial. % 49.27/49.48 apply (zenon_L215_); trivial. % 49.27/49.48 (* end of lemma zenon_L474_ *) % 49.27/49.48 assert (zenon_L475_ : (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H28b zenon_H1a7 zenon_H2cf zenon_H2b9 zenon_H325 zenon_H322 zenon_H1e6 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H2a5 zenon_H2e4 zenon_H2f2 zenon_H1ba zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2da zenon_H2fc zenon_H205 zenon_H2ce zenon_H1f5 zenon_H285 zenon_H2bc zenon_H298 zenon_H2af zenon_H297 zenon_H291 zenon_H2d8 zenon_H1d2 zenon_H30a zenon_H2f4 zenon_H1fc zenon_H250 zenon_H1f0 zenon_H210 zenon_H213 zenon_H308 zenon_H228 zenon_H1dd zenon_H25a zenon_H282 zenon_H2ff zenon_H253 zenon_H2cb zenon_H2c0 zenon_H2d4 zenon_H307 zenon_H277 zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H301 zenon_H2fa zenon_H19d zenon_H28d zenon_H1c9 zenon_H342 zenon_H31f zenon_H331 zenon_H194 zenon_H2b4 zenon_H1c8 zenon_H317 zenon_H2db zenon_H1ad zenon_H19e zenon_H1b4 zenon_H350 zenon_H32b zenon_H2ed zenon_H328 zenon_H34b zenon_H31c zenon_H31a zenon_H2a0 zenon_H195 zenon_H271 zenon_H348 zenon_H19b zenon_H14 zenon_H29c. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.27/49.48 apply (zenon_L165_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.27/49.48 apply (zenon_L170_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.27/49.48 apply (zenon_L464_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.27/49.48 apply (zenon_L294_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.27/49.48 apply (zenon_L472_); trivial. % 49.27/49.48 apply (zenon_L474_); trivial. % 49.27/49.48 apply (zenon_L222_); trivial. % 49.27/49.48 (* end of lemma zenon_L475_ *) % 49.27/49.48 assert (zenon_L476_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e11) (op1 (e10) (e11))) = (e11))/\(((op1 (e12) (op1 (e10) (e12))) = (e12))/\((op1 (e13) (op1 (e10) (e13))) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H9d zenon_Hae zenon_He6 zenon_Haf. % 49.27/49.48 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.27/49.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.27/49.48 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_Hae. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_Ha3. % 49.27/49.48 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.27/49.48 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 49.27/49.48 congruence. % 49.27/49.48 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ]. % 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e11)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H12e. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_Hb8. % 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 49.27/49.48 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 49.27/49.48 congruence. % 49.27/49.48 apply (zenon_L73_); trivial. % 49.27/49.48 apply zenon_Hb9. apply refl_equal. % 49.27/49.48 apply zenon_Hb9. apply refl_equal. % 49.27/49.48 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.27/49.48 (* end of lemma zenon_L476_ *) % 49.27/49.48 assert (zenon_L477_ : (((op1 (e10) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e12) (op1 (e11) (e12))) = (e12))/\((op1 (e13) (op1 (e11) (e13))) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_Had zenon_H33 zenon_H60 zenon_H353. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.27/49.48 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H33. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_Hb3. % 49.27/49.48 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H354]. % 49.27/49.48 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H355]. % 49.27/49.48 congruence. % 49.27/49.48 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H5d | zenon_intro zenon_H5e ]. % 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H355. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H5d. % 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 49.27/49.48 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H356]. % 49.27/49.48 congruence. % 49.27/49.48 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H357]. % 49.27/49.48 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.27/49.48 congruence. % 49.27/49.48 apply zenon_H51. apply refl_equal. % 49.27/49.48 apply zenon_H357. apply sym_equal. exact zenon_H60. % 49.27/49.48 apply zenon_H5e. apply refl_equal. % 49.27/49.48 apply zenon_H5e. apply refl_equal. % 49.27/49.48 apply zenon_H354. apply sym_equal. exact zenon_H353. % 49.27/49.48 (* end of lemma zenon_L477_ *) % 49.27/49.48 assert (zenon_L478_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_Haf zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L476_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L477_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L76_); trivial. % 49.27/49.48 (* end of lemma zenon_L478_ *) % 49.27/49.48 assert (zenon_L479_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf zenon_Hc8. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L476_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L477_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L38_); trivial. % 49.27/49.48 (* end of lemma zenon_L479_ *) % 49.27/49.48 assert (zenon_L480_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hc7 zenon_Haf. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.48 apply (zenon_L29_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.48 apply (zenon_L30_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.48 apply (zenon_L478_); trivial. % 49.27/49.48 apply (zenon_L479_); trivial. % 49.27/49.48 (* end of lemma zenon_L480_ *) % 49.27/49.48 assert (zenon_L481_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H18b zenon_H94 zenon_H4f. % 49.27/49.48 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 49.27/49.48 cut (((e11) = (e11)) = ((e10) = (e11))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H4f. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H50. % 49.27/49.48 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.27/49.48 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 49.27/49.48 congruence. % 49.27/49.48 cut (((op1 (e13) (e11)) = (e10)) = ((e11) = (e10))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H52. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H18b. % 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.27/49.48 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H358]. % 49.27/49.48 congruence. % 49.27/49.48 exact (zenon_H358 zenon_H94). % 49.27/49.48 apply zenon_H2a. apply refl_equal. % 49.27/49.48 apply zenon_H51. apply refl_equal. % 49.27/49.48 apply zenon_H51. apply refl_equal. % 49.27/49.48 (* end of lemma zenon_L481_ *) % 49.27/49.48 assert (zenon_L482_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H359 zenon_H35a. % 49.27/49.48 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35b]. % 49.27/49.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.27/49.48 congruence. % 49.27/49.48 apply zenon_H2f. apply refl_equal. % 49.27/49.48 apply zenon_H35b. apply sym_equal. exact zenon_H35a. % 49.27/49.48 (* end of lemma zenon_L482_ *) % 49.27/49.48 assert (zenon_L483_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hc6 zenon_H18e zenon_H35a zenon_Haf. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.27/49.48 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H18e. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_Hcd. % 49.27/49.48 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.27/49.48 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 49.27/49.48 congruence. % 49.27/49.48 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H35c. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H3b. % 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H359]. % 49.27/49.48 congruence. % 49.27/49.48 apply (zenon_L482_); trivial. % 49.27/49.48 apply zenon_H3c. apply refl_equal. % 49.27/49.48 apply zenon_H3c. apply refl_equal. % 49.27/49.48 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.27/49.48 (* end of lemma zenon_L483_ *) % 49.27/49.48 assert (zenon_L484_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_H35a zenon_Haf. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L476_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L477_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L483_); trivial. % 49.27/49.48 (* end of lemma zenon_L484_ *) % 49.27/49.48 assert (zenon_L485_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H122 zenon_H126 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H35a zenon_H146 zenon_H58 zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L72_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.48 apply (zenon_L46_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.48 apply (zenon_L93_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L484_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 (* end of lemma zenon_L485_ *) % 49.27/49.48 assert (zenon_L486_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H35d zenon_H8b zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H122 zenon_H126 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H146 zenon_H58 zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L42_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.48 apply (zenon_L28_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.48 apply (zenon_L93_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L480_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.48 apply (zenon_L65_); trivial. % 49.27/49.48 apply (zenon_L485_); trivial. % 49.27/49.48 (* end of lemma zenon_L486_ *) % 49.27/49.48 assert (zenon_L487_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H126 zenon_H122 zenon_H9e zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H11d zenon_H99 zenon_H9a zenon_H64 zenon_H11e zenon_H82 zenon_H185 zenon_H20 zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_L486_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.48 apply (zenon_L68_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.48 apply (zenon_L132_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.48 apply (zenon_L480_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.48 apply (zenon_L65_); trivial. % 49.27/49.48 apply (zenon_L484_); trivial. % 49.27/49.48 (* end of lemma zenon_L487_ *) % 49.27/49.48 assert (zenon_L488_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H126 zenon_H122 zenon_H1f zenon_H20 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H9e zenon_He6. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.48 apply (zenon_L70_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.48 apply (zenon_L66_); trivial. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 (* end of lemma zenon_L488_ *) % 49.27/49.48 assert (zenon_L489_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H360 zenon_H24 zenon_H54 zenon_H13d zenon_H20. % 49.27/49.48 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H360. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H24. % 49.27/49.48 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 49.27/49.48 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H361]. % 49.27/49.48 congruence. % 49.27/49.48 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 49.27/49.48 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H361. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H1a. % 49.27/49.48 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 49.27/49.48 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 49.27/49.48 congruence. % 49.27/49.48 exact (zenon_H55 zenon_H54). % 49.27/49.48 apply zenon_H1b. apply refl_equal. % 49.27/49.48 apply zenon_H1b. apply refl_equal. % 49.27/49.48 apply (zenon_L87_); trivial. % 49.27/49.48 (* end of lemma zenon_L489_ *) % 49.27/49.48 assert (zenon_L490_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H63 zenon_He4 zenon_H9a. % 49.27/49.48 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H63. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_He4. % 49.27/49.48 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 49.27/49.48 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 49.27/49.48 congruence. % 49.27/49.48 apply zenon_H66. apply refl_equal. % 49.27/49.48 apply zenon_Hf0. apply sym_equal. exact zenon_H9a. % 49.27/49.48 (* end of lemma zenon_L490_ *) % 49.27/49.48 assert (zenon_L491_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H108 zenon_He0 zenon_H11b zenon_H99 zenon_He4 zenon_H63 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_He1 | zenon_intro zenon_H109 ]. % 49.27/49.48 apply (zenon_L44_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H64 | zenon_intro zenon_H10a ]. % 49.27/49.48 apply (zenon_L66_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H9a | zenon_intro zenon_H81 ]. % 49.27/49.48 apply (zenon_L490_); trivial. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 (* end of lemma zenon_L491_ *) % 49.27/49.48 assert (zenon_L492_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H155 zenon_H96 zenon_He6 zenon_H9e zenon_H18b zenon_H4f zenon_H122 zenon_H126 zenon_H54 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.48 apply (zenon_L45_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.48 apply (zenon_L488_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.48 apply (zenon_L489_); trivial. % 49.27/49.48 apply (zenon_L491_); trivial. % 49.27/49.48 (* end of lemma zenon_L492_ *) % 49.27/49.48 assert (zenon_L493_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H64 zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H111 zenon_H185 zenon_H35d zenon_Hc7 zenon_H94 zenon_H76 zenon_Hd6 zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H54 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_L486_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.48 apply (zenon_L69_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.48 apply (zenon_L132_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.48 apply (zenon_L480_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.48 apply (zenon_L492_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.48 apply (zenon_L65_); trivial. % 49.27/49.48 apply (zenon_L484_); trivial. % 49.27/49.48 (* end of lemma zenon_L493_ *) % 49.27/49.48 assert (zenon_L494_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H185 zenon_Hfb zenon_H24 zenon_H101 zenon_H20 zenon_H99. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.48 apply (zenon_L57_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.48 apply (zenon_L132_); trivial. % 49.27/49.48 apply (zenon_L58_); trivial. % 49.27/49.48 (* end of lemma zenon_L494_ *) % 49.27/49.48 assert (zenon_L495_ : ((op1 (e13) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H12c zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L74_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L75_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L76_); trivial. % 49.27/49.48 (* end of lemma zenon_L495_ *) % 49.27/49.48 assert (zenon_L496_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H64 zenon_H58 zenon_H20 zenon_H122 zenon_H126 zenon_He6 zenon_H12b zenon_H11d zenon_H57 zenon_Hde zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L72_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L67_); trivial. % 49.27/49.48 apply (zenon_L495_); trivial. % 49.27/49.48 (* end of lemma zenon_L496_ *) % 49.27/49.48 assert (zenon_L497_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H15f zenon_H117 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H20 zenon_H185 zenon_H82 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H58 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_Hd9 zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_H18d zenon_H54 zenon_Hfd zenon_H63 zenon_H11e zenon_H111 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H10b zenon_H23 zenon_H72 zenon_H160 zenon_H6c zenon_H16c zenon_H8b zenon_He6. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.48 apply (zenon_L18_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.48 apply (zenon_L19_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.48 apply (zenon_L113_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.48 apply (zenon_L19_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.48 apply (zenon_L22_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.48 apply (zenon_L23_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.48 apply (zenon_L24_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.48 apply (zenon_L487_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.48 apply (zenon_L493_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.48 apply (zenon_L487_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_L486_); trivial. % 49.27/49.48 apply (zenon_L494_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_L486_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.48 apply (zenon_L496_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.48 apply (zenon_L132_); trivial. % 49.27/49.48 apply (zenon_L478_); trivial. % 49.27/49.48 apply (zenon_L80_); trivial. % 49.27/49.48 (* end of lemma zenon_L497_ *) % 49.27/49.48 assert (zenon_L498_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L74_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L83_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L76_); trivial. % 49.27/49.48 (* end of lemma zenon_L498_ *) % 49.27/49.48 assert (zenon_L499_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H362 zenon_H18e zenon_H9e zenon_Haf zenon_Hc7 zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ]. % 49.27/49.48 apply (zenon_L484_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ]. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L479_); trivial. % 49.27/49.48 apply (zenon_L498_); trivial. % 49.27/49.48 (* end of lemma zenon_L499_ *) % 49.27/49.48 assert (zenon_L500_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_Haf. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.48 apply (zenon_L29_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.48 apply (zenon_L30_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.48 apply (zenon_L499_); trivial. % 49.27/49.48 apply (zenon_L479_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.48 apply (zenon_L65_); trivial. % 49.27/49.48 apply (zenon_L484_); trivial. % 49.27/49.48 (* end of lemma zenon_L500_ *) % 49.27/49.48 assert (zenon_L501_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H58 zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H18e zenon_H146 zenon_H8b zenon_H151 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L42_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.48 apply (zenon_L28_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.48 apply (zenon_L93_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L500_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 (* end of lemma zenon_L501_ *) % 49.27/49.48 assert (zenon_L502_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H58 zenon_H146 zenon_H64 zenon_H3a zenon_H135 zenon_H8b zenon_Hd9 zenon_H111 zenon_H185 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H54 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.48 apply (zenon_L113_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.48 apply (zenon_L19_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.48 apply (zenon_L22_); trivial. % 49.27/49.48 apply (zenon_L493_); trivial. % 49.27/49.48 (* end of lemma zenon_L502_ *) % 49.27/49.48 assert (zenon_L503_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_Hea zenon_H35d zenon_H8b zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_He6 zenon_H126 zenon_H122 zenon_H20 zenon_H64 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H94 zenon_H58. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.48 apply (zenon_L23_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.48 apply (zenon_L24_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.48 apply (zenon_L68_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.48 apply (zenon_L502_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.48 apply (zenon_L68_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.48 apply (zenon_L57_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L78_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_L486_); trivial. % 49.27/49.48 apply (zenon_L496_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.48 apply (zenon_L25_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.48 apply (zenon_L79_); trivial. % 49.27/49.48 apply (zenon_L42_); trivial. % 49.27/49.48 (* end of lemma zenon_L503_ *) % 49.27/49.48 assert (zenon_L504_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e10) = (e13))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H18b zenon_Hdc zenon_H2d. % 49.27/49.48 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.27/49.48 cut (((e13) = (e13)) = ((e10) = (e13))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H2d. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H2e. % 49.27/49.48 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.27/49.48 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 49.27/49.48 congruence. % 49.27/49.48 cut (((op1 (e13) (e11)) = (e10)) = ((e13) = (e10))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H30. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H18b. % 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.27/49.48 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 49.27/49.48 congruence. % 49.27/49.48 exact (zenon_Hdd zenon_Hdc). % 49.27/49.48 apply zenon_H2a. apply refl_equal. % 49.27/49.48 apply zenon_H2f. apply refl_equal. % 49.27/49.48 apply zenon_H2f. apply refl_equal. % 49.27/49.48 (* end of lemma zenon_L504_ *) % 49.27/49.48 assert (zenon_L505_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e10) = (e12))) -> False). % 49.27/49.48 do 0 intro. intros zenon_He7 zenon_Hde zenon_H76. % 49.27/49.48 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.27/49.48 cut (((e12) = (e12)) = ((e10) = (e12))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H76. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H77. % 49.27/49.48 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.27/49.48 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 49.27/49.48 congruence. % 49.27/49.48 cut (((op1 (e11) (e13)) = (e10)) = ((e12) = (e10))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H78. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_He7. % 49.27/49.48 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 49.27/49.48 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 49.27/49.48 congruence. % 49.27/49.48 exact (zenon_Hdf zenon_Hde). % 49.27/49.48 apply zenon_H2a. apply refl_equal. % 49.27/49.48 apply zenon_H48. apply refl_equal. % 49.27/49.48 apply zenon_H48. apply refl_equal. % 49.27/49.48 (* end of lemma zenon_L505_ *) % 49.27/49.48 assert (zenon_L506_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_Hae zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H18e zenon_H35a zenon_Haf. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L476_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L49_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L483_); trivial. % 49.27/49.48 (* end of lemma zenon_L506_ *) % 49.27/49.48 assert (zenon_L507_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H13a zenon_H92 zenon_Hc8. % 49.27/49.48 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H13a. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H92. % 49.27/49.48 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 49.27/49.48 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.48 congruence. % 49.27/49.48 apply zenon_H3c. apply refl_equal. % 49.27/49.48 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8. % 49.27/49.48 (* end of lemma zenon_L507_ *) % 49.27/49.48 assert (zenon_L508_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_Hc8 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.27/49.48 apply (zenon_L141_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.27/49.48 apply (zenon_L70_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.27/49.48 apply (zenon_L507_); trivial. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 (* end of lemma zenon_L508_ *) % 49.27/49.48 assert (zenon_L509_ : (((op1 (e10) (op1 (e13) (e10))) = (e10))/\(((op1 (e11) (op1 (e13) (e11))) = (e11))/\(((op1 (e12) (op1 (e13) (e12))) = (e12))/\((op1 (e13) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hc6 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.27/49.48 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.27/49.48 cut (((op1 (e12) (op1 (e13) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H368. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_Hce. % 49.27/49.48 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a]. % 49.27/49.48 cut (((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 49.27/49.48 congruence. % 49.27/49.48 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e13) (e12))) = (op1 (e12) (e11)))). % 49.27/49.48 intro zenon_D_pnotp. % 49.27/49.48 apply zenon_H144. % 49.27/49.48 rewrite <- zenon_D_pnotp. % 49.27/49.48 exact zenon_H6d. % 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 49.27/49.48 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 49.27/49.48 congruence. % 49.27/49.48 apply (zenon_L90_); trivial. % 49.27/49.48 apply zenon_H6e. apply refl_equal. % 49.27/49.48 apply zenon_H6e. apply refl_equal. % 49.27/49.48 apply zenon_H36a. apply sym_equal. exact zenon_H369. % 49.27/49.48 (* end of lemma zenon_L509_ *) % 49.27/49.48 assert (zenon_L510_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L74_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L83_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L509_); trivial. % 49.27/49.48 (* end of lemma zenon_L510_ *) % 49.27/49.48 assert (zenon_L511_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H142 zenon_H11b zenon_H95. % 49.27/49.48 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.48 apply (zenon_L74_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.48 apply (zenon_L83_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.48 apply (zenon_L94_); trivial. % 49.27/49.48 apply (zenon_L91_); trivial. % 49.27/49.48 (* end of lemma zenon_L511_ *) % 49.27/49.48 assert (zenon_L512_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H95 zenon_H11b zenon_H142 zenon_Hfb zenon_Hea zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H9e zenon_Hae zenon_He0 zenon_H9a zenon_H18e zenon_Haf zenon_H362 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.27/49.48 apply (zenon_L141_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.27/49.48 apply (zenon_L70_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ]. % 49.27/49.48 apply (zenon_L506_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ]. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L507_); trivial. % 49.27/49.48 apply (zenon_L511_); trivial. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 (* end of lemma zenon_L512_ *) % 49.27/49.48 assert (zenon_L513_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H126 zenon_H4f zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H362 zenon_Haf zenon_H18e zenon_H9a zenon_He0 zenon_Hae zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_Hfb zenon_H142 zenon_H95 zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H9e zenon_He6. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.48 apply (zenon_L70_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.48 apply (zenon_L512_); trivial. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 (* end of lemma zenon_L513_ *) % 49.27/49.48 assert (zenon_L514_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hfb zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_Haf zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.48 apply (zenon_L108_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.48 apply (zenon_L505_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H35a | zenon_intro zenon_H363 ]. % 49.27/49.48 apply (zenon_L506_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H364 ]. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L508_); trivial. % 49.27/49.48 apply (zenon_L510_); trivial. % 49.27/49.48 apply (zenon_L507_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.48 apply (zenon_L513_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.48 apply (zenon_L31_); trivial. % 49.27/49.48 apply (zenon_L508_); trivial. % 49.27/49.48 (* end of lemma zenon_L514_ *) % 49.27/49.48 assert (zenon_L515_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L504_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L67_); trivial. % 49.27/49.48 apply (zenon_L510_); trivial. % 49.27/49.48 (* end of lemma zenon_L515_ *) % 49.27/49.48 assert (zenon_L516_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.48 apply (zenon_L108_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.48 apply (zenon_L505_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.48 apply (zenon_L515_); trivial. % 49.27/49.48 apply (zenon_L96_); trivial. % 49.27/49.48 (* end of lemma zenon_L516_ *) % 49.27/49.48 assert (zenon_L517_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_Hc7 zenon_H135 zenon_H2d zenon_H82 zenon_H185 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hfb zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.48 apply (zenon_L516_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.48 apply (zenon_L26_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.48 apply (zenon_L132_); trivial. % 49.27/49.48 apply (zenon_L514_); trivial. % 49.27/49.48 (* end of lemma zenon_L517_ *) % 49.27/49.48 assert (zenon_L518_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H11d zenon_Hc7 zenon_H135 zenon_H2d zenon_H82 zenon_H185 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H96 zenon_H36b zenon_He6 zenon_H9e zenon_H142 zenon_Hea zenon_He7 zenon_H12b zenon_Hae zenon_He0 zenon_H18e zenon_H362 zenon_H4f zenon_H126 zenon_H9a zenon_H99 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L504_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.48 apply (zenon_L28_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.48 apply (zenon_L93_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L514_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L517_); trivial. % 49.27/49.48 (* end of lemma zenon_L518_ *) % 49.27/49.48 assert (zenon_L519_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H99 zenon_H9a zenon_H126 zenon_H4f zenon_H362 zenon_H18e zenon_He0 zenon_Hae zenon_H12b zenon_He7 zenon_Hea zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H185 zenon_H82 zenon_H2d zenon_H135 zenon_Hc7 zenon_H11d zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H9e zenon_He6. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.48 apply (zenon_L70_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.48 apply (zenon_L481_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.48 apply (zenon_L518_); trivial. % 49.27/49.48 apply (zenon_L71_); trivial. % 49.27/49.48 (* end of lemma zenon_L519_ *) % 49.27/49.48 assert (zenon_L520_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H54 zenon_H18d zenon_H15a zenon_H18b zenon_H2d zenon_H3a zenon_H135 zenon_Hd9 zenon_H63 zenon_H82 zenon_H1f zenon_H185 zenon_H24 zenon_H101 zenon_H20 zenon_H99. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.48 apply (zenon_L8_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.48 apply (zenon_L504_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.48 apply (zenon_L58_); trivial. % 49.27/49.48 apply (zenon_L104_); trivial. % 49.27/49.48 apply (zenon_L494_); trivial. % 49.27/49.48 (* end of lemma zenon_L520_ *) % 49.27/49.48 assert (zenon_L521_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.48 do 0 intro. intros zenon_H15f zenon_H18e zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H117 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H54 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_Hd6 zenon_H76 zenon_Hc7 zenon_H35d zenon_H185 zenon_H111 zenon_Hd9 zenon_H135 zenon_H3a zenon_H146 zenon_H58 zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H8b zenon_He6. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.48 apply (zenon_L18_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.48 apply (zenon_L19_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.48 apply (zenon_L502_); trivial. % 49.27/49.48 apply (zenon_L80_); trivial. % 49.27/49.48 (* end of lemma zenon_L521_ *) % 49.27/49.48 assert (zenon_L522_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 49.27/49.48 do 0 intro. intros zenon_H16c zenon_H6c zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_H58 zenon_H3a zenon_H135 zenon_Hd9 zenon_H111 zenon_He4 zenon_H82 zenon_H185 zenon_H20 zenon_H35d zenon_Hc7 zenon_H362 zenon_H9e zenon_H12b zenon_He7 zenon_H13a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H117 zenon_He6 zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H24 zenon_H18e. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.48 apply (zenon_L113_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.48 apply (zenon_L19_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.48 apply (zenon_L22_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.48 apply (zenon_L7_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.48 apply (zenon_L144_); trivial. % 49.27/49.48 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.49 apply (zenon_L501_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.49 apply (zenon_L69_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.49 apply (zenon_L26_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.49 apply (zenon_L132_); trivial. % 49.27/49.49 apply (zenon_L500_); trivial. % 49.27/49.49 (* end of lemma zenon_L522_ *) % 49.27/49.49 assert (zenon_L523_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H113 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H2d zenon_H18e zenon_Hea zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_He4 zenon_He6 zenon_H58. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.49 apply (zenon_L4_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.49 apply (zenon_L4_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.49 apply (zenon_L6_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.49 apply (zenon_L521_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.49 apply (zenon_L44_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.49 apply (zenon_L15_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.49 apply (zenon_L522_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.49 apply (zenon_L140_); trivial. % 49.27/49.49 apply (zenon_L492_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.49 apply (zenon_L7_); trivial. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.49 apply (zenon_L69_); trivial. % 49.27/49.49 apply (zenon_L46_); trivial. % 49.27/49.49 (* end of lemma zenon_L523_ *) % 49.27/49.49 assert (zenon_L524_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H36e zenon_H173 zenon_H9b zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H82 zenon_H63 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H174 | zenon_intro zenon_H36f ]. % 49.27/49.49 apply (zenon_L111_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H56 | zenon_intro zenon_H370 ]. % 49.27/49.49 apply (zenon_L60_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_He4 | zenon_intro zenon_H57 ]. % 49.27/49.49 apply (zenon_L523_); trivial. % 49.27/49.49 apply (zenon_L515_); trivial. % 49.27/49.49 (* end of lemma zenon_L524_ *) % 49.27/49.49 assert (zenon_L525_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H369 zenon_H11b zenon_H368 zenon_H1f zenon_Hea zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H18b zenon_H2d zenon_H3a zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H9b zenon_H173 zenon_H36e zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.49 apply (zenon_L28_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.49 apply (zenon_L93_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L524_); trivial. % 49.27/49.49 apply (zenon_L104_); trivial. % 49.27/49.49 (* end of lemma zenon_L525_ *) % 49.27/49.49 assert (zenon_L526_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H10b zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H54 zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H82 zenon_H63 zenon_H99 zenon_He0 zenon_H108 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.49 apply (zenon_L491_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.49 apply (zenon_L518_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.49 apply (zenon_L520_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.49 apply (zenon_L7_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.49 apply (zenon_L144_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.49 apply (zenon_L525_); trivial. % 49.27/49.49 apply (zenon_L524_); trivial. % 49.27/49.49 (* end of lemma zenon_L526_ *) % 49.27/49.49 assert (zenon_L527_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H11b zenon_H368 zenon_Hea zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H54 zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.49 apply (zenon_L108_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.49 apply (zenon_L505_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.49 apply (zenon_L526_); trivial. % 49.27/49.49 apply (zenon_L508_); trivial. % 49.27/49.49 (* end of lemma zenon_L527_ *) % 49.27/49.49 assert (zenon_L528_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H15f zenon_H58 zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H20 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H1f zenon_H24 zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H15a zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_He6. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.49 apply (zenon_L18_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.49 apply (zenon_L19_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.49 apply (zenon_L23_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.49 apply (zenon_L24_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.49 apply (zenon_L68_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.49 apply (zenon_L113_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.49 apply (zenon_L25_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.49 apply (zenon_L79_); trivial. % 49.27/49.49 apply (zenon_L72_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.49 apply (zenon_L19_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.49 apply (zenon_L22_); trivial. % 49.27/49.49 apply (zenon_L503_); trivial. % 49.27/49.49 apply (zenon_L80_); trivial. % 49.27/49.49 (* end of lemma zenon_L528_ *) % 49.27/49.49 assert (zenon_L529_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e12))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H60 zenon_H57 zenon_H11d zenon_H99 zenon_H64 zenon_H1f zenon_H117 zenon_H11e zenon_He7 zenon_H76. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.49 apply (zenon_L23_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.49 apply (zenon_L24_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.49 apply (zenon_L68_); trivial. % 49.27/49.49 apply (zenon_L505_); trivial. % 49.27/49.49 (* end of lemma zenon_L529_ *) % 49.27/49.49 assert (zenon_L530_ : ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_He6 zenon_H12b zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.49 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.49 apply (zenon_L74_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.49 apply (zenon_L83_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.49 apply (zenon_L37_); trivial. % 49.27/49.49 apply (zenon_L509_); trivial. % 49.27/49.49 (* end of lemma zenon_L530_ *) % 49.27/49.49 assert (zenon_L531_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L67_); trivial. % 49.27/49.49 apply (zenon_L530_); trivial. % 49.27/49.49 (* end of lemma zenon_L531_ *) % 49.27/49.49 assert (zenon_L532_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_He7 zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_H13a zenon_H92. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.49 apply (zenon_L108_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.49 apply (zenon_L505_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.49 apply (zenon_L531_); trivial. % 49.27/49.49 apply (zenon_L507_); trivial. % 49.27/49.49 (* end of lemma zenon_L532_ *) % 49.27/49.49 assert (zenon_L533_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L67_); trivial. % 49.27/49.49 apply (zenon_L84_); trivial. % 49.27/49.49 (* end of lemma zenon_L533_ *) % 49.27/49.49 assert (zenon_L534_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc8 zenon_H57 zenon_H11d. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L67_); trivial. % 49.27/49.49 apply (zenon_L98_); trivial. % 49.27/49.49 (* end of lemma zenon_L534_ *) % 49.27/49.49 assert (zenon_L535_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H11b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.49 apply (zenon_L532_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.49 apply (zenon_L92_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.49 apply (zenon_L533_); trivial. % 49.27/49.49 apply (zenon_L534_); trivial. % 49.27/49.49 (* end of lemma zenon_L535_ *) % 49.27/49.49 assert (zenon_L536_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H135 zenon_H3a zenon_H1f zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L67_); trivial. % 49.27/49.49 apply (zenon_L104_); trivial. % 49.27/49.49 (* end of lemma zenon_L536_ *) % 49.27/49.49 assert (zenon_L537_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H6c zenon_H117 zenon_H111 zenon_H142 zenon_Hd6 zenon_H15a zenon_H36b zenon_H96 zenon_H76 zenon_H11b zenon_H368 zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H18b zenon_H2d zenon_H20 zenon_H3a zenon_H135 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.49 apply (zenon_L7_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.49 apply (zenon_L535_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.49 apply (zenon_L536_); trivial. % 49.27/49.49 apply (zenon_L516_); trivial. % 49.27/49.49 (* end of lemma zenon_L537_ *) % 49.27/49.49 assert (zenon_L538_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.49 apply (zenon_L17_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.49 apply (zenon_L68_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.49 apply (zenon_L88_); trivial. % 49.27/49.49 apply (zenon_L535_); trivial. % 49.27/49.49 (* end of lemma zenon_L538_ *) % 49.27/49.49 assert (zenon_L539_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H154 zenon_Hea zenon_He0 zenon_Hc7 zenon_H15a zenon_H33 zenon_Hfd zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H7b zenon_H11d zenon_H57 zenon_H24 zenon_H1f zenon_H6c zenon_H13a zenon_He7 zenon_H12b zenon_He6 zenon_H20 zenon_H3a zenon_H135 zenon_H117 zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H9a zenon_H99 zenon_H58 zenon_H155 zenon_H18b zenon_H2d. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.49 apply (zenon_L17_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.49 apply (zenon_L488_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.49 apply (zenon_L489_); trivial. % 49.27/49.49 apply (zenon_L537_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.49 apply (zenon_L25_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.49 apply (zenon_L538_); trivial. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 (* end of lemma zenon_L539_ *) % 49.27/49.49 assert (zenon_L540_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((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) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.49 do 0 intro. intros zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H15a zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H117. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.49 apply (zenon_L523_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.49 apply (zenon_L539_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.49 apply (zenon_L57_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.49 apply (zenon_L7_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.49 apply (zenon_L533_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.49 apply (zenon_L536_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.49 apply (zenon_L8_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.49 apply (zenon_L504_); trivial. % 49.27/49.49 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.49 apply (zenon_L67_); trivial. % 49.27/49.49 apply (zenon_L498_); trivial. % 49.27/49.49 (* end of lemma zenon_L540_ *) % 49.27/49.49 assert (zenon_L541_ : ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((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) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H2c zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H33 zenon_H6c zenon_H15a zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_H13a zenon_Hea zenon_H1f zenon_H24 zenon_H117. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_L528_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L2_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.50 apply (zenon_L18_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.50 apply (zenon_L529_); trivial. % 49.27/49.50 apply (zenon_L80_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_L540_); trivial. % 49.27/49.50 (* end of lemma zenon_L541_ *) % 49.27/49.50 assert (zenon_L542_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H117 zenon_Hea zenon_H13a zenon_H12b zenon_He6 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H15a zenon_H6c zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_Hc7 zenon_H360 zenon_H126 zenon_H122 zenon_H4f zenon_H9e zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H58 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_Hae zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_L541_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 (* end of lemma zenon_L542_ *) % 49.27/49.50 assert (zenon_L543_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((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) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H35d zenon_H362 zenon_Hae zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H6c zenon_H15a zenon_H135 zenon_H2d zenon_H11d zenon_H12b zenon_H13a zenon_Hea zenon_H117 zenon_He6 zenon_H58. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_L497_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L15_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.50 apply (zenon_L18_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.50 apply (zenon_L113_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.50 apply (zenon_L22_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.50 apply (zenon_L144_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L501_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L503_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L132_); trivial. % 49.27/49.50 apply (zenon_L500_); trivial. % 49.27/49.50 apply (zenon_L80_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.50 apply (zenon_L45_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.50 apply (zenon_L519_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.50 apply (zenon_L520_); trivial. % 49.27/49.50 apply (zenon_L60_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.50 apply (zenon_L488_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.50 apply (zenon_L489_); trivial. % 49.27/49.50 apply (zenon_L527_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_L542_); trivial. % 49.27/49.50 apply (zenon_L46_); trivial. % 49.27/49.50 (* end of lemma zenon_L543_ *) % 49.27/49.50 assert (zenon_L544_ : ((op1 (e10) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e12) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H10e zenon_H54 zenon_H111. % 49.27/49.50 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ]. % 49.27/49.50 cut (((e13) = (e13)) = ((e12) = (e13))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H111. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H2e. % 49.27/49.50 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.27/49.50 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H112]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((op1 (e10) (e11)) = (e12)) = ((e13) = (e12))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H112. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H10e. % 49.27/49.50 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.27/49.50 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 49.27/49.50 congruence. % 49.27/49.50 exact (zenon_H55 zenon_H54). % 49.27/49.50 apply zenon_H48. apply refl_equal. % 49.27/49.50 apply zenon_H2f. apply refl_equal. % 49.27/49.50 apply zenon_H2f. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L544_ *) % 49.27/49.50 assert (zenon_L545_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H154 zenon_H10e zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_Hde zenon_H57 zenon_H11d zenon_H12b zenon_He6 zenon_H126 zenon_H122 zenon_H20 zenon_H64 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H94 zenon_H58. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L544_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_L79_); trivial. % 49.27/49.50 apply (zenon_L42_); trivial. % 49.27/49.50 (* end of lemma zenon_L545_ *) % 49.27/49.50 assert (zenon_L546_ : (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H58 zenon_H40 zenon_H23 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H4f zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_Hfd zenon_H18d zenon_H15a zenon_H151 zenon_Hd9 zenon_H185 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_Hae zenon_H353 zenon_Hea zenon_H18e zenon_H2d zenon_H190 zenon_H15f zenon_H161 zenon_H33 zenon_H113 zenon_H182 zenon_H13a zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H9e zenon_H99 zenon_H122 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H117 zenon_H7b zenon_H10e zenon_H154 zenon_H24 zenon_H1f zenon_H20 zenon_H146 zenon_H60 zenon_H8b zenon_He6. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.50 apply (zenon_L18_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.27/49.50 apply (zenon_L142_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.27/49.50 apply (zenon_L22_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L544_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.50 apply (zenon_L523_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.50 apply (zenon_L68_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.50 apply (zenon_L57_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.50 apply (zenon_L72_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.50 apply (zenon_L67_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ]. % 49.27/49.50 apply (zenon_L84_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ]. % 49.27/49.50 apply (zenon_L80_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ]. % 49.27/49.50 apply (zenon_L545_); trivial. % 49.27/49.50 apply (zenon_L93_); trivial. % 49.27/49.50 apply (zenon_L42_); trivial. % 49.27/49.50 apply (zenon_L80_); trivial. % 49.27/49.50 (* end of lemma zenon_L546_ *) % 49.27/49.50 assert (zenon_L547_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H154 zenon_H111 zenon_H10e zenon_H7b zenon_H92 zenon_H13a zenon_H135 zenon_H3a zenon_H20 zenon_H57 zenon_H11d zenon_He6 zenon_H12b zenon_He7 zenon_H6c zenon_H1f zenon_H24 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H13f zenon_H11e zenon_H117 zenon_H9a zenon_H99 zenon_H58 zenon_H155 zenon_H18b zenon_H2d. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L544_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.50 apply (zenon_L17_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.50 apply (zenon_L68_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.50 apply (zenon_L88_); trivial. % 49.27/49.50 apply (zenon_L532_); trivial. % 49.27/49.50 apply (zenon_L504_); trivial. % 49.27/49.50 (* end of lemma zenon_L547_ *) % 49.27/49.50 assert (zenon_L548_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hd6 zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_H7b zenon_H10e zenon_H154 zenon_H11b zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.50 apply (zenon_L547_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.50 apply (zenon_L92_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.50 apply (zenon_L533_); trivial. % 49.27/49.50 apply (zenon_L534_); trivial. % 49.27/49.50 (* end of lemma zenon_L548_ *) % 49.27/49.50 assert (zenon_L549_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hd6 zenon_H155 zenon_H58 zenon_H99 zenon_H9a zenon_H11e zenon_H13f zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_H7b zenon_H10e zenon_H154 zenon_H142 zenon_H111 zenon_H117 zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_He6 zenon_H12b zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H57 zenon_H11d. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.50 apply (zenon_L17_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.50 apply (zenon_L68_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.50 apply (zenon_L88_); trivial. % 49.27/49.50 apply (zenon_L548_); trivial. % 49.27/49.50 (* end of lemma zenon_L549_ *) % 49.27/49.50 assert (zenon_L550_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H371 zenon_H4a zenon_H96 zenon_He6 zenon_H113 zenon_H3a zenon_H24 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H2d zenon_H18e zenon_Hea zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H9e zenon_H4f zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H182 zenon_H11d zenon_H11e zenon_H13f zenon_H36b zenon_H368 zenon_H7b zenon_H154 zenon_H142 zenon_H10b zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H19 zenon_H18 zenon_H160 zenon_H15e zenon_H20 zenon_H1f zenon_H122. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.27/49.50 apply (zenon_L13_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.27/49.50 apply (zenon_L18_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.27/49.50 apply (zenon_L543_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.50 apply (zenon_L544_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_L546_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L62_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_L546_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L544_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.50 apply (zenon_L17_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.50 apply (zenon_L488_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.50 apply (zenon_L88_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.50 apply (zenon_L491_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.50 apply (zenon_L549_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.50 apply (zenon_L57_); trivial. % 49.27/49.50 apply (zenon_L533_); trivial. % 49.27/49.50 apply (zenon_L504_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_L46_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.27/49.50 apply (zenon_L523_); trivial. % 49.27/49.50 apply (zenon_L108_); trivial. % 49.27/49.50 apply (zenon_L70_); trivial. % 49.27/49.50 (* end of lemma zenon_L550_ *) % 49.27/49.50 assert (zenon_L551_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e10) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H1f zenon_H18 zenon_H374. % 49.27/49.50 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ]. % 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e12) (e12)) = (op1 (e10) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H374. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H27. % 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H375]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e10) (e10)) = (op1 (e12) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H375. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H1f. % 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.27/49.50 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ]. % 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e10) = (op1 (e10) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H1d. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H27. % 49.27/49.50 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 49.27/49.50 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 49.27/49.50 congruence. % 49.27/49.50 exact (zenon_H376 zenon_H18). % 49.27/49.50 apply zenon_H28. apply refl_equal. % 49.27/49.50 apply zenon_H28. apply refl_equal. % 49.27/49.50 apply zenon_H45. apply refl_equal. % 49.27/49.50 apply zenon_H28. apply refl_equal. % 49.27/49.50 apply zenon_H28. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L551_ *) % 49.27/49.50 assert (zenon_L552_ : ((op1 (e13) (e10)) = (e10)) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H91 zenon_H1f zenon_H18 zenon_H377. % 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H377. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H3b. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H378]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H378. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H1f. % 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H374]. % 49.27/49.50 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H379]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H379. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H3b. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 49.27/49.50 congruence. % 49.27/49.50 exact (zenon_H37a zenon_H91). % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply (zenon_L551_); trivial. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L552_ *) % 49.27/49.50 assert (zenon_L553_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H92 zenon_H73 zenon_H3a. % 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H3a. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H3b. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H3d. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H92. % 49.27/49.50 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 congruence. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H74. apply sym_equal. exact zenon_H73. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L553_ *) % 49.27/49.50 assert (zenon_L554_ : (((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)) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H76 zenon_H60 zenon_He4 zenon_H63 zenon_Hab zenon_H96. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.50 apply (zenon_L553_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.50 apply (zenon_L24_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.50 apply (zenon_L490_); trivial. % 49.27/49.50 apply (zenon_L43_); trivial. % 49.27/49.50 (* end of lemma zenon_L554_ *) % 49.27/49.50 assert (zenon_L555_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H96 zenon_Hab zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.27/49.50 apply (zenon_L552_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.27/49.50 apply (zenon_L70_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L554_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 (* end of lemma zenon_L555_ *) % 49.27/49.50 assert (zenon_L556_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H37b zenon_H19 zenon_H17 zenon_H4a zenon_H73 zenon_H23 zenon_H24 zenon_H1f zenon_H20. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H18 | zenon_intro zenon_H37c ]. % 49.27/49.50 apply (zenon_L2_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H4b | zenon_intro zenon_H37d ]. % 49.27/49.50 apply (zenon_L13_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H72 | zenon_intro zenon_H25 ]. % 49.27/49.50 apply (zenon_L23_); trivial. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 (* end of lemma zenon_L556_ *) % 49.27/49.50 assert (zenon_L557_ : ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H1f zenon_H37e zenon_H37f. % 49.27/49.50 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H37f. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Hd1. % 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H380]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((e10) = (op1 (e12) (e12))) = ((op1 (e12) (e13)) = (op1 (e12) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H380. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H1f. % 49.27/49.50 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 49.27/49.50 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H381]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H381. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Hd1. % 49.27/49.50 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 49.27/49.50 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H382]. % 49.27/49.50 congruence. % 49.27/49.50 exact (zenon_H382 zenon_H37e). % 49.27/49.50 apply zenon_Hd2. apply refl_equal. % 49.27/49.50 apply zenon_Hd2. apply refl_equal. % 49.27/49.50 apply zenon_H45. apply refl_equal. % 49.27/49.50 apply zenon_Hd2. apply refl_equal. % 49.27/49.50 apply zenon_Hd2. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L557_ *) % 49.27/49.50 assert (zenon_L558_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hfa zenon_H110 zenon_H369. % 49.27/49.50 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_Hfa. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H110. % 49.27/49.50 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a]. % 49.27/49.50 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.27/49.50 congruence. % 49.27/49.50 apply zenon_H8f. apply refl_equal. % 49.27/49.50 apply zenon_H36a. apply sym_equal. exact zenon_H369. % 49.27/49.50 (* end of lemma zenon_L558_ *) % 49.27/49.50 assert (zenon_L559_ : (~((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H383 zenon_H2c zenon_H20 zenon_H1f zenon_Hfb. % 49.27/49.50 cut (((op1 (e11) (e10)) = (e13)) = ((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H383. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H2c. % 49.27/49.50 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 49.27/49.50 cut (((op1 (e11) (e10)) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H384]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [ zenon_intro zenon_H385 | zenon_intro zenon_H386 ]. % 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e11) (e10)) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H384. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H385. % 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H386]. % 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 49.27/49.50 congruence. % 49.27/49.50 apply (zenon_L3_); trivial. % 49.27/49.50 apply zenon_H386. apply refl_equal. % 49.27/49.50 apply zenon_H386. apply refl_equal. % 49.27/49.50 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb. % 49.27/49.50 (* end of lemma zenon_L559_ *) % 49.27/49.50 assert (zenon_L560_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H12c zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H37e | zenon_intro zenon_H388 ]. % 49.27/49.50 apply (zenon_L557_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_He9 | zenon_intro zenon_H389 ]. % 49.27/49.50 apply (zenon_L48_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H369 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L558_); trivial. % 49.27/49.50 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_Hc7. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Ha5. % 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38a]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H38a. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H24. % 49.27/49.50 cut (((op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H383]. % 49.27/49.50 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha6 ]. % 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e13) = (op1 (e13) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H12d. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Ha5. % 49.27/49.50 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 49.27/49.50 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 49.27/49.50 congruence. % 49.27/49.50 exact (zenon_H15c zenon_H12c). % 49.27/49.50 apply zenon_Ha6. apply refl_equal. % 49.27/49.50 apply zenon_Ha6. apply refl_equal. % 49.27/49.50 apply (zenon_L559_); trivial. % 49.27/49.50 apply zenon_Ha6. apply refl_equal. % 49.27/49.50 apply zenon_Ha6. apply refl_equal. % 49.27/49.50 (* end of lemma zenon_L560_ *) % 49.27/49.50 assert (zenon_L561_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.50 apply (zenon_L504_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.50 apply (zenon_L67_); trivial. % 49.27/49.50 apply (zenon_L560_); trivial. % 49.27/49.50 (* end of lemma zenon_L561_ *) % 49.27/49.50 assert (zenon_L562_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H11d zenon_H57 zenon_H110 zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H180 zenon_H35a zenon_Hdc. % 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.50 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.27/49.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 49.27/49.50 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H11d. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H104. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((op1 (e13) (op1 (e10) (e13))) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H12f. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Ha3. % 49.27/49.50 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 49.27/49.50 cut (((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H38b]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H104 | zenon_intro zenon_H105 ]. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e10) (e13))) = (op1 (e13) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H38b. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H104. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 49.27/49.50 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38c]. % 49.27/49.50 congruence. % 49.27/49.50 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38d]. % 49.27/49.50 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 49.27/49.50 congruence. % 49.27/49.50 apply zenon_H2f. apply refl_equal. % 49.27/49.50 apply zenon_H38d. apply sym_equal. exact zenon_H110. % 49.27/49.50 apply zenon_H105. apply refl_equal. % 49.27/49.50 apply zenon_H105. apply refl_equal. % 49.27/49.50 apply zenon_H103. apply sym_equal. exact zenon_H57. % 49.27/49.50 apply zenon_H105. apply refl_equal. % 49.27/49.50 apply zenon_H105. apply refl_equal. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.50 apply (zenon_L477_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.50 apply (zenon_L94_); trivial. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hca. zenon_intro zenon_Hc9. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hcc. zenon_intro zenon_Hcb. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hce. zenon_intro zenon_Hcd. % 49.27/49.50 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H180. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Hcd. % 49.27/49.50 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 49.27/49.50 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H35c]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H35c. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H3b. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H359]. % 49.27/49.50 congruence. % 49.27/49.50 apply (zenon_L482_); trivial. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H181. apply sym_equal. exact zenon_Hdc. % 49.27/49.50 (* end of lemma zenon_L562_ *) % 49.27/49.50 assert (zenon_L563_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H35a zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.50 apply (zenon_L63_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.50 apply (zenon_L93_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.50 apply (zenon_L562_); trivial. % 49.27/49.50 apply (zenon_L560_); trivial. % 49.27/49.50 (* end of lemma zenon_L563_ *) % 49.27/49.50 assert (zenon_L564_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H35a zenon_H146 zenon_H111 zenon_H151 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.50 apply (zenon_L563_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.50 apply (zenon_L67_); trivial. % 49.27/49.50 apply (zenon_L560_); trivial. % 49.27/49.50 (* end of lemma zenon_L564_ *) % 49.27/49.50 assert (zenon_L565_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H135 zenon_H3a zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.50 apply (zenon_L552_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.50 apply (zenon_L561_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.50 apply (zenon_L65_); trivial. % 49.27/49.50 apply (zenon_L564_); trivial. % 49.27/49.50 (* end of lemma zenon_L565_ *) % 49.27/49.50 assert (zenon_L566_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H40 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H377 zenon_H18 zenon_H117 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L556_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_L565_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_L561_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 (* end of lemma zenon_L566_ *) % 49.27/49.50 assert (zenon_L567_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((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 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (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 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H113 zenon_H58 zenon_H4e zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H117 zenon_H18 zenon_H377 zenon_H35d zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H40 zenon_H110 zenon_H111. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.50 apply (zenon_L113_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_L566_); trivial. % 49.27/49.50 apply (zenon_L63_); trivial. % 49.27/49.50 (* end of lemma zenon_L567_ *) % 49.27/49.50 assert (zenon_L568_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H185 zenon_Hde zenon_H369. % 49.27/49.50 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H185. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Hde. % 49.27/49.50 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a]. % 49.27/49.50 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 49.27/49.50 congruence. % 49.27/49.50 apply zenon_H148. apply refl_equal. % 49.27/49.50 apply zenon_H36a. apply sym_equal. exact zenon_H369. % 49.27/49.50 (* end of lemma zenon_L568_ *) % 49.27/49.50 assert (zenon_L569_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa zenon_H8c. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H37e | zenon_intro zenon_H388 ]. % 49.27/49.50 apply (zenon_L557_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_He9 | zenon_intro zenon_H389 ]. % 49.27/49.50 apply (zenon_L48_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H369 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L568_); trivial. % 49.27/49.50 apply (zenon_L54_); trivial. % 49.27/49.50 (* end of lemma zenon_L569_ *) % 49.27/49.50 assert (zenon_L570_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf. % 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.50 apply (zenon_L33_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 49.27/49.50 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 49.27/49.50 cut (((op1 (e13) (op1 (e11) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H18e. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_Hb4. % 49.27/49.50 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 49.27/49.50 cut (((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 49.27/49.50 congruence. % 49.27/49.50 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e11) (e13))) = (op1 (e13) (e10)))). % 49.27/49.50 intro zenon_D_pnotp. % 49.27/49.50 apply zenon_H13b. % 49.27/49.50 rewrite <- zenon_D_pnotp. % 49.27/49.50 exact zenon_H3b. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.50 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 49.27/49.50 congruence. % 49.27/49.50 apply (zenon_L82_); trivial. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_H3c. apply refl_equal. % 49.27/49.50 apply zenon_Hb6. apply sym_equal. exact zenon_Haf. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.50 apply (zenon_L37_); trivial. % 49.27/49.50 apply (zenon_L50_); trivial. % 49.27/49.50 (* end of lemma zenon_L570_ *) % 49.27/49.50 assert (zenon_L571_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_Hc8 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.27/49.50 apply (zenon_L552_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.27/49.50 apply (zenon_L70_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L507_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 (* end of lemma zenon_L571_ *) % 49.27/49.50 assert (zenon_L572_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H36b zenon_H111 zenon_H40 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H4e zenon_H58 zenon_H113 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H96 zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_Hae zenon_Hf3 zenon_Haf zenon_H182 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.50 apply (zenon_L567_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.50 apply (zenon_L569_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_He7 | zenon_intro zenon_H183 ]. % 49.27/49.50 apply (zenon_L570_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hab | zenon_intro zenon_H184 ]. % 49.27/49.50 apply (zenon_L555_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hde | zenon_intro zenon_H145 ]. % 49.27/49.50 apply (zenon_L568_); trivial. % 49.27/49.50 apply (zenon_L93_); trivial. % 49.27/49.50 apply (zenon_L571_); trivial. % 49.27/49.50 (* end of lemma zenon_L572_ *) % 49.27/49.50 assert (zenon_L573_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((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 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hfd zenon_H3a zenon_H1f zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H182 zenon_Hae zenon_H6c zenon_H18e zenon_H9e zenon_H160 zenon_H76 zenon_H60 zenon_He4 zenon_H63 zenon_H96 zenon_H185 zenon_H146 zenon_H387 zenon_H37f zenon_Hea zenon_H113 zenon_H58 zenon_H4e zenon_H33 zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H180 zenon_H353 zenon_H117 zenon_H35d zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H40 zenon_H111 zenon_H36b zenon_H108 zenon_He0 zenon_H99 zenon_H82 zenon_Hdc zenon_H126 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.50 apply (zenon_L70_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.50 apply (zenon_L42_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.50 apply (zenon_L491_); trivial. % 49.27/49.50 apply (zenon_L572_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_L54_); trivial. % 49.27/49.50 (* end of lemma zenon_L573_ *) % 49.27/49.50 assert (zenon_L574_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H1f zenon_H54 zenon_H18d zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.50 apply (zenon_L144_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_L54_); trivial. % 49.27/49.50 (* end of lemma zenon_L574_ *) % 49.27/49.50 assert (zenon_L575_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((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)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H113 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H2d zenon_H15f zenon_H190 zenon_H23 zenon_H73 zenon_H4a zenon_H19 zenon_H37b zenon_H18e zenon_Hea zenon_H353 zenon_Hae zenon_H117 zenon_Hd6 zenon_H76 zenon_H13a zenon_H12b zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H135 zenon_H146 zenon_H8b zenon_H151 zenon_H15a zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_H108 zenon_He0 zenon_H99 zenon_H63 zenon_H82 zenon_H40 zenon_H111 zenon_He4 zenon_He6 zenon_H58. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_L521_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L556_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_L522_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_L492_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_L46_); trivial. % 49.27/49.50 (* end of lemma zenon_L575_ *) % 49.27/49.50 assert (zenon_L576_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.50 apply (zenon_L70_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.50 apply (zenon_L481_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.50 apply (zenon_L491_); trivial. % 49.27/49.50 apply (zenon_L570_); trivial. % 49.27/49.50 (* end of lemma zenon_L576_ *) % 49.27/49.50 assert (zenon_L577_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_L576_); trivial. % 49.27/49.50 (* end of lemma zenon_L577_ *) % 49.27/49.50 assert (zenon_L578_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H18b zenon_H2d. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L574_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_L577_); trivial. % 49.27/49.50 apply (zenon_L504_); trivial. % 49.27/49.50 (* end of lemma zenon_L578_ *) % 49.27/49.50 assert (zenon_L579_ : ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H2c zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H11e zenon_H371 zenon_H36b zenon_H40 zenon_Hc7 zenon_H11d zenon_H135 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H4e zenon_H58 zenon_H113 zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H96 zenon_H76 zenon_H160 zenon_H182 zenon_H365 zenon_H377 zenon_H18 zenon_H13a zenon_H3a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_H15f zenon_H161 zenon_H187 zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H2d. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L113_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.27/49.50 apply (zenon_L550_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.27/49.50 apply (zenon_L555_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.27/49.50 apply (zenon_L48_); trivial. % 49.27/49.50 apply (zenon_L572_); trivial. % 49.27/49.50 apply (zenon_L573_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L14_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.50 apply (zenon_L574_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.50 apply (zenon_L25_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.27/49.50 apply (zenon_L575_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.27/49.50 apply (zenon_L555_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.27/49.50 apply (zenon_L48_); trivial. % 49.27/49.50 apply (zenon_L570_); trivial. % 49.27/49.50 apply (zenon_L573_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_L578_); trivial. % 49.27/49.50 (* end of lemma zenon_L579_ *) % 49.27/49.50 assert (zenon_L580_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H99 zenon_H64 zenon_H117 zenon_H11e zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.27/49.50 apply (zenon_L68_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.27/49.50 apply (zenon_L26_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_L52_); trivial. % 49.27/49.50 (* end of lemma zenon_L580_ *) % 49.27/49.50 assert (zenon_L581_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H15f zenon_H76 zenon_Hfd zenon_H33 zenon_Hae zenon_H1f zenon_H6c zenon_He0 zenon_H9e zenon_Hea zenon_H58 zenon_Hf7 zenon_H82 zenon_H11e zenon_H117 zenon_H99 zenon_H11d zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c zenon_H60 zenon_H23 zenon_H72 zenon_H160 zenon_He7 zenon_H4f. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.50 apply (zenon_L18_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.50 apply (zenon_L19_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.50 apply (zenon_L23_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.50 apply (zenon_L24_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.50 apply (zenon_L580_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.50 apply (zenon_L28_); trivial. % 49.27/49.50 apply (zenon_L54_); trivial. % 49.27/49.50 apply (zenon_L505_); trivial. % 49.27/49.50 apply (zenon_L47_); trivial. % 49.27/49.50 (* end of lemma zenon_L581_ *) % 49.27/49.50 assert (zenon_L582_ : (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.50 do 0 intro. intros zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H15f zenon_H76 zenon_Hea zenon_H58 zenon_Hf7 zenon_H11e zenon_H117 zenon_H11d zenon_H23 zenon_H72 zenon_H160 zenon_H16a zenon_H19 zenon_H43 zenon_H16b zenon_H4a zenon_H16c zenon_H67 zenon_H15e zenon_H40 zenon_H155 zenon_H10b zenon_H13f zenon_H135 zenon_H142 zenon_H13a zenon_H12b zenon_H15a zenon_H146 zenon_H151 zenon_Hc7 zenon_Hd6 zenon_H161 zenon_H113 zenon_H96 zenon_H190 zenon_H362 zenon_H360 zenon_H18 zenon_H377 zenon_H365 zenon_H182 zenon_H4e zenon_H37b zenon_H180 zenon_H353 zenon_H35d zenon_H36b zenon_H371 zenon_H368 zenon_H173 zenon_H36e zenon_H387 zenon_H37f zenon_H185 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.27/49.50 apply (zenon_L113_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_L69_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.27/49.50 apply (zenon_L4_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.27/49.50 apply (zenon_L6_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.50 apply (zenon_L579_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.50 apply (zenon_L24_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.50 apply (zenon_L490_); trivial. % 49.27/49.50 apply (zenon_L569_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.27/49.50 apply (zenon_L44_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.50 apply (zenon_L110_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.50 apply (zenon_L581_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.50 apply (zenon_L140_); trivial. % 49.27/49.50 apply (zenon_L578_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.27/49.50 apply (zenon_L7_); trivial. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 (* end of lemma zenon_L582_ *) % 49.27/49.50 assert (zenon_L583_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H9e zenon_H8c zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.50 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.50 apply (zenon_L33_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.50 apply (zenon_L83_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.50 apply (zenon_L37_); trivial. % 49.27/49.50 apply (zenon_L76_); trivial. % 49.27/49.50 (* end of lemma zenon_L583_ *) % 49.27/49.50 assert (zenon_L584_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.27/49.50 apply (zenon_L120_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.27/49.50 apply (zenon_L84_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.27/49.50 apply (zenon_L560_); trivial. % 49.27/49.50 apply (zenon_L583_); trivial. % 49.27/49.50 (* end of lemma zenon_L584_ *) % 49.27/49.50 assert (zenon_L585_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.27/49.50 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.50 apply (zenon_L8_); trivial. % 49.27/49.50 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.51 apply (zenon_L67_); trivial. % 49.27/49.51 apply (zenon_L584_); trivial. % 49.27/49.51 (* end of lemma zenon_L585_ *) % 49.27/49.51 assert (zenon_L586_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H10b zenon_H111 zenon_H99 zenon_H64 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.51 apply (zenon_L69_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.51 apply (zenon_L68_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.51 apply (zenon_L57_); trivial. % 49.27/49.51 apply (zenon_L585_); trivial. % 49.27/49.51 (* end of lemma zenon_L586_ *) % 49.27/49.51 assert (zenon_L587_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H9e zenon_H177 zenon_H35a. % 49.27/49.51 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 49.27/49.51 intro zenon_D_pnotp. % 49.27/49.51 apply zenon_H9e. % 49.27/49.51 rewrite <- zenon_D_pnotp. % 49.27/49.51 exact zenon_H177. % 49.27/49.51 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35b]. % 49.27/49.51 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.27/49.51 congruence. % 49.27/49.51 apply zenon_H8f. apply refl_equal. % 49.27/49.51 apply zenon_H35b. apply sym_equal. exact zenon_H35a. % 49.27/49.51 (* end of lemma zenon_L587_ *) % 49.27/49.51 assert (zenon_L588_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H38e zenon_Hf3 zenon_H9e zenon_Hdc zenon_H35a zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.27/49.51 apply (zenon_L587_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.27/49.51 apply (zenon_L71_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.27/49.51 apply (zenon_L562_); trivial. % 49.27/49.51 apply (zenon_L54_); trivial. % 49.27/49.51 (* end of lemma zenon_L588_ *) % 49.27/49.51 assert (zenon_L589_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L65_); trivial. % 49.27/49.51 apply (zenon_L563_); trivial. % 49.27/49.51 (* end of lemma zenon_L589_ *) % 49.27/49.51 assert (zenon_L590_ : ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e10) (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 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H35a zenon_H38e zenon_H9b zenon_Hbe zenon_H6c zenon_H13a zenon_Hf3 zenon_H9e zenon_Hc7 zenon_H2c zenon_H24 zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_Hdc zenon_H146 zenon_H111 zenon_H151 zenon_H117 zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.51 apply (zenon_L569_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.51 apply (zenon_L93_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.51 apply (zenon_L588_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.27/49.51 apply (zenon_L135_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.27/49.51 apply (zenon_L71_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.27/49.51 apply (zenon_L589_); trivial. % 49.27/49.51 apply (zenon_L569_); trivial. % 49.27/49.51 (* end of lemma zenon_L590_ *) % 49.27/49.51 assert (zenon_L591_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (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)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_Hf3 zenon_H35a zenon_H38e zenon_H13a zenon_H9b zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.51 apply (zenon_L8_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.51 apply (zenon_L590_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.51 apply (zenon_L67_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.27/49.51 apply (zenon_L135_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.27/49.51 apply (zenon_L77_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.27/49.51 apply (zenon_L560_); trivial. % 49.27/49.51 apply (zenon_L569_); trivial. % 49.27/49.51 (* end of lemma zenon_L591_ *) % 49.27/49.51 assert (zenon_L592_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (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)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_Hf7 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H8b zenon_Hd9 zenon_H362 zenon_Hae zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H36b zenon_H142 zenon_H7b zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H96 zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_H35a zenon_H38e zenon_H13a zenon_H9b zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.27/49.51 apply (zenon_L542_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.27/49.51 apply (zenon_L43_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.27/49.51 apply (zenon_L48_); trivial. % 49.27/49.51 apply (zenon_L591_); trivial. % 49.27/49.51 (* end of lemma zenon_L592_ *) % 49.27/49.51 assert (zenon_L593_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (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)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H36e zenon_H173 zenon_H371 zenon_H37b zenon_H4e zenon_H182 zenon_H365 zenon_H15e zenon_H67 zenon_H4a zenon_H16b zenon_H43 zenon_H16a zenon_H64 zenon_H178 zenon_H391 zenon_Hf7 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H8b zenon_Hd9 zenon_H362 zenon_Hae zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H58 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H36b zenon_H142 zenon_H7b zenon_H4f zenon_H122 zenon_H126 zenon_H360 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H96 zenon_H135 zenon_H3a zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H151 zenon_H111 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H9e zenon_H38e zenon_H13a zenon_H117 zenon_Hbe zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_Hc7 zenon_H2c zenon_H24 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_Hde zenon_H185 zenon_Hfa. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.27/49.51 apply (zenon_L582_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.27/49.51 apply (zenon_L68_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.27/49.51 apply (zenon_L57_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.27/49.51 apply (zenon_L112_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.27/49.51 apply (zenon_L586_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L557_); trivial. % 49.27/49.51 apply (zenon_L592_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L65_); trivial. % 49.27/49.51 apply (zenon_L592_); trivial. % 49.27/49.51 (* end of lemma zenon_L593_ *) % 49.27/49.51 assert (zenon_L594_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H35a zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.51 apply (zenon_L70_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.51 apply (zenon_L42_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.51 apply (zenon_L66_); trivial. % 49.27/49.51 apply (zenon_L588_); trivial. % 49.27/49.51 (* end of lemma zenon_L594_ *) % 49.27/49.51 assert (zenon_L595_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H151 zenon_H185 zenon_Hde zenon_H37f zenon_H387 zenon_H146 zenon_Hfa zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_Hea zenon_H1f zenon_H180 zenon_Hdc zenon_H9e zenon_H38e zenon_H99 zenon_H64 zenon_H58 zenon_H122 zenon_H126 zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L65_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.27/49.51 apply (zenon_L569_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.27/49.51 apply (zenon_L93_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.27/49.51 apply (zenon_L594_); trivial. % 49.27/49.51 apply (zenon_L104_); trivial. % 49.27/49.51 (* end of lemma zenon_L595_ *) % 49.27/49.51 assert (zenon_L596_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa zenon_Hfb. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L65_); trivial. % 49.27/49.51 apply (zenon_L594_); trivial. % 49.27/49.51 (* end of lemma zenon_L596_ *) % 49.27/49.51 assert (zenon_L597_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_Hfd zenon_H111 zenon_H2c zenon_Hc7 zenon_H13a zenon_H6c zenon_H9b zenon_H15a zenon_H146 zenon_H387 zenon_H37f zenon_Hde zenon_H185 zenon_H151 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H126 zenon_H122 zenon_H20 zenon_H58 zenon_H64 zenon_H99 zenon_H38e zenon_H9e zenon_Hdc zenon_H180 zenon_H24 zenon_H1f zenon_Hea zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_Hfa. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.27/49.51 apply (zenon_L7_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.27/49.51 apply (zenon_L65_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.27/49.51 apply (zenon_L70_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.27/49.51 apply (zenon_L42_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.27/49.51 apply (zenon_L66_); trivial. % 49.27/49.51 apply (zenon_L590_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.27/49.51 apply (zenon_L595_); trivial. % 49.27/49.51 apply (zenon_L596_); trivial. % 49.27/49.51 (* end of lemma zenon_L597_ *) % 49.27/49.51 assert (zenon_L598_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H15f zenon_H20 zenon_H33 zenon_H76 zenon_H11e zenon_H117 zenon_H1f zenon_H99 zenon_H11d zenon_H57 zenon_H60 zenon_H92 zenon_H3a zenon_H160 zenon_He7 zenon_H4f. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.27/49.51 apply (zenon_L18_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.27/49.51 apply (zenon_L19_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.27/49.51 apply (zenon_L553_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.27/49.51 apply (zenon_L24_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.27/49.51 apply (zenon_L68_); trivial. % 49.27/49.51 apply (zenon_L505_); trivial. % 49.27/49.51 apply (zenon_L47_); trivial. % 49.27/49.51 (* end of lemma zenon_L598_ *) % 49.27/49.51 assert (zenon_L599_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H190 zenon_H4e zenon_H4f zenon_He7 zenon_H160 zenon_H92 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H33 zenon_H15f zenon_H187 zenon_H135 zenon_H3a zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.27/49.51 apply (zenon_L14_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.27/49.51 apply (zenon_L598_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.27/49.51 apply (zenon_L140_); trivial. % 49.27/49.51 apply (zenon_L561_); trivial. % 49.27/49.51 (* end of lemma zenon_L599_ *) % 49.27/49.51 assert (zenon_L600_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H9e zenon_H8c zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.51 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.27/49.51 apply (zenon_L33_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.27/49.51 apply (zenon_L83_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.27/49.51 apply (zenon_L37_); trivial. % 49.27/49.51 apply (zenon_L509_); trivial. % 49.27/49.51 (* end of lemma zenon_L600_ *) % 49.27/49.51 assert (zenon_L601_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H38e zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H15f zenon_H16c zenon_H67 zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H12c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.27/49.51 apply (zenon_L153_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.27/49.51 apply (zenon_L530_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.27/49.51 apply (zenon_L560_); trivial. % 49.27/49.51 apply (zenon_L600_); trivial. % 49.27/49.51 (* end of lemma zenon_L601_ *) % 49.27/49.51 assert (zenon_L602_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H18b zenon_H57 zenon_H38e zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H15f zenon_H16c zenon_H67 zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.27/49.51 apply (zenon_L8_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.27/49.51 apply (zenon_L67_); trivial. % 49.27/49.51 apply (zenon_L601_); trivial. % 49.27/49.51 (* end of lemma zenon_L602_ *) % 49.27/49.51 assert (zenon_L603_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> False). % 49.27/49.51 do 0 intro. intros zenon_H180 zenon_H92 zenon_H95. % 49.27/49.51 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 49.27/49.51 intro zenon_D_pnotp. % 49.27/49.51 apply zenon_H180. % 49.27/49.51 rewrite <- zenon_D_pnotp. % 49.27/49.51 exact zenon_H92. % 49.27/49.51 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 49.27/49.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 49.27/49.51 congruence. % 49.27/49.51 apply zenon_H3c. apply refl_equal. % 49.27/49.51 apply zenon_H143. apply sym_equal. exact zenon_H95. % 49.27/49.51 (* end of lemma zenon_L603_ *) % 49.27/49.51 assert (zenon_L604_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H95 zenon_H180 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.27/49.51 apply (zenon_L552_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.27/49.51 apply (zenon_L70_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.27/49.51 apply (zenon_L603_); trivial. % 49.27/49.51 apply (zenon_L8_); trivial. % 49.27/49.51 (* end of lemma zenon_L604_ *) % 49.27/49.51 assert (zenon_L605_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.27/49.51 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H18b zenon_H2d. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.27/49.51 apply (zenon_L113_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.27/49.51 apply (zenon_L25_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.27/49.51 apply (zenon_L17_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.27/49.51 apply (zenon_L586_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.27/49.51 apply (zenon_L88_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.27/49.51 apply (zenon_L599_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.27/49.51 apply (zenon_L505_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.27/49.51 apply (zenon_L602_); trivial. % 49.27/49.51 apply (zenon_L571_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.27/49.51 apply (zenon_L604_); trivial. % 49.27/49.51 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.27/49.51 apply (zenon_L585_); trivial. % 49.27/49.51 apply (zenon_L508_); trivial. % 49.27/49.51 apply (zenon_L504_); trivial. % 49.27/49.51 (* end of lemma zenon_L605_ *) % 49.27/49.51 assert (zenon_L606_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H113 zenon_H58 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_He0 zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H92 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H23 zenon_H40 zenon_H110 zenon_H111. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.52 apply (zenon_L4_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.52 apply (zenon_L113_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.52 apply (zenon_L4_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.52 apply (zenon_L6_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.52 apply (zenon_L29_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.52 apply (zenon_L561_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L65_); trivial. % 49.38/49.52 apply (zenon_L564_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.52 apply (zenon_L44_); trivial. % 49.38/49.52 apply (zenon_L599_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.52 apply (zenon_L7_); trivial. % 49.38/49.52 apply (zenon_L8_); trivial. % 49.38/49.52 apply (zenon_L63_); trivial. % 49.38/49.52 (* end of lemma zenon_L606_ *) % 49.38/49.52 assert (zenon_L607_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H35d zenon_H76 zenon_H92 zenon_H2d zenon_H117 zenon_H151 zenon_H111 zenon_H146 zenon_Hdc zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.52 apply (zenon_L29_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.52 apply (zenon_L504_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L65_); trivial. % 49.38/49.52 apply (zenon_L563_); trivial. % 49.38/49.52 (* end of lemma zenon_L607_ *) % 49.38/49.52 assert (zenon_L608_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.38/49.52 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.38/49.52 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.38/49.52 apply (zenon_L33_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.38/49.52 apply (zenon_L49_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.38/49.52 apply (zenon_L37_); trivial. % 49.38/49.52 apply (zenon_L509_); trivial. % 49.38/49.52 (* end of lemma zenon_L608_ *) % 49.38/49.52 assert (zenon_L609_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> False). % 49.38/49.52 do 0 intro. intros zenon_H36b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_Hdc zenon_H146 zenon_H111 zenon_H151 zenon_H117 zenon_H2d zenon_H76 zenon_H35d zenon_H96 zenon_Hab zenon_H11b zenon_H368 zenon_H24 zenon_Hbe zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H13a zenon_H92. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.52 apply (zenon_L607_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.52 apply (zenon_L43_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_L608_); trivial. % 49.38/49.52 apply (zenon_L507_); trivial. % 49.38/49.52 (* end of lemma zenon_L609_ *) % 49.38/49.52 assert (zenon_L610_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False). % 49.38/49.52 do 0 intro. intros zenon_H38e zenon_H35a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_Hea zenon_H35d zenon_Hc7 zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H24 zenon_H1f zenon_H6c zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H20 zenon_H99 zenon_H9e zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_H369 zenon_Hfa zenon_Hfb. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.38/49.52 apply (zenon_L587_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.38/49.52 apply (zenon_L528_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.38/49.52 apply (zenon_L558_); trivial. % 49.38/49.52 apply (zenon_L54_); trivial. % 49.38/49.52 (* end of lemma zenon_L610_ *) % 49.38/49.52 assert (zenon_L611_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.38/49.52 do 0 intro. intros zenon_H38e zenon_H113 zenon_H180 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H13a zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H99 zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H20 zenon_H2c zenon_H12c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.38/49.52 apply (zenon_L153_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.38/49.52 apply (zenon_L528_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.38/49.52 apply (zenon_L560_); trivial. % 49.38/49.52 apply (zenon_L608_); trivial. % 49.38/49.52 (* end of lemma zenon_L611_ *) % 49.38/49.52 assert (zenon_L612_ : ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.38/49.52 do 0 intro. intros zenon_H92 zenon_Hab zenon_Hdc zenon_H36b zenon_H35a zenon_H38e zenon_H113 zenon_H180 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H13a zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H122 zenon_H99 zenon_H3a zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.38/49.52 apply (zenon_L609_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.38/49.52 apply (zenon_L93_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.38/49.52 apply (zenon_L610_); trivial. % 49.38/49.52 apply (zenon_L611_); trivial. % 49.38/49.52 (* end of lemma zenon_L612_ *) % 49.38/49.52 assert (zenon_L613_ : ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H35a zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.52 apply (zenon_L606_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.52 apply (zenon_L43_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.52 apply (zenon_L8_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.52 apply (zenon_L612_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.52 apply (zenon_L67_); trivial. % 49.38/49.52 apply (zenon_L611_); trivial. % 49.38/49.52 apply (zenon_L571_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.52 apply (zenon_L604_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_L31_); trivial. % 49.38/49.52 apply (zenon_L571_); trivial. % 49.38/49.52 (* end of lemma zenon_L613_ *) % 49.38/49.52 assert (zenon_L614_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H13f zenon_H391 zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.52 apply (zenon_L552_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.38/49.52 apply (zenon_L112_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.38/49.52 apply (zenon_L605_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L557_); trivial. % 49.38/49.52 apply (zenon_L613_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L65_); trivial. % 49.38/49.52 apply (zenon_L613_); trivial. % 49.38/49.52 (* end of lemma zenon_L614_ *) % 49.38/49.52 assert (zenon_L615_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H13f zenon_H391 zenon_H36b zenon_Hab zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H161 zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.52 apply (zenon_L17_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.52 apply (zenon_L68_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.52 apply (zenon_L88_); trivial. % 49.38/49.52 apply (zenon_L614_); trivial. % 49.38/49.52 (* end of lemma zenon_L615_ *) % 49.38/49.52 assert (zenon_L616_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (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) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H36b zenon_H40 zenon_H37f zenon_H387 zenon_H2d zenon_H187 zenon_H92 zenon_H4e zenon_H190 zenon_H180 zenon_H161 zenon_H113 zenon_Hab zenon_Hfb zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H111 zenon_H11e zenon_H63 zenon_H135 zenon_H9e zenon_H99 zenon_H126 zenon_H12b zenon_H11d zenon_H57 zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H15a zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H35a zenon_H38e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.52 apply (zenon_L606_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.52 apply (zenon_L43_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_L610_); trivial. % 49.38/49.52 apply (zenon_L571_); trivial. % 49.38/49.52 (* end of lemma zenon_L616_ *) % 49.38/49.52 assert (zenon_L617_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H135 zenon_H3a zenon_H1f zenon_H111 zenon_H95 zenon_H57 zenon_H11d zenon_H24 zenon_H89 zenon_H20 zenon_H15a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.52 apply (zenon_L8_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.52 apply (zenon_L89_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.52 apply (zenon_L67_); trivial. % 49.38/49.52 apply (zenon_L104_); trivial. % 49.38/49.52 (* end of lemma zenon_L617_ *) % 49.38/49.52 assert (zenon_L618_ : ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (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 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_Hdc zenon_H36b zenon_H40 zenon_H37f zenon_H387 zenon_H2d zenon_H187 zenon_H4e zenon_H190 zenon_H180 zenon_H161 zenon_H113 zenon_Hab zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H11e zenon_H63 zenon_H9e zenon_H126 zenon_H12b zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H38e zenon_H15a zenon_H89 zenon_H11d zenon_H57 zenon_H111 zenon_H135 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.52 apply (zenon_L552_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.52 apply (zenon_L504_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L65_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.38/49.52 apply (zenon_L28_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.38/49.52 apply (zenon_L93_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.38/49.52 apply (zenon_L616_); trivial. % 49.38/49.52 apply (zenon_L104_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.52 apply (zenon_L617_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_L31_); trivial. % 49.38/49.52 apply (zenon_L571_); trivial. % 49.38/49.52 (* end of lemma zenon_L618_ *) % 49.38/49.52 assert (zenon_L619_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (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) (e13)) = (op1 (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 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H3a zenon_H20 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H38e zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H6c zenon_H12b zenon_H126 zenon_H9e zenon_H135 zenon_H63 zenon_H11e zenon_H10b zenon_H58 zenon_H15f zenon_Hfa zenon_Hab zenon_H113 zenon_H161 zenon_H180 zenon_H190 zenon_H4e zenon_H187 zenon_H2d zenon_H387 zenon_H37f zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H99 zenon_Hc7 zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_H57 zenon_H11d. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.52 apply (zenon_L97_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.52 apply (zenon_L504_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.52 apply (zenon_L65_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.52 apply (zenon_L616_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.52 apply (zenon_L89_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.52 apply (zenon_L31_); trivial. % 49.38/49.52 apply (zenon_L96_); trivial. % 49.38/49.52 (* end of lemma zenon_L619_ *) % 49.38/49.52 assert (zenon_L620_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.38/49.52 do 0 intro. intros zenon_H15f zenon_H20 zenon_H33 zenon_H76 zenon_H11e zenon_H117 zenon_H1f zenon_H99 zenon_H11d zenon_H57 zenon_H60 zenon_H23 zenon_H72 zenon_H160 zenon_He7 zenon_H4f. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.52 apply (zenon_L18_); trivial. % 49.38/49.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.53 apply (zenon_L19_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.53 apply (zenon_L529_); trivial. % 49.38/49.53 apply (zenon_L47_); trivial. % 49.38/49.53 (* end of lemma zenon_L620_ *) % 49.38/49.53 assert (zenon_L621_ : ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e10) = (e13))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H72 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H2d. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.53 apply (zenon_L14_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.53 apply (zenon_L620_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.53 apply (zenon_L140_); trivial. % 49.38/49.53 apply (zenon_L605_); trivial. % 49.38/49.53 (* end of lemma zenon_L621_ *) % 49.38/49.53 assert (zenon_L622_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H73 zenon_H180 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.53 apply (zenon_L553_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.53 apply (zenon_L604_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.53 apply (zenon_L60_); trivial. % 49.38/49.53 apply (zenon_L571_); trivial. % 49.38/49.53 (* end of lemma zenon_L622_ *) % 49.38/49.53 assert (zenon_L623_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H18e zenon_H35a zenon_Haf. % 49.38/49.53 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.38/49.53 apply (zenon_L33_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.38/49.53 apply (zenon_L49_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.38/49.53 apply (zenon_L37_); trivial. % 49.38/49.53 apply (zenon_L483_); trivial. % 49.38/49.53 (* end of lemma zenon_L623_ *) % 49.38/49.53 assert (zenon_L624_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_H18e zenon_H24 zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H117 zenon_H4f zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_Hab zenon_Hae zenon_Hc7 zenon_H35d zenon_H94 zenon_H58. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L574_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.53 apply (zenon_L17_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.53 apply (zenon_L26_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.53 apply (zenon_L41_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.53 apply (zenon_L481_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.53 apply (zenon_L65_); trivial. % 49.38/49.53 apply (zenon_L623_); trivial. % 49.38/49.53 apply (zenon_L42_); trivial. % 49.38/49.53 (* end of lemma zenon_L624_ *) % 49.38/49.53 assert (zenon_L625_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((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)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H16c zenon_H67 zenon_H160 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H108 zenon_H63 zenon_H180 zenon_H60 zenon_H58 zenon_H35d zenon_Hc7 zenon_Hae zenon_H99 zenon_H76 zenon_Hd6 zenon_H8b zenon_H20 zenon_H82 zenon_H56 zenon_Hd9 zenon_H4f zenon_H117 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_H1f zenon_H24 zenon_H18e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_Hab zenon_H96. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.53 apply (zenon_L21_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.53 apply (zenon_L19_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.53 apply (zenon_L22_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.53 apply (zenon_L622_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.53 apply (zenon_L24_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.53 apply (zenon_L624_); trivial. % 49.38/49.53 apply (zenon_L43_); trivial. % 49.38/49.53 (* end of lemma zenon_L625_ *) % 49.38/49.53 assert (zenon_L626_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (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 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H161 zenon_H2d zenon_H2c zenon_H154 zenon_H18d zenon_H7b zenon_H18e zenon_H117 zenon_Hd6 zenon_H76 zenon_Hc7 zenon_H35d zenon_H180 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_H160 zenon_H67 zenon_H16c zenon_H15f zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.53 apply (zenon_L6_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.53 apply (zenon_L18_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.53 apply (zenon_L19_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.53 apply (zenon_L20_); trivial. % 49.38/49.53 apply (zenon_L625_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.53 apply (zenon_L44_); trivial. % 49.38/49.53 apply (zenon_L61_); trivial. % 49.38/49.53 (* end of lemma zenon_L626_ *) % 49.38/49.53 assert (zenon_L627_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.38/49.53 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hf3 zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.53 apply (zenon_L8_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.53 apply (zenon_L504_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.53 apply (zenon_L570_); trivial. % 49.38/49.53 apply (zenon_L584_); trivial. % 49.38/49.53 (* end of lemma zenon_L627_ *) % 49.38/49.53 assert (zenon_L628_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H10b zenon_H108 zenon_H111 zenon_He0 zenon_H58 zenon_Hf7 zenon_H11e zenon_H11d zenon_H82 zenon_H63 zenon_Hd9 zenon_H126 zenon_H122 zenon_H4f zenon_H64 zenon_H99 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.53 apply (zenon_L577_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.53 apply (zenon_L580_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.53 apply (zenon_L59_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.53 apply (zenon_L70_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.53 apply (zenon_L481_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.53 apply (zenon_L66_); trivial. % 49.38/49.53 apply (zenon_L627_); trivial. % 49.38/49.53 (* end of lemma zenon_L628_ *) % 49.38/49.53 assert (zenon_L629_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H36b zenon_H111 zenon_H40 zenon_H23 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H92 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_H35d zenon_H353 zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H58 zenon_H113 zenon_Hfa zenon_H185 zenon_Hea zenon_H37f zenon_H387 zenon_H11b zenon_H368 zenon_Hbe zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.53 apply (zenon_L606_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.53 apply (zenon_L569_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.53 apply (zenon_L608_); trivial. % 49.38/49.53 apply (zenon_L571_); trivial. % 49.38/49.53 (* end of lemma zenon_L629_ *) % 49.38/49.53 assert (zenon_L630_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.53 apply (zenon_L629_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.53 apply (zenon_L604_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.53 apply (zenon_L31_); trivial. % 49.38/49.53 apply (zenon_L571_); trivial. % 49.38/49.53 (* end of lemma zenon_L630_ *) % 49.38/49.53 assert (zenon_L631_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.38/49.53 apply (zenon_L543_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.38/49.53 apply (zenon_L47_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.38/49.53 apply (zenon_L48_); trivial. % 49.38/49.53 apply (zenon_L627_); trivial. % 49.38/49.53 (* end of lemma zenon_L631_ *) % 49.38/49.53 assert (zenon_L632_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H377 zenon_H4e zenon_H11b zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.53 apply (zenon_L491_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.53 apply (zenon_L630_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.53 apply (zenon_L59_); trivial. % 49.38/49.53 apply (zenon_L631_); trivial. % 49.38/49.53 (* end of lemma zenon_L632_ *) % 49.38/49.53 assert (zenon_L633_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.53 apply (zenon_L626_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.53 apply (zenon_L628_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.53 apply (zenon_L88_); trivial. % 49.38/49.53 apply (zenon_L632_); trivial. % 49.38/49.53 (* end of lemma zenon_L633_ *) % 49.38/49.53 assert (zenon_L634_ : ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H64 zenon_H37f zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_H3a zenon_H2d zenon_Hae zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H387 zenon_H13a zenon_H391 zenon_H117 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H18e. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.53 apply (zenon_L68_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.53 apply (zenon_L26_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.53 apply (zenon_L552_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.38/49.53 apply (zenon_L121_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.38/49.53 apply (zenon_L633_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.38/49.53 apply (zenon_L557_); trivial. % 49.38/49.53 apply (zenon_L623_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.53 apply (zenon_L65_); trivial. % 49.38/49.53 apply (zenon_L623_); trivial. % 49.38/49.53 (* end of lemma zenon_L634_ *) % 49.38/49.53 assert (zenon_L635_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hd6 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_Hc7 zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H180 zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hdc zenon_H126 zenon_H82 zenon_H64 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.53 apply (zenon_L68_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.53 apply (zenon_L26_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.53 apply (zenon_L70_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.53 apply (zenon_L42_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.53 apply (zenon_L630_); trivial. % 49.38/49.53 apply (zenon_L51_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_L54_); trivial. % 49.38/49.53 (* end of lemma zenon_L635_ *) % 49.38/49.53 assert (zenon_L636_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_H33 zenon_H1f zenon_H13f zenon_H13d zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.53 apply (zenon_L88_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_L54_); trivial. % 49.38/49.53 (* end of lemma zenon_L636_ *) % 49.38/49.53 assert (zenon_L637_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H3a zenon_H20 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.53 apply (zenon_L629_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.53 apply (zenon_L89_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.53 apply (zenon_L31_); trivial. % 49.38/49.53 apply (zenon_L39_); trivial. % 49.38/49.53 (* end of lemma zenon_L637_ *) % 49.38/49.53 assert (zenon_L638_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hae zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H9e zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_Hdc zenon_H99 zenon_Hab zenon_Hc7 zenon_H126 zenon_H82 zenon_H64 zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.53 apply (zenon_L68_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.53 apply (zenon_L26_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.53 apply (zenon_L70_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.53 apply (zenon_L42_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.53 apply (zenon_L637_); trivial. % 49.38/49.53 apply (zenon_L51_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_L54_); trivial. % 49.38/49.53 (* end of lemma zenon_L638_ *) % 49.38/49.53 assert (zenon_L639_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hd6 zenon_H9e zenon_H8c zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.53 apply (zenon_L609_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.53 apply (zenon_L89_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.53 apply (zenon_L31_); trivial. % 49.38/49.53 apply (zenon_L571_); trivial. % 49.38/49.53 (* end of lemma zenon_L639_ *) % 49.38/49.53 assert (zenon_L640_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.53 do 0 intro. intros zenon_Hfd zenon_Hc7 zenon_H1f zenon_H6c zenon_Hae zenon_Hab zenon_H9e zenon_H99 zenon_H9a zenon_Hdc zenon_H111 zenon_H36b zenon_H40 zenon_H23 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_H35d zenon_H353 zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H58 zenon_H113 zenon_H185 zenon_Hea zenon_H37f zenon_H387 zenon_H11b zenon_H368 zenon_He0 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd6 zenon_H82 zenon_H96 zenon_H60 zenon_H2c zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.53 apply (zenon_L639_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.53 apply (zenon_L26_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_L637_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.53 apply (zenon_L28_); trivial. % 49.38/49.53 apply (zenon_L54_); trivial. % 49.38/49.53 (* end of lemma zenon_L640_ *) % 49.38/49.53 assert (zenon_L641_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H37b zenon_H371 zenon_H16a zenon_H178 zenon_H43 zenon_H16b zenon_H4a zenon_H182 zenon_H15e zenon_H17a zenon_H2d zenon_H67 zenon_H377 zenon_H4e zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_Hae zenon_H18e zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H13a zenon_H6c zenon_H117 zenon_H391 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.53 apply (zenon_L4_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.53 apply (zenon_L113_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.53 apply (zenon_L4_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.53 apply (zenon_L6_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.53 apply (zenon_L18_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.53 apply (zenon_L19_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.53 apply (zenon_L23_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.53 apply (zenon_L24_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.53 apply (zenon_L68_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L113_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_L593_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.53 apply (zenon_L69_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.53 apply (zenon_L68_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.53 apply (zenon_L57_); trivial. % 49.38/49.53 apply (zenon_L597_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.53 apply (zenon_L23_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.53 apply (zenon_L24_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L113_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_L615_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.53 apply (zenon_L615_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.53 apply (zenon_L618_); trivial. % 49.38/49.53 apply (zenon_L619_); trivial. % 49.38/49.53 apply (zenon_L43_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.53 apply (zenon_L44_); trivial. % 49.38/49.53 apply (zenon_L621_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_L8_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.53 apply (zenon_L4_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.53 apply (zenon_L6_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.53 apply (zenon_L18_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.53 apply (zenon_L19_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.53 apply (zenon_L23_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.53 apply (zenon_L24_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L574_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_L634_); trivial. % 49.38/49.53 apply (zenon_L635_); trivial. % 49.38/49.53 apply (zenon_L569_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.53 apply (zenon_L23_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.53 apply (zenon_L24_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L113_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.53 apply (zenon_L625_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.53 apply (zenon_L634_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.53 apply (zenon_L636_); trivial. % 49.38/49.53 apply (zenon_L630_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.53 apply (zenon_L21_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.53 apply (zenon_L638_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.53 apply (zenon_L636_); trivial. % 49.38/49.53 apply (zenon_L640_); trivial. % 49.38/49.53 apply (zenon_L43_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.53 apply (zenon_L44_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.53 apply (zenon_L14_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.53 apply (zenon_L581_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.53 apply (zenon_L140_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.53 apply (zenon_L574_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.53 apply (zenon_L25_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.53 apply (zenon_L633_); trivial. % 49.38/49.53 apply (zenon_L504_); trivial. % 49.38/49.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.53 apply (zenon_L7_); trivial. % 49.38/49.53 apply (zenon_L8_); trivial. % 49.38/49.53 (* end of lemma zenon_L641_ *) % 49.38/49.53 assert (zenon_L642_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> False). % 49.38/49.53 do 0 intro. intros zenon_H353 zenon_H394 zenon_H96. % 49.38/49.53 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H77 | zenon_intro zenon_H48 ]. % 49.38/49.53 cut (((e12) = (e12)) = ((e11) = (e12))). % 49.38/49.53 intro zenon_D_pnotp. % 49.38/49.53 apply zenon_H96. % 49.38/49.53 rewrite <- zenon_D_pnotp. % 49.38/49.53 exact zenon_H77. % 49.38/49.53 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 49.38/49.53 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 49.38/49.53 congruence. % 49.38/49.53 cut (((op1 (e12) (e10)) = (e11)) = ((e12) = (e11))). % 49.38/49.53 intro zenon_D_pnotp. % 49.38/49.53 apply zenon_H97. % 49.38/49.53 rewrite <- zenon_D_pnotp. % 49.38/49.53 exact zenon_H353. % 49.38/49.53 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.38/49.53 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 49.38/49.53 congruence. % 49.38/49.53 exact (zenon_H395 zenon_H394). % 49.38/49.53 apply zenon_H51. apply refl_equal. % 49.38/49.53 apply zenon_H48. apply refl_equal. % 49.38/49.53 apply zenon_H48. apply refl_equal. % 49.38/49.53 (* end of lemma zenon_L642_ *) % 49.38/49.53 assert (zenon_L643_ : (((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 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e12))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H60 zenon_He4 zenon_H63 zenon_He7 zenon_H76. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.54 apply (zenon_L553_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.54 apply (zenon_L24_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.54 apply (zenon_L490_); trivial. % 49.38/49.54 apply (zenon_L505_); trivial. % 49.38/49.54 (* end of lemma zenon_L643_ *) % 49.38/49.54 assert (zenon_L644_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H190 zenon_H19 zenon_H18 zenon_H76 zenon_H92 zenon_H3a zenon_H160 zenon_H187 zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H2d. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.54 apply (zenon_L2_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.54 apply (zenon_L643_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.54 apply (zenon_L140_); trivial. % 49.38/49.54 apply (zenon_L578_); trivial. % 49.38/49.54 (* end of lemma zenon_L644_ *) % 49.38/49.54 assert (zenon_L645_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H113 zenon_H58 zenon_H4e zenon_H40 zenon_H23 zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H160 zenon_H92 zenon_H76 zenon_H18 zenon_H19 zenon_H190 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.54 apply (zenon_L113_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.54 apply (zenon_L69_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.54 apply (zenon_L6_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.54 apply (zenon_L553_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.54 apply (zenon_L24_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.54 apply (zenon_L490_); trivial. % 49.38/49.54 apply (zenon_L569_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.54 apply (zenon_L44_); trivial. % 49.38/49.54 apply (zenon_L644_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.54 apply (zenon_L7_); trivial. % 49.38/49.54 apply (zenon_L8_); trivial. % 49.38/49.54 (* end of lemma zenon_L645_ *) % 49.38/49.54 assert (zenon_L646_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H396 zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H11e zenon_H371 zenon_H36b zenon_Hc7 zenon_H11d zenon_H135 zenon_H35d zenon_H117 zenon_H180 zenon_H151 zenon_H37b zenon_H4a zenon_H146 zenon_H182 zenon_H365 zenon_H377 zenon_H13a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_H15f zenon_H96 zenon_H353 zenon_H113 zenon_H58 zenon_H4e zenon_H40 zenon_H23 zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H160 zenon_H76 zenon_H18 zenon_H19 zenon_H190 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ]. % 49.38/49.54 apply (zenon_L582_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.54 apply (zenon_L113_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.54 apply (zenon_L69_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.54 apply (zenon_L579_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.54 apply (zenon_L7_); trivial. % 49.38/49.54 apply (zenon_L8_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ]. % 49.38/49.54 apply (zenon_L642_); trivial. % 49.38/49.54 apply (zenon_L645_); trivial. % 49.38/49.54 (* end of lemma zenon_L646_ *) % 49.38/49.54 assert (zenon_L647_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_He7 zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H33 zenon_H15f zenon_H187 zenon_H135 zenon_H3a zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.54 apply (zenon_L2_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.54 apply (zenon_L620_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.54 apply (zenon_L140_); trivial. % 49.38/49.54 apply (zenon_L561_); trivial. % 49.38/49.54 (* end of lemma zenon_L647_ *) % 49.38/49.54 assert (zenon_L648_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H40 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H23 zenon_H72 zenon_H160 zenon_H4f zenon_H18 zenon_H19 zenon_H190 zenon_He0 zenon_H35d zenon_H377 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.54 apply (zenon_L6_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.54 apply (zenon_L565_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.54 apply (zenon_L44_); trivial. % 49.38/49.54 apply (zenon_L647_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.54 apply (zenon_L7_); trivial. % 49.38/49.54 apply (zenon_L8_); trivial. % 49.38/49.54 (* end of lemma zenon_L648_ *) % 49.38/49.54 assert (zenon_L649_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H396 zenon_H377 zenon_H18 zenon_H37b zenon_H19 zenon_H4a zenon_H96 zenon_H113 zenon_H58 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_He0 zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H99 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_Hc7 zenon_H23 zenon_H40 zenon_H110 zenon_H111. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.54 apply (zenon_L113_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.54 apply (zenon_L648_); trivial. % 49.38/49.54 apply (zenon_L63_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ]. % 49.38/49.54 apply (zenon_L567_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ]. % 49.38/49.54 apply (zenon_L642_); trivial. % 49.38/49.54 apply (zenon_L606_); trivial. % 49.38/49.54 (* end of lemma zenon_L649_ *) % 49.38/49.54 assert (zenon_L650_ : (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H111 zenon_H40 zenon_H23 zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_He0 zenon_H35d zenon_H180 zenon_H146 zenon_H151 zenon_H161 zenon_H33 zenon_H24 zenon_H3a zenon_H58 zenon_H113 zenon_H96 zenon_H4a zenon_H19 zenon_H37b zenon_H18 zenon_H377 zenon_H396 zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H15e zenon_H36e zenon_H173 zenon_H10b zenon_H142 zenon_H368 zenon_H13f zenon_H371 zenon_H36b zenon_H182 zenon_H365 zenon_H13a zenon_Hf7 zenon_H360 zenon_H155 zenon_H16c zenon_H15a zenon_H362 zenon_H12b zenon_Hd6 zenon_Hd9 zenon_H8b zenon_H126 zenon_H82 zenon_H63 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_H154 zenon_H185 zenon_H178 zenon_H17a zenon_H38e zenon_H391 zenon_H20 zenon_H1f zenon_H122. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.54 apply (zenon_L13_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.54 apply (zenon_L18_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.38/49.54 apply (zenon_L641_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.38/49.54 apply (zenon_L142_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.38/49.54 apply (zenon_L646_); trivial. % 49.38/49.54 apply (zenon_L649_); trivial. % 49.38/49.54 apply (zenon_L70_); trivial. % 49.38/49.54 (* end of lemma zenon_L650_ *) % 49.38/49.54 assert (zenon_L651_ : (~((h3 (e11)) = (e21))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H399 zenon_H39a zenon_H19b. % 49.38/49.54 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (e11)) = (e21))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H399. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H39a. % 49.38/49.54 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.38/49.54 cut (((h3 (e11)) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H39b]. % 49.38/49.54 congruence. % 49.38/49.54 apply zenon_H39b. apply refl_equal. % 49.38/49.54 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.38/49.54 (* end of lemma zenon_L651_ *) % 49.38/49.54 assert (zenon_L652_ : (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op2 (e20) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H39c zenon_H39d zenon_H54 zenon_H1ce zenon_H19e zenon_H13 zenon_H14 zenon_H39a zenon_H19b. % 49.38/49.54 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H39c. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H39d. % 49.38/49.54 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H39e]. % 49.38/49.54 cut (((h3 (e13)) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H39f]. % 49.38/49.54 congruence. % 49.38/49.54 elim (classic ((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H3a1 ]. % 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11)))) = ((h3 (e13)) = (h3 (op1 (e10) (e11))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H39f. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3a0. % 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a1]. % 49.38/49.54 cut (((h3 (op1 (e10) (e11))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a2]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 49.38/49.54 congruence. % 49.38/49.54 exact (zenon_H55 zenon_H54). % 49.38/49.54 apply zenon_H3a1. apply refl_equal. % 49.38/49.54 apply zenon_H3a1. apply refl_equal. % 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e11))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H39e. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3a3. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3a5. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H1ce. % 49.38/49.54 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 49.38/49.54 cut (((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a7]. % 49.38/49.54 congruence. % 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3a7. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3a3. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.54 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.38/49.54 congruence. % 49.38/49.54 apply (zenon_L1_); trivial. % 49.38/49.54 apply (zenon_L651_); trivial. % 49.38/49.54 apply zenon_H3a4. apply refl_equal. % 49.38/49.54 apply zenon_H3a4. apply refl_equal. % 49.38/49.54 exact (zenon_H3a6 zenon_H19e). % 49.38/49.54 apply zenon_H3a4. apply refl_equal. % 49.38/49.54 apply zenon_H3a4. apply refl_equal. % 49.38/49.54 (* end of lemma zenon_L652_ *) % 49.38/49.54 assert (zenon_L653_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((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)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H180 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H18e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.54 apply (zenon_L626_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.54 apply (zenon_L7_); trivial. % 49.38/49.54 apply (zenon_L8_); trivial. % 49.38/49.54 (* end of lemma zenon_L653_ *) % 49.38/49.54 assert (zenon_L654_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H19b zenon_H39a zenon_H14 zenon_H13 zenon_H19e zenon_H1ce zenon_H39d zenon_H39c zenon_H377 zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.54 apply (zenon_L13_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.54 apply (zenon_L650_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.54 apply (zenon_L4_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.54 apply (zenon_L652_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.54 apply (zenon_L17_); trivial. % 49.38/49.54 apply (zenon_L653_); trivial. % 49.38/49.54 apply (zenon_L550_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.54 apply (zenon_L110_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.54 apply (zenon_L111_); trivial. % 49.38/49.54 apply (zenon_L153_); trivial. % 49.38/49.54 (* end of lemma zenon_L654_ *) % 49.38/49.54 assert (zenon_L655_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H2fa zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.38/49.54 apply (zenon_L156_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.38/49.54 apply (zenon_L448_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.38/49.54 apply (zenon_L159_); trivial. % 49.38/49.54 apply (zenon_L160_); trivial. % 49.38/49.54 (* end of lemma zenon_L655_ *) % 49.38/49.54 assert (zenon_L656_ : (~((h3 (e13)) = (e23))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H3ac zenon_H39d zenon_H19e. % 49.38/49.54 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (e13)) = (e23))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3ac. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H39d. % 49.38/49.54 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 49.38/49.54 cut (((h3 (e13)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ae]. % 49.38/49.54 congruence. % 49.38/49.54 apply zenon_H3ae. apply refl_equal. % 49.38/49.54 apply zenon_H3ad. apply sym_equal. exact zenon_H19e. % 49.38/49.54 (* end of lemma zenon_L656_ *) % 49.38/49.54 assert (zenon_L657_ : (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op1 (e10) (e13)) = (e12)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H3af zenon_H3b0 zenon_H110 zenon_H28a zenon_H13 zenon_H14 zenon_H39d zenon_H19e. % 49.38/49.54 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3af. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3b0. % 49.38/49.54 cut (((e22) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b1]. % 49.38/49.54 cut (((h3 (e12)) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 49.38/49.54 congruence. % 49.38/49.54 elim (classic ((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b4 ]. % 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13)))) = ((h3 (e12)) = (h3 (op1 (e10) (e13))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3b2. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3b3. % 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b4]. % 49.38/49.54 cut (((h3 (op1 (e10) (e13))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 49.38/49.54 congruence. % 49.38/49.54 exact (zenon_H15d zenon_H110). % 49.38/49.54 apply zenon_H3b4. apply refl_equal. % 49.38/49.54 apply zenon_H3b4. apply refl_equal. % 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H3b7 ]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((e22) = (op2 (h3 (e10)) (h3 (e13))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3b1. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3b6. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3b8]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (h3 (e10)) (h3 (e13))) = (e22))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3b8. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H28a. % 49.38/49.54 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.38/49.54 cut (((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b9]. % 49.38/49.54 congruence. % 49.38/49.54 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H3b6 | zenon_intro zenon_H3b7 ]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3b9. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H3b6. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 49.38/49.54 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3ba]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.38/49.54 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.38/49.54 congruence. % 49.38/49.54 apply (zenon_L1_); trivial. % 49.38/49.54 apply (zenon_L656_); trivial. % 49.38/49.54 apply zenon_H3b7. apply refl_equal. % 49.38/49.54 apply zenon_H3b7. apply refl_equal. % 49.38/49.54 apply zenon_H1c2. apply refl_equal. % 49.38/49.54 apply zenon_H3b7. apply refl_equal. % 49.38/49.54 apply zenon_H3b7. apply refl_equal. % 49.38/49.54 (* end of lemma zenon_L657_ *) % 49.38/49.54 assert (zenon_L658_ : (((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 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.54 do 0 intro. intros zenon_H160 zenon_H3a zenon_H92 zenon_H60 zenon_H58 zenon_H94 zenon_H35d zenon_Hc7 zenon_Hae zenon_Hab zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H8b zenon_H82 zenon_H56 zenon_Hd9 zenon_H4f zenon_H117 zenon_H9e zenon_He0 zenon_H6c zenon_H24 zenon_H18e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_H154 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.54 apply (zenon_L553_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.54 apply (zenon_L24_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.54 apply (zenon_L624_); trivial. % 49.38/49.54 apply (zenon_L569_); trivial. % 49.38/49.54 (* end of lemma zenon_L658_ *) % 49.38/49.54 assert (zenon_L659_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H15f zenon_H1f zenon_H20 zenon_H33 zenon_H60 zenon_H56 zenon_H63 zenon_He7 zenon_H4f. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.54 apply (zenon_L18_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.54 apply (zenon_L19_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.54 apply (zenon_L20_); trivial. % 49.38/49.54 apply (zenon_L47_); trivial. % 49.38/49.54 (* end of lemma zenon_L659_ *) % 49.38/49.54 assert (zenon_L660_ : ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.38/49.54 do 0 intro. intros zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hae zenon_Hf3 zenon_Haf. % 49.38/49.54 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 49.38/49.54 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 49.38/49.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 49.38/49.54 cut (((op1 (e11) (op1 (e10) (e11))) = (e11)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H15a. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_Ha2. % 49.38/49.54 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 49.38/49.54 cut (((op1 (e11) (op1 (e10) (e11))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 49.38/49.54 congruence. % 49.38/49.54 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e10) (e11))) = (op1 (e11) (e13)))). % 49.38/49.54 intro zenon_D_pnotp. % 49.38/49.54 apply zenon_H3bb. % 49.38/49.54 rewrite <- zenon_D_pnotp. % 49.38/49.54 exact zenon_H147. % 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 49.38/49.54 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3bc]. % 49.38/49.54 congruence. % 49.38/49.54 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H361]. % 49.38/49.54 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 49.38/49.54 congruence. % 49.38/49.54 apply zenon_H51. apply refl_equal. % 49.38/49.54 apply zenon_H361. apply sym_equal. exact zenon_H54. % 49.38/49.54 apply zenon_H148. apply refl_equal. % 49.38/49.54 apply zenon_H148. apply refl_equal. % 49.38/49.54 apply zenon_Hf6. apply sym_equal. exact zenon_Hf3. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Had | zenon_intro zenon_Hd5 ]. % 49.38/49.54 apply (zenon_L49_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 49.38/49.54 apply (zenon_L94_); trivial. % 49.38/49.54 apply (zenon_L50_); trivial. % 49.38/49.54 (* end of lemma zenon_L660_ *) % 49.38/49.54 assert (zenon_L661_ : ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.38/49.54 do 0 intro. intros zenon_H20 zenon_He7 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H108 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hf7 zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_Hfb zenon_H24 zenon_Hae zenon_Haf. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.54 apply (zenon_L70_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.54 apply (zenon_L481_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.38/49.54 apply (zenon_L527_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.38/49.54 apply (zenon_L47_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.38/49.54 apply (zenon_L48_); trivial. % 49.38/49.54 apply (zenon_L660_); trivial. % 49.38/49.54 apply (zenon_L660_); trivial. % 49.38/49.54 (* end of lemma zenon_L661_ *) % 49.38/49.54 assert (zenon_L662_ : ((op1 (e10) (e12)) = (e11)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_H56 zenon_H20 zenon_He7 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H2d zenon_H135 zenon_H113 zenon_H33 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_Hfd zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H108 zenon_H99 zenon_H63 zenon_H82 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hf7 zenon_H54 zenon_H15a zenon_He0 zenon_H9a zenon_Hea zenon_H1f zenon_H24 zenon_Hae. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.54 apply (zenon_L7_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.54 apply (zenon_L144_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.54 apply (zenon_L8_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.54 apply (zenon_L504_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.38/49.54 apply (zenon_L28_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.38/49.54 apply (zenon_L93_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.38/49.54 apply (zenon_L661_); trivial. % 49.38/49.54 apply (zenon_L104_); trivial. % 49.38/49.54 apply (zenon_L104_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.54 apply (zenon_L17_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.54 apply (zenon_L26_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.54 apply (zenon_L132_); trivial. % 49.38/49.54 apply (zenon_L661_); trivial. % 49.38/49.54 (* end of lemma zenon_L662_ *) % 49.38/49.54 assert (zenon_L663_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((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)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.54 apply (zenon_L45_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.54 apply (zenon_L662_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.54 apply (zenon_L520_); trivial. % 49.38/49.54 apply (zenon_L60_); trivial. % 49.38/49.54 (* end of lemma zenon_L663_ *) % 49.38/49.54 assert (zenon_L664_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((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)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.38/49.54 do 0 intro. intros zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.54 apply (zenon_L15_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.54 apply (zenon_L659_); trivial. % 49.38/49.54 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.54 apply (zenon_L140_); trivial. % 49.38/49.54 apply (zenon_L663_); trivial. % 49.38/49.54 (* end of lemma zenon_L664_ *) % 49.38/49.54 assert (zenon_L665_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((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)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H113 zenon_H111 zenon_H10e zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H180 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H18e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.55 apply (zenon_L4_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.55 apply (zenon_L544_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.55 apply (zenon_L17_); trivial. % 49.38/49.55 apply (zenon_L653_); trivial. % 49.38/49.55 (* end of lemma zenon_L665_ *) % 49.38/49.55 assert (zenon_L666_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H19e zenon_H39d zenon_H14 zenon_H13 zenon_H28a zenon_H3b0 zenon_H3af zenon_H377 zenon_H38e zenon_H387 zenon_H37f zenon_H37b zenon_H391 zenon_H396 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.55 apply (zenon_L13_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.55 apply (zenon_L650_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.55 apply (zenon_L13_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.55 apply (zenon_L18_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.55 apply (zenon_L4_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.55 apply (zenon_L4_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.55 apply (zenon_L6_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.55 apply (zenon_L18_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.55 apply (zenon_L19_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.55 apply (zenon_L20_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.55 apply (zenon_L641_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.55 apply (zenon_L19_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.55 apply (zenon_L22_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.55 apply (zenon_L622_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.55 apply (zenon_L24_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.38/49.55 apply (zenon_L552_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.38/49.55 apply (zenon_L481_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.38/49.55 apply (zenon_L65_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.55 apply (zenon_L657_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.55 apply (zenon_L43_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.38/49.55 apply (zenon_L587_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.38/49.55 apply (zenon_L497_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.38/49.55 apply (zenon_L558_); trivial. % 49.38/49.55 apply (zenon_L658_); trivial. % 49.38/49.55 apply (zenon_L507_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.55 apply (zenon_L604_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.55 apply (zenon_L31_); trivial. % 49.38/49.55 apply (zenon_L571_); trivial. % 49.38/49.55 apply (zenon_L43_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.55 apply (zenon_L44_); trivial. % 49.38/49.55 apply (zenon_L664_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.55 apply (zenon_L7_); trivial. % 49.38/49.55 apply (zenon_L8_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.55 apply (zenon_L17_); trivial. % 49.38/49.55 apply (zenon_L653_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.38/49.55 apply (zenon_L665_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.38/49.55 apply (zenon_L45_); trivial. % 49.38/49.55 apply (zenon_L657_); trivial. % 49.38/49.55 apply (zenon_L70_); trivial. % 49.38/49.55 apply (zenon_L550_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.55 apply (zenon_L110_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.55 apply (zenon_L111_); trivial. % 49.38/49.55 apply (zenon_L153_); trivial. % 49.38/49.55 (* end of lemma zenon_L666_ *) % 49.38/49.55 assert (zenon_L667_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.38/49.55 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H20c zenon_H1da zenon_H1d2 zenon_H20e zenon_H317 zenon_H241 zenon_H228 zenon_H225 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H205 zenon_H1fc zenon_H1d0 zenon_H253 zenon_H1c9 zenon_H291 zenon_H218 zenon_H25a zenon_H1e6 zenon_H19e zenon_H308 zenon_H1f5 zenon_H277 zenon_H1ad zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.38/49.55 apply (zenon_L383_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.38/49.55 apply (zenon_L176_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.38/49.55 apply (zenon_L447_); trivial. % 49.38/49.55 apply (zenon_L388_); trivial. % 49.38/49.55 (* end of lemma zenon_L667_ *) % 49.38/49.55 assert (zenon_L668_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H19b zenon_H1ad zenon_H1da zenon_H1d0 zenon_H1dd zenon_H261 zenon_H1c9. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.38/49.55 apply (zenon_L170_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.38/49.55 apply (zenon_L171_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.38/49.55 apply (zenon_L172_); trivial. % 49.38/49.55 apply (zenon_L199_); trivial. % 49.38/49.55 (* end of lemma zenon_L668_ *) % 49.38/49.55 assert (zenon_L669_ : ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.38/49.55 do 0 intro. intros zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H228 zenon_H26d zenon_H229. % 49.38/49.55 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H217 | zenon_intro zenon_H24e ]. % 49.38/49.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 49.38/49.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 49.38/49.55 cut (((op2 (e21) (op2 (e20) (e21))) = (e21)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H2d4. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H21c. % 49.38/49.55 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 49.38/49.55 cut (((op2 (e21) (op2 (e20) (e21))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3bd]. % 49.38/49.55 congruence. % 49.38/49.55 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c2 ]. % 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e20) (e21))) = (op2 (e21) (e23)))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3bd. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H2c1. % 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 49.38/49.55 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3be]. % 49.38/49.55 congruence. % 49.38/49.55 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H31b]. % 49.38/49.55 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 49.38/49.55 congruence. % 49.38/49.55 apply zenon_H1cb. apply refl_equal. % 49.38/49.55 apply zenon_H31b. apply sym_equal. exact zenon_H1ce. % 49.38/49.55 apply zenon_H2c2. apply refl_equal. % 49.38/49.55 apply zenon_H2c2. apply refl_equal. % 49.38/49.55 apply zenon_H270. apply sym_equal. exact zenon_H26d. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H227 | zenon_intro zenon_H24f ]. % 49.38/49.55 apply (zenon_L201_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H237 | zenon_intro zenon_H240 ]. % 49.38/49.55 apply (zenon_L246_); trivial. % 49.38/49.55 apply (zenon_L202_); trivial. % 49.38/49.55 (* end of lemma zenon_L669_ *) % 49.38/49.55 assert (zenon_L670_ : ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.38/49.55 do 0 intro. intros zenon_H19b zenon_H261 zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H271 zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H275 zenon_H19e zenon_H228 zenon_H229. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.38/49.55 apply (zenon_L222_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.38/49.55 apply (zenon_L312_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.38/49.55 apply (zenon_L358_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.38/49.55 apply (zenon_L199_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.38/49.55 apply (zenon_L200_); trivial. % 49.38/49.55 apply (zenon_L669_); trivial. % 49.38/49.55 apply (zenon_L669_); trivial. % 49.38/49.55 (* end of lemma zenon_L670_ *) % 49.38/49.55 assert (zenon_L671_ : ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H1d0 zenon_H19b zenon_H261 zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H277 zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H282 zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H271 zenon_H1ce zenon_H2d4 zenon_H25a zenon_H214 zenon_H264 zenon_H14 zenon_H19e zenon_H228. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.38/49.55 apply (zenon_L159_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.38/49.55 apply (zenon_L296_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.38/49.55 apply (zenon_L160_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.38/49.55 apply (zenon_L335_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.38/49.55 apply (zenon_L180_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.38/49.55 apply (zenon_L245_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.38/49.55 apply (zenon_L670_); trivial. % 49.38/49.55 apply (zenon_L256_); trivial. % 49.38/49.55 apply (zenon_L256_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.38/49.55 apply (zenon_L169_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.38/49.55 apply (zenon_L178_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.38/49.55 apply (zenon_L284_); trivial. % 49.38/49.55 apply (zenon_L670_); trivial. % 49.38/49.55 (* end of lemma zenon_L671_ *) % 49.38/49.55 assert (zenon_L672_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H305 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.38/49.55 apply (zenon_L197_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.38/49.55 apply (zenon_L671_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.38/49.55 apply (zenon_L351_); trivial. % 49.38/49.55 apply (zenon_L212_); trivial. % 49.38/49.55 (* end of lemma zenon_L672_ *) % 49.38/49.55 assert (zenon_L673_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.38/49.55 apply (zenon_L167_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.38/49.55 apply (zenon_L668_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.38/49.55 apply (zenon_L292_); trivial. % 49.38/49.55 apply (zenon_L672_); trivial. % 49.38/49.55 (* end of lemma zenon_L673_ *) % 49.38/49.55 assert (zenon_L674_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H28d zenon_H28b zenon_H288 zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H2fa zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.38/49.55 apply (zenon_L156_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.38/49.55 apply (zenon_L373_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.38/49.55 apply (zenon_L169_); trivial. % 49.38/49.55 apply (zenon_L655_); trivial. % 49.38/49.55 (* end of lemma zenon_L674_ *) % 49.38/49.55 assert (zenon_L675_ : (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op1 (e11) (e11)) = (e10)) -> ((op2 (e21) (e21)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H3bf zenon_H13 zenon_H60 zenon_H1da zenon_H14 zenon_H39a zenon_H19b. % 49.38/49.55 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3bf. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H13. % 49.38/49.55 cut (((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 49.38/49.55 cut (((h3 (e10)) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c1]. % 49.38/49.55 congruence. % 49.38/49.55 elim (classic ((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c3 ]. % 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11)))) = ((h3 (e10)) = (h3 (op1 (e11) (e11))))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3c1. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H3c2. % 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c3]. % 49.38/49.55 cut (((h3 (op1 (e11) (e11))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c4]. % 49.38/49.55 congruence. % 49.38/49.55 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c5]. % 49.38/49.55 congruence. % 49.38/49.55 exact (zenon_H3c5 zenon_H60). % 49.38/49.55 apply zenon_H3c3. apply refl_equal. % 49.38/49.55 apply zenon_H3c3. apply refl_equal. % 49.38/49.55 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H3c7 ]. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e11))))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3c0. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H3c6. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c8]. % 49.38/49.55 congruence. % 49.38/49.55 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (h3 (e11)) (h3 (e11))) = (op2 (e22) (e22)))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3c8. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H1da. % 49.38/49.55 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 49.38/49.55 cut (((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 49.38/49.55 congruence. % 49.38/49.55 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3c6 | zenon_intro zenon_H3c7 ]. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))). % 49.38/49.55 intro zenon_D_pnotp. % 49.38/49.55 apply zenon_H3ca. % 49.38/49.55 rewrite <- zenon_D_pnotp. % 49.38/49.55 exact zenon_H3c6. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 49.38/49.55 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3cb]. % 49.38/49.55 congruence. % 49.38/49.55 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.55 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.55 congruence. % 49.38/49.55 apply (zenon_L651_); trivial. % 49.38/49.55 apply (zenon_L651_); trivial. % 49.38/49.55 apply zenon_H3c7. apply refl_equal. % 49.38/49.55 apply zenon_H3c7. apply refl_equal. % 49.38/49.55 exact (zenon_H3c9 zenon_H14). % 49.38/49.55 apply zenon_H3c7. apply refl_equal. % 49.38/49.55 apply zenon_H3c7. apply refl_equal. % 49.38/49.55 (* end of lemma zenon_L675_ *) % 49.38/49.55 assert (zenon_L676_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.38/49.55 do 0 intro. intros zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H1a7 zenon_H2af zenon_H253 zenon_H2ff zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H271 zenon_H264 zenon_H228 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3bf zenon_H13 zenon_H39a zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.38/49.55 apply (zenon_L156_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.38/49.55 apply (zenon_L158_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.55 apply (zenon_L13_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.55 apply (zenon_L650_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.55 apply (zenon_L13_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.55 apply (zenon_L18_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.55 apply (zenon_L4_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.55 apply (zenon_L4_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.55 apply (zenon_L6_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.55 apply (zenon_L675_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.55 apply (zenon_L44_); trivial. % 49.38/49.55 apply (zenon_L664_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.55 apply (zenon_L7_); trivial. % 49.38/49.55 apply (zenon_L8_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.55 apply (zenon_L17_); trivial. % 49.38/49.55 apply (zenon_L653_); trivial. % 49.38/49.55 apply (zenon_L70_); trivial. % 49.38/49.55 apply (zenon_L550_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.55 apply (zenon_L110_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.55 apply (zenon_L111_); trivial. % 49.38/49.55 apply (zenon_L153_); trivial. % 49.38/49.55 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.38/49.56 apply (zenon_L196_); trivial. % 49.38/49.56 apply (zenon_L673_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.38/49.56 apply (zenon_L159_); trivial. % 49.38/49.56 apply (zenon_L160_); trivial. % 49.38/49.56 (* end of lemma zenon_L676_ *) % 49.38/49.56 assert (zenon_L677_ : (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3cc zenon_H9a zenon_H214 zenon_H39a zenon_H19b zenon_H3b0. % 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3cc. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3b0. % 49.38/49.56 cut (((e22) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3cd]. % 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3ce]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ]. % 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12)))) = ((h3 (e12)) = (h3 (op1 (e11) (e12))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3ce. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3cf. % 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d0]. % 49.38/49.56 cut (((h3 (op1 (e11) (e12))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3d1]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3d2]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H3d2 zenon_H9a). % 49.38/49.56 apply zenon_H3d0. apply refl_equal. % 49.38/49.56 apply zenon_H3d0. apply refl_equal. % 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H3d4 ]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((e22) = (op2 (h3 (e11)) (h3 (e12))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3cd. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3d3. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d5]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h3 (e11)) (h3 (e12))) = (e22))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3d5. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H214. % 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.38/49.56 cut (((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d6]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H3d4 ]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3d6. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3d3. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3d4]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d7]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.56 congruence. % 49.38/49.56 apply (zenon_L651_); trivial. % 49.38/49.56 exact (zenon_H3d8 zenon_H3b0). % 49.38/49.56 apply zenon_H3d4. apply refl_equal. % 49.38/49.56 apply zenon_H3d4. apply refl_equal. % 49.38/49.56 apply zenon_H1c2. apply refl_equal. % 49.38/49.56 apply zenon_H3d4. apply refl_equal. % 49.38/49.56 apply zenon_H3d4. apply refl_equal. % 49.38/49.56 (* end of lemma zenon_L677_ *) % 49.38/49.56 assert (zenon_L678_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H160 zenon_H72 zenon_H3b0 zenon_H19b zenon_H39a zenon_H214 zenon_H3cc zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.56 apply (zenon_L6_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.56 apply (zenon_L19_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.56 apply (zenon_L20_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.56 apply (zenon_L23_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.56 apply (zenon_L24_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.56 apply (zenon_L677_); trivial. % 49.38/49.56 apply (zenon_L43_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.56 apply (zenon_L44_); trivial. % 49.38/49.56 apply (zenon_L664_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_L8_); trivial. % 49.38/49.56 (* end of lemma zenon_L678_ *) % 49.38/49.56 assert (zenon_L679_ : ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((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)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H110 zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H58 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H8b zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_He7 zenon_H185 zenon_Hd9 zenon_H135 zenon_H3a zenon_H2d zenon_H15a zenon_H18d zenon_H54 zenon_H33 zenon_Hfd zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.56 apply (zenon_L64_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.56 apply (zenon_L659_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.56 apply (zenon_L140_); trivial. % 49.38/49.56 apply (zenon_L663_); trivial. % 49.38/49.56 (* end of lemma zenon_L679_ *) % 49.38/49.56 assert (zenon_L680_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19b zenon_H39a zenon_H214 zenon_H3cc zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.56 apply (zenon_L650_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_L678_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_L653_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.38/49.56 apply (zenon_L665_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.38/49.56 apply (zenon_L45_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_L678_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L648_); trivial. % 49.38/49.56 apply (zenon_L653_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ]. % 49.38/49.56 apply (zenon_L622_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ]. % 49.38/49.56 apply (zenon_L642_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.56 apply (zenon_L6_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.56 apply (zenon_L19_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.56 apply (zenon_L20_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.56 apply (zenon_L553_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.56 apply (zenon_L24_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.56 apply (zenon_L677_); trivial. % 49.38/49.56 apply (zenon_L43_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.56 apply (zenon_L44_); trivial. % 49.38/49.56 apply (zenon_L679_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_L8_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_L63_); trivial. % 49.38/49.56 apply (zenon_L70_); trivial. % 49.38/49.56 apply (zenon_L550_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.56 apply (zenon_L110_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.56 apply (zenon_L111_); trivial. % 49.38/49.56 apply (zenon_L153_); trivial. % 49.38/49.56 (* end of lemma zenon_L680_ *) % 49.38/49.56 assert (zenon_L681_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H1ad zenon_H1c9 zenon_H1d0 zenon_H1dd zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H38e zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H3cc zenon_H39a zenon_H19b zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.38/49.56 apply (zenon_L170_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.38/49.56 apply (zenon_L171_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.38/49.56 apply (zenon_L172_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.38/49.56 apply (zenon_L175_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.38/49.56 apply (zenon_L176_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.38/49.56 apply (zenon_L680_); trivial. % 49.38/49.56 apply (zenon_L195_); trivial. % 49.38/49.56 (* end of lemma zenon_L681_ *) % 49.38/49.56 assert (zenon_L682_ : ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H28a zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H1d2 zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H261 zenon_H2ff zenon_H253 zenon_H2af zenon_H1b4 zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H1ce zenon_H1ad zenon_H277 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.38/49.56 apply (zenon_L216_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.38/49.56 apply (zenon_L668_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.38/49.56 apply (zenon_L292_); trivial. % 49.38/49.56 apply (zenon_L672_); trivial. % 49.38/49.56 (* end of lemma zenon_L682_ *) % 49.38/49.56 assert (zenon_L683_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H2d9 zenon_H14 zenon_H1ad zenon_H1c9 zenon_H1da zenon_H1d0 zenon_H1dd zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3d9 zenon_H39a zenon_H19b zenon_H39d zenon_H19e zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.38/49.56 apply (zenon_L170_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.38/49.56 apply (zenon_L171_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.38/49.56 apply (zenon_L172_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.56 apply (zenon_L650_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.56 apply (zenon_L6_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.56 apply (zenon_L19_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.56 apply (zenon_L20_); trivial. % 49.38/49.56 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3d9. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H39a. % 49.38/49.56 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 49.38/49.56 cut (((h3 (e11)) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3db]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [ zenon_intro zenon_H3dc | zenon_intro zenon_H3dd ]. % 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13)))) = ((h3 (e11)) = (h3 (op1 (e11) (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3db. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3dc. % 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 49.38/49.56 cut (((h3 (op1 (e11) (e13))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3de]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_He8 zenon_Hab). % 49.38/49.56 apply zenon_H3dd. apply refl_equal. % 49.38/49.56 apply zenon_H3dd. apply refl_equal. % 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3df | zenon_intro zenon_H3e0 ]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3da. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3df. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e0]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (op2 (e22) (e22))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3e1. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H225. % 49.38/49.56 cut (((e21) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 49.38/49.56 cut (((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e3]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3df | zenon_intro zenon_H3e0 ]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3e3. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3df. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e0]. % 49.38/49.56 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3e4]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.56 congruence. % 49.38/49.56 apply (zenon_L651_); trivial. % 49.38/49.56 apply (zenon_L656_); trivial. % 49.38/49.56 apply zenon_H3e0. apply refl_equal. % 49.38/49.56 apply zenon_H3e0. apply refl_equal. % 49.38/49.56 exact (zenon_H3e2 zenon_H19b). % 49.38/49.56 apply zenon_H3e0. apply refl_equal. % 49.38/49.56 apply zenon_H3e0. apply refl_equal. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.56 apply (zenon_L44_); trivial. % 49.38/49.56 apply (zenon_L664_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_L8_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_L653_); trivial. % 49.38/49.56 apply (zenon_L70_); trivial. % 49.38/49.56 apply (zenon_L550_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.56 apply (zenon_L110_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.56 apply (zenon_L111_); trivial. % 49.38/49.56 apply (zenon_L153_); trivial. % 49.38/49.56 (* end of lemma zenon_L683_ *) % 49.38/49.56 assert (zenon_L684_ : (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3e5 zenon_H3e6 zenon_H3e7 zenon_H3b0 zenon_H39a zenon_H19b. % 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3e5. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3b0. % 49.38/49.56 cut (((e22) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8]. % 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e9]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [ zenon_intro zenon_H3ea | zenon_intro zenon_H3eb ]. % 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11)))) = ((h3 (e12)) = (h3 (op1 (e12) (e11))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3e9. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3ea. % 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3eb]. % 49.38/49.56 cut (((h3 (op1 (e12) (e11))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3ec]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3ed]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H3ed zenon_H3e6). % 49.38/49.56 apply zenon_H3eb. apply refl_equal. % 49.38/49.56 apply zenon_H3eb. apply refl_equal. % 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3ee | zenon_intro zenon_H3ef ]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((e22) = (op2 (h3 (e12)) (h3 (e11))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3e8. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3ee. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3f0]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (h3 (e12)) (h3 (e11))) = (e22))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3f0. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3e7. % 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.38/49.56 cut (((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3f1]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3ee | zenon_intro zenon_H3ef ]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3f1. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3ee. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3f2]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H3d8 zenon_H3b0). % 49.38/49.56 apply (zenon_L651_); trivial. % 49.38/49.56 apply zenon_H3ef. apply refl_equal. % 49.38/49.56 apply zenon_H3ef. apply refl_equal. % 49.38/49.56 apply zenon_H1c2. apply refl_equal. % 49.38/49.56 apply zenon_H3ef. apply refl_equal. % 49.38/49.56 apply zenon_H3ef. apply refl_equal. % 49.38/49.56 (* end of lemma zenon_L684_ *) % 49.38/49.56 assert (zenon_L685_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H3f3 zenon_H19b zenon_H39a zenon_H3b0 zenon_H3e7 zenon_H3e5 zenon_H377 zenon_H18 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.56 apply (zenon_L6_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_H10e | zenon_intro zenon_H3f4 ]. % 49.38/49.56 apply (zenon_L544_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H75 | zenon_intro zenon_H3f5 ]. % 49.38/49.56 apply (zenon_L24_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H95 ]. % 49.38/49.56 apply (zenon_L684_); trivial. % 49.38/49.56 apply (zenon_L604_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.56 apply (zenon_L44_); trivial. % 49.38/49.56 apply (zenon_L664_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_L8_); trivial. % 49.38/49.56 (* end of lemma zenon_L685_ *) % 49.38/49.56 assert (zenon_L686_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H3f3 zenon_H19b zenon_H39a zenon_H3b0 zenon_H3e7 zenon_H3e5 zenon_H37f zenon_H387 zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.56 apply (zenon_L650_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_L685_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_L653_); trivial. % 49.38/49.56 apply (zenon_L70_); trivial. % 49.38/49.56 apply (zenon_L550_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.56 apply (zenon_L110_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.56 apply (zenon_L111_); trivial. % 49.38/49.56 apply (zenon_L153_); trivial. % 49.38/49.56 (* end of lemma zenon_L686_ *) % 49.38/49.56 assert (zenon_L687_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H1b4 zenon_H19e zenon_H1ad zenon_H348 zenon_H2e4 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H2f4 zenon_H342 zenon_H2f2 zenon_H1ec zenon_H291 zenon_H2b4 zenon_H218 zenon_H308 zenon_H228 zenon_H2af zenon_H264 zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H2fa zenon_H31f zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H1d2 zenon_H1ba zenon_H19d zenon_H1fc zenon_H1dd zenon_H213 zenon_H25a zenon_H282 zenon_H31a zenon_H2a0 zenon_H29c zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H205 zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H250 zenon_H30d zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H271 zenon_H331 zenon_H274 zenon_H336 zenon_H33a zenon_H1e1 zenon_H1a7 zenon_H32b zenon_H1c9 zenon_H1e6 zenon_H14 zenon_H3f6 zenon_H28b zenon_H1ce zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H38e zenon_H396 zenon_H37b zenon_H387 zenon_H37f zenon_H3e5 zenon_H3b0 zenon_H39a zenon_H19b zenon_H3f3 zenon_H377 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.38/49.56 apply (zenon_L464_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.38/49.56 apply (zenon_L171_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.38/49.56 apply (zenon_L174_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H288 | zenon_intro zenon_H3f7 ]. % 49.38/49.56 apply (zenon_L373_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H3f8 ]. % 49.38/49.56 apply (zenon_L176_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H20f ]. % 49.38/49.56 apply (zenon_L686_); trivial. % 49.38/49.56 apply (zenon_L182_); trivial. % 49.38/49.56 (* end of lemma zenon_L687_ *) % 49.38/49.56 assert (zenon_L688_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e21)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H28d zenon_H28b zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H288 zenon_H2da zenon_H20c zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H308 zenon_H1f5 zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H2ff zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.38/49.56 apply (zenon_L156_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.38/49.56 apply (zenon_L373_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.38/49.56 apply (zenon_L169_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.38/49.56 apply (zenon_L156_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.38/49.56 apply (zenon_L158_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.38/49.56 apply (zenon_L170_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.38/49.56 apply (zenon_L171_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.38/49.56 apply (zenon_L172_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.38/49.56 apply (zenon_L294_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.38/49.56 apply (zenon_L171_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.38/49.56 apply (zenon_L174_); trivial. % 49.38/49.56 apply (zenon_L667_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.38/49.56 apply (zenon_L196_); trivial. % 49.38/49.56 apply (zenon_L213_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.38/49.56 apply (zenon_L159_); trivial. % 49.38/49.56 apply (zenon_L160_); trivial. % 49.38/49.56 (* end of lemma zenon_L688_ *) % 49.38/49.56 assert (zenon_L689_ : (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> ((op2 (e22) (e23)) = (e23)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3f9 zenon_Hfb zenon_H275 zenon_H3b0 zenon_H39d zenon_H19e. % 49.38/49.56 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3f9. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H39d. % 49.38/49.56 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fa]. % 49.38/49.56 cut (((h3 (e13)) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fb]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [ zenon_intro zenon_H3fc | zenon_intro zenon_H3fd ]. % 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13)))) = ((h3 (e13)) = (h3 (op1 (e12) (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3fb. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3fc. % 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fd]. % 49.38/49.56 cut (((h3 (op1 (e12) (e13))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3fe]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H14c zenon_Hfb). % 49.38/49.56 apply zenon_H3fd. apply refl_equal. % 49.38/49.56 apply zenon_H3fd. apply refl_equal. % 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H3ff | zenon_intro zenon_H400 ]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H3fa. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3ff. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H400]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H401]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H401. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H275. % 49.38/49.56 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 49.38/49.56 cut (((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H402]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H3ff | zenon_intro zenon_H400 ]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H402. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3ff. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H400]. % 49.38/49.56 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H403]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.38/49.56 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H3d8 zenon_H3b0). % 49.38/49.56 apply (zenon_L656_); trivial. % 49.38/49.56 apply zenon_H400. apply refl_equal. % 49.38/49.56 apply zenon_H400. apply refl_equal. % 49.38/49.56 exact (zenon_H3a6 zenon_H19e). % 49.38/49.56 apply zenon_H400. apply refl_equal. % 49.38/49.56 apply zenon_H400. apply refl_equal. % 49.38/49.56 (* end of lemma zenon_L689_ *) % 49.38/49.56 assert (zenon_L690_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((op2 (e22) (e23)) = (e23)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H377 zenon_H37f zenon_H387 zenon_H3f9 zenon_H275 zenon_H3b0 zenon_H39d zenon_H19e zenon_H37b zenon_H396 zenon_H38e zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.56 apply (zenon_L650_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.56 apply (zenon_L13_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.56 apply (zenon_L4_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.56 apply (zenon_L6_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.56 apply (zenon_L18_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.56 apply (zenon_L19_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.56 apply (zenon_L20_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.56 apply (zenon_L113_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.56 apply (zenon_L19_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.56 apply (zenon_L22_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.56 apply (zenon_L144_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.38/49.56 apply (zenon_L658_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.38/49.56 apply (zenon_L93_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.38/49.56 apply (zenon_L689_); trivial. % 49.38/49.56 apply (zenon_L104_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.56 apply (zenon_L30_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.56 apply (zenon_L60_); trivial. % 49.38/49.56 apply (zenon_L571_); trivial. % 49.38/49.56 apply (zenon_L689_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.56 apply (zenon_L44_); trivial. % 49.38/49.56 apply (zenon_L664_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.56 apply (zenon_L7_); trivial. % 49.38/49.56 apply (zenon_L8_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_L653_); trivial. % 49.38/49.56 apply (zenon_L70_); trivial. % 49.38/49.56 apply (zenon_L550_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.56 apply (zenon_L110_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.56 apply (zenon_L111_); trivial. % 49.38/49.56 apply (zenon_L153_); trivial. % 49.38/49.56 (* end of lemma zenon_L690_ *) % 49.38/49.56 assert (zenon_L691_ : ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e22) = (h3 (op1 (e13) (e10))))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H3b0 zenon_H92 zenon_H404. % 49.38/49.56 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H405 | zenon_intro zenon_H406 ]. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((e22) = (h3 (op1 (e13) (e10))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H404. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H405. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H406]. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H407]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e13) (e10))) = (e22))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H407. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H3b0. % 49.38/49.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2]. % 49.38/49.56 cut (((h3 (e12)) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H408]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H405 | zenon_intro zenon_H406 ]. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((h3 (e12)) = (h3 (op1 (e13) (e10))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H408. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H405. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H406]. % 49.38/49.56 cut (((h3 (op1 (e13) (e10))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H409]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 49.38/49.56 congruence. % 49.38/49.56 exact (zenon_H93 zenon_H92). % 49.38/49.56 apply zenon_H406. apply refl_equal. % 49.38/49.56 apply zenon_H406. apply refl_equal. % 49.38/49.56 apply zenon_H1c2. apply refl_equal. % 49.38/49.56 apply zenon_H406. apply refl_equal. % 49.38/49.56 apply zenon_H406. apply refl_equal. % 49.38/49.56 (* end of lemma zenon_L691_ *) % 49.38/49.56 assert (zenon_L692_ : ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H92 zenon_H40a. % 49.38/49.56 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40b | zenon_intro zenon_H40c ]. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H40a. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H40b. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40c]. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40d]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H40d. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H20c. % 49.38/49.56 cut (((e22) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H404]. % 49.38/49.56 cut (((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 49.38/49.56 congruence. % 49.38/49.56 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40b | zenon_intro zenon_H40c ]. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))). % 49.38/49.56 intro zenon_D_pnotp. % 49.38/49.56 apply zenon_H40e. % 49.38/49.56 rewrite <- zenon_D_pnotp. % 49.38/49.56 exact zenon_H40b. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40c]. % 49.38/49.56 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 49.38/49.56 congruence. % 49.38/49.56 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.38/49.56 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.38/49.56 congruence. % 49.38/49.56 apply (zenon_L656_); trivial. % 49.38/49.56 apply (zenon_L1_); trivial. % 49.38/49.56 apply zenon_H40c. apply refl_equal. % 49.38/49.56 apply zenon_H40c. apply refl_equal. % 49.38/49.56 apply (zenon_L691_); trivial. % 49.38/49.56 apply zenon_H40c. apply refl_equal. % 49.38/49.56 apply zenon_H40c. apply refl_equal. % 49.38/49.56 (* end of lemma zenon_L692_ *) % 49.38/49.56 assert (zenon_L693_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.56 do 0 intro. intros zenon_Hd6 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.56 apply (zenon_L692_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.56 apply (zenon_L604_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.56 apply (zenon_L31_); trivial. % 49.38/49.56 apply (zenon_L571_); trivial. % 49.38/49.56 (* end of lemma zenon_L693_ *) % 49.38/49.56 assert (zenon_L694_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 49.38/49.56 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H99 zenon_H180 zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H40a zenon_Hd6 zenon_Hab zenon_H96. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.56 apply (zenon_L23_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.56 apply (zenon_L24_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.56 apply (zenon_L693_); trivial. % 49.38/49.56 apply (zenon_L43_); trivial. % 49.38/49.56 (* end of lemma zenon_L694_ *) % 49.38/49.56 assert (zenon_L695_ : (((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)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.38/49.56 do 0 intro. intros zenon_H160 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H108 zenon_He0 zenon_H63 zenon_H180 zenon_H76 zenon_H60 zenon_H58 zenon_H94 zenon_Hd9 zenon_H56 zenon_H82 zenon_H8b zenon_Hd6 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H96 zenon_H99 zenon_H9e zenon_Hab zenon_Hae zenon_H6c zenon_H24 zenon_Hc7 zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_H154 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.56 apply (zenon_L622_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.56 apply (zenon_L24_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.56 apply (zenon_L574_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.56 apply (zenon_L25_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.56 apply (zenon_L17_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.56 apply (zenon_L26_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.56 apply (zenon_L28_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.56 apply (zenon_L692_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.56 apply (zenon_L30_); trivial. % 49.38/49.56 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.56 apply (zenon_L31_); trivial. % 49.38/49.56 apply (zenon_L39_); trivial. % 49.38/49.56 apply (zenon_L42_); trivial. % 49.38/49.56 apply (zenon_L569_); trivial. % 49.38/49.56 (* end of lemma zenon_L695_ *) % 49.38/49.56 assert (zenon_L696_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 49.38/49.57 do 0 intro. intros zenon_H161 zenon_H2d zenon_H2c zenon_H185 zenon_H37f zenon_H387 zenon_H154 zenon_H18d zenon_H7b zenon_Hc7 zenon_H20c zenon_H39d zenon_H19e zenon_H13 zenon_H14 zenon_H3b0 zenon_H40a zenon_Hd6 zenon_H76 zenon_H180 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_H160 zenon_H67 zenon_H16c zenon_H15f zenon_H10b zenon_H96 zenon_Hfa zenon_Hf7 zenon_H58 zenon_H4f zenon_Hea zenon_H9e zenon_H6c zenon_Hae zenon_H33 zenon_Hfd zenon_H8b zenon_H8c zenon_Hd9 zenon_H108 zenon_He0 zenon_H56 zenon_H63 zenon_H99 zenon_H24 zenon_H1f zenon_H20 zenon_H82. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.57 apply (zenon_L20_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.57 apply (zenon_L21_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.57 apply (zenon_L22_); trivial. % 49.38/49.57 apply (zenon_L695_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_L61_); trivial. % 49.38/49.57 (* end of lemma zenon_L696_ *) % 49.38/49.57 assert (zenon_L697_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False). % 49.38/49.57 do 0 intro. intros zenon_H9e zenon_H110 zenon_Hc8. % 49.38/49.57 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 49.38/49.57 intro zenon_D_pnotp. % 49.38/49.57 apply zenon_H9e. % 49.38/49.57 rewrite <- zenon_D_pnotp. % 49.38/49.57 exact zenon_H110. % 49.38/49.57 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 49.38/49.57 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 49.38/49.57 congruence. % 49.38/49.57 apply zenon_H8f. apply refl_equal. % 49.38/49.57 apply zenon_Hcf. apply sym_equal. exact zenon_Hc8. % 49.38/49.57 (* end of lemma zenon_L697_ *) % 49.38/49.57 assert (zenon_L698_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.38/49.57 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H14 zenon_H13 zenon_H19e zenon_H39d zenon_H20c zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.38/49.57 apply (zenon_L13_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.57 apply (zenon_L13_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.57 apply (zenon_L113_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.57 apply (zenon_L23_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.57 apply (zenon_L24_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.57 apply (zenon_L68_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.57 apply (zenon_L113_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.57 apply (zenon_L25_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.57 apply (zenon_L593_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.57 apply (zenon_L69_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.57 apply (zenon_L693_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.57 apply (zenon_L57_); trivial. % 49.38/49.57 apply (zenon_L597_); trivial. % 49.38/49.57 apply (zenon_L694_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_L621_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.57 apply (zenon_L23_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.57 apply (zenon_L24_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.57 apply (zenon_L693_); trivial. % 49.38/49.57 apply (zenon_L569_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.57 apply (zenon_L14_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.57 apply (zenon_L581_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.57 apply (zenon_L140_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.57 apply (zenon_L574_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.57 apply (zenon_L25_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.57 apply (zenon_L696_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.57 apply (zenon_L628_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.57 apply (zenon_L636_); trivial. % 49.38/49.57 apply (zenon_L632_); trivial. % 49.38/49.57 apply (zenon_L504_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.38/49.57 apply (zenon_L142_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.38/49.57 apply (zenon_L646_); trivial. % 49.38/49.57 apply (zenon_L649_); trivial. % 49.38/49.57 apply (zenon_L70_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.38/49.57 apply (zenon_L13_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.57 apply (zenon_L20_); trivial. % 49.38/49.57 apply (zenon_L694_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_L664_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.57 apply (zenon_L17_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_L696_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.57 apply (zenon_L544_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.57 apply (zenon_L17_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.57 apply (zenon_L20_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.57 apply (zenon_L142_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.57 apply (zenon_L22_); trivial. % 49.38/49.57 apply (zenon_L695_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_L61_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.38/49.57 apply (zenon_L45_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.57 apply (zenon_L4_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.57 apply (zenon_L6_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.57 apply (zenon_L18_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.57 apply (zenon_L19_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.57 apply (zenon_L20_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.57 apply (zenon_L622_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.57 apply (zenon_L24_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.57 apply (zenon_L692_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.57 apply (zenon_L604_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.57 apply (zenon_L31_); trivial. % 49.38/49.57 apply (zenon_L697_); trivial. % 49.38/49.57 apply (zenon_L43_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.57 apply (zenon_L44_); trivial. % 49.38/49.57 apply (zenon_L679_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.57 apply (zenon_L7_); trivial. % 49.38/49.57 apply (zenon_L8_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.57 apply (zenon_L648_); trivial. % 49.38/49.57 apply (zenon_L63_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ]. % 49.38/49.57 apply (zenon_L622_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ]. % 49.38/49.57 apply (zenon_L642_); trivial. % 49.38/49.57 apply (zenon_L692_); trivial. % 49.38/49.57 apply (zenon_L70_); trivial. % 49.38/49.57 apply (zenon_L550_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.38/49.57 apply (zenon_L110_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.38/49.57 apply (zenon_L111_); trivial. % 49.38/49.57 apply (zenon_L153_); trivial. % 49.38/49.57 (* end of lemma zenon_L698_ *) % 49.38/49.57 assert (zenon_L699_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.38/49.57 do 0 intro. intros zenon_H250 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H39d zenon_H13 zenon_H3b0 zenon_H40a zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.38/49.57 apply (zenon_L698_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.38/49.57 apply (zenon_L435_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.38/49.57 apply (zenon_L183_); trivial. % 49.38/49.57 apply (zenon_L391_); trivial. % 49.38/49.57 (* end of lemma zenon_L699_ *) % 49.38/49.57 assert (zenon_L700_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 49.38/49.57 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H213 zenon_H2fa zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H13 zenon_H39d zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H250 zenon_H225 zenon_H210. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.38/49.57 apply (zenon_L175_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.38/49.57 apply (zenon_L176_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.38/49.57 apply (zenon_L699_); trivial. % 49.38/49.57 apply (zenon_L195_); trivial. % 49.38/49.57 (* end of lemma zenon_L700_ *) % 49.38/49.57 assert (zenon_L701_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.38/49.57 do 0 intro. intros zenon_H2da zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H282 zenon_H25a zenon_H1dd zenon_H2fa zenon_H1f0 zenon_H1da zenon_H1d2 zenon_H20e zenon_H253 zenon_H1d0 zenon_H1fc zenon_H205 zenon_H250 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H37b zenon_H396 zenon_H37f zenon_H387 zenon_H377 zenon_H39d zenon_H13 zenon_H3b0 zenon_H40a zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H210 zenon_H213 zenon_H218 zenon_H225 zenon_H228 zenon_H1e6 zenon_H19e zenon_H241 zenon_H1f5 zenon_H277 zenon_H1ad zenon_H307 zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.38/49.57 apply (zenon_L445_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.38/49.57 apply (zenon_L176_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.38/49.57 apply (zenon_L444_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.38/49.57 apply (zenon_L177_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.38/49.57 apply (zenon_L169_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.38/49.57 apply (zenon_L178_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.38/49.57 apply (zenon_L180_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.38/49.57 apply (zenon_L698_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.38/49.57 apply (zenon_L182_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.38/49.57 apply (zenon_L183_); trivial. % 49.38/49.57 apply (zenon_L191_); trivial. % 49.38/49.57 apply (zenon_L194_); trivial. % 49.38/49.57 apply (zenon_L388_); trivial. % 49.38/49.57 (* end of lemma zenon_L701_ *) % 49.38/49.57 assert (zenon_L702_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False). % 49.38/49.57 do 0 intro. intros zenon_H2db zenon_H1a7 zenon_H1a6 zenon_H2ff zenon_H336 zenon_H33a zenon_H2ce zenon_H307 zenon_H1f5 zenon_H241 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H40a zenon_H3b0 zenon_H13 zenon_H39d zenon_H377 zenon_H387 zenon_H37f zenon_H396 zenon_H37b zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H250 zenon_H1f0 zenon_H2fa zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H2da zenon_H1e1 zenon_H2e6 zenon_H2d9 zenon_H285 zenon_H210 zenon_H274 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H264 zenon_H218 zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H205 zenon_H206 zenon_H253 zenon_H282 zenon_H25a zenon_H1d0 zenon_H1dd zenon_H213 zenon_H19e zenon_H14 zenon_H19b zenon_H1fc. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.38/49.57 apply (zenon_L158_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.38/49.57 apply (zenon_L170_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.38/49.57 apply (zenon_L171_); trivial. % 49.38/49.57 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.38/49.58 apply (zenon_L172_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.38/49.58 apply (zenon_L173_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.38/49.58 apply (zenon_L171_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.38/49.58 apply (zenon_L174_); trivial. % 49.38/49.58 apply (zenon_L701_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.38/49.58 apply (zenon_L196_); trivial. % 49.38/49.58 apply (zenon_L213_); trivial. % 49.38/49.58 (* end of lemma zenon_L702_ *) % 49.38/49.58 assert (zenon_L703_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False). % 49.38/49.58 do 0 intro. intros zenon_H218 zenon_H28a zenon_H242. % 49.38/49.58 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H218. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H28a. % 49.38/49.58 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H249]. % 49.38/49.58 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 49.38/49.58 congruence. % 49.38/49.58 apply zenon_H209. apply refl_equal. % 49.38/49.58 apply zenon_H249. apply sym_equal. exact zenon_H242. % 49.38/49.58 (* end of lemma zenon_L703_ *) % 49.38/49.58 assert (zenon_L704_ : ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e21) = (h3 (op1 (e13) (e11))))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H39a zenon_H94 zenon_H19b zenon_H410. % 49.38/49.58 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H411 | zenon_intro zenon_H412 ]. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((e21) = (h3 (op1 (e13) (e11))))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H410. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H411. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H412]. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H413]. % 49.38/49.58 congruence. % 49.38/49.58 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e11))) = (e21))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H413. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H39a. % 49.38/49.58 cut (((op2 (e22) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 49.38/49.58 cut (((h3 (e11)) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H414]. % 49.38/49.58 congruence. % 49.38/49.58 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H411 | zenon_intro zenon_H412 ]. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((h3 (e11)) = (h3 (op1 (e13) (e11))))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H414. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H411. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H412]. % 49.38/49.58 cut (((h3 (op1 (e13) (e11))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H415]. % 49.38/49.58 congruence. % 49.38/49.58 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H358]. % 49.38/49.58 congruence. % 49.38/49.58 exact (zenon_H358 zenon_H94). % 49.38/49.58 apply zenon_H412. apply refl_equal. % 49.38/49.58 apply zenon_H412. apply refl_equal. % 49.38/49.58 apply zenon_H19c. apply sym_equal. exact zenon_H19b. % 49.38/49.58 apply zenon_H412. apply refl_equal. % 49.38/49.58 apply zenon_H412. apply refl_equal. % 49.38/49.58 (* end of lemma zenon_L704_ *) % 49.38/49.58 assert (zenon_L705_ : ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H94 zenon_H416. % 49.38/49.58 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H417 | zenon_intro zenon_H418 ]. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H416. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H417. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H419]. % 49.38/49.58 congruence. % 49.38/49.58 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H419. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H20e. % 49.38/49.58 cut (((e21) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 49.38/49.58 cut (((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 49.38/49.58 congruence. % 49.38/49.58 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H417 | zenon_intro zenon_H418 ]. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))). % 49.38/49.58 intro zenon_D_pnotp. % 49.38/49.58 apply zenon_H41a. % 49.38/49.58 rewrite <- zenon_D_pnotp. % 49.38/49.58 exact zenon_H417. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 49.38/49.58 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 49.38/49.58 congruence. % 49.38/49.58 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 49.38/49.58 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.38/49.58 congruence. % 49.38/49.58 apply (zenon_L656_); trivial. % 49.38/49.58 apply (zenon_L651_); trivial. % 49.38/49.58 apply zenon_H418. apply refl_equal. % 49.38/49.58 apply zenon_H418. apply refl_equal. % 49.38/49.58 apply (zenon_L704_); trivial. % 49.38/49.58 apply zenon_H418. apply refl_equal. % 49.38/49.58 apply zenon_H418. apply refl_equal. % 49.38/49.58 (* end of lemma zenon_L705_ *) % 49.38/49.58 assert (zenon_L706_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H16c zenon_H58 zenon_H54 zenon_H4f zenon_H60 zenon_H6c zenon_H1f zenon_H20 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.58 apply (zenon_L113_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.58 apply (zenon_L19_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.58 apply (zenon_L22_); trivial. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 (* end of lemma zenon_L706_ *) % 49.38/49.58 assert (zenon_L707_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H16c zenon_H67 zenon_H56 zenon_H4f zenon_H60 zenon_H6c zenon_H1f zenon_H20 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.38/49.58 apply (zenon_L21_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.38/49.58 apply (zenon_L19_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.38/49.58 apply (zenon_L22_); trivial. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 (* end of lemma zenon_L707_ *) % 49.38/49.58 assert (zenon_L708_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.58 apply (zenon_L6_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.58 apply (zenon_L707_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.58 apply (zenon_L44_); trivial. % 49.38/49.58 apply (zenon_L61_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.58 apply (zenon_L7_); trivial. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 (* end of lemma zenon_L708_ *) % 49.38/49.58 assert (zenon_L709_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.38/49.58 do 0 intro. intros zenon_Hd6 zenon_H13a zenon_He0 zenon_H368 zenon_H11b zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_Hfa zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H111 zenon_H36b zenon_H3a zenon_H20 zenon_H180 zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hc7 zenon_Haf. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.58 apply (zenon_L629_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.58 apply (zenon_L604_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.58 apply (zenon_L31_); trivial. % 49.38/49.58 apply (zenon_L39_); trivial. % 49.38/49.58 (* end of lemma zenon_L709_ *) % 49.38/49.58 assert (zenon_L710_ : ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e12))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H72 zenon_H8c zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H2c zenon_H60 zenon_H82 zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_H99 zenon_H9e zenon_Hae zenon_H6c zenon_H1f zenon_Hc7 zenon_Hfd zenon_H13f zenon_H126 zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H155 zenon_H10b zenon_Hf7 zenon_H108 zenon_H63 zenon_H7b zenon_H18d zenon_H154 zenon_H96. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.58 apply (zenon_L18_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.58 apply (zenon_L19_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.58 apply (zenon_L23_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.58 apply (zenon_L24_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L706_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L68_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L66_); trivial. % 49.38/49.58 apply (zenon_L51_); trivial. % 49.38/49.58 apply (zenon_L635_); trivial. % 49.38/49.58 apply (zenon_L569_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.58 apply (zenon_L23_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.58 apply (zenon_L24_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L574_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.58 apply (zenon_L708_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L68_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L709_); trivial. % 49.38/49.58 apply (zenon_L51_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.58 apply (zenon_L88_); trivial. % 49.38/49.58 apply (zenon_L630_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.58 apply (zenon_L707_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.58 apply (zenon_L638_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.58 apply (zenon_L636_); trivial. % 49.38/49.58 apply (zenon_L640_); trivial. % 49.38/49.58 apply (zenon_L43_); trivial. % 49.38/49.58 (* end of lemma zenon_L710_ *) % 49.38/49.58 assert (zenon_L711_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e12))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H64 zenon_H35a zenon_H38e zenon_H9b zenon_Hbe zenon_Hde zenon_H57 zenon_H12b zenon_H72 zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H2c zenon_H60 zenon_H82 zenon_Hd6 zenon_H3a zenon_H13a zenon_H122 zenon_H18 zenon_H377 zenon_H365 zenon_He0 zenon_H368 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H113 zenon_H58 zenon_H33 zenon_H161 zenon_H151 zenon_H146 zenon_H180 zenon_H353 zenon_H35d zenon_H190 zenon_H4e zenon_H4f zenon_H160 zenon_H117 zenon_H11e zenon_H76 zenon_H15f zenon_H187 zenon_H135 zenon_H2d zenon_H11d zenon_H23 zenon_H40 zenon_H36b zenon_H111 zenon_H99 zenon_H9e zenon_Hae zenon_H6c zenon_H1f zenon_Hc7 zenon_Hfd zenon_H13f zenon_H126 zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H155 zenon_H10b zenon_Hf7 zenon_H108 zenon_H63 zenon_H7b zenon_H18d zenon_H154 zenon_H96. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L66_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.58 apply (zenon_L590_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.58 apply (zenon_L67_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.38/49.58 apply (zenon_L135_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.38/49.58 apply (zenon_L77_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.38/49.58 apply (zenon_L560_); trivial. % 49.38/49.58 apply (zenon_L710_); trivial. % 49.38/49.58 (* end of lemma zenon_L711_ *) % 49.38/49.58 assert (zenon_L712_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H15f zenon_H4f zenon_H8c zenon_Hfa zenon_H8b zenon_Hd9 zenon_H126 zenon_H82 zenon_H99 zenon_He0 zenon_H108 zenon_H36b zenon_H111 zenon_H40 zenon_Hc7 zenon_H11d zenon_H2d zenon_H135 zenon_H187 zenon_H35d zenon_H117 zenon_H353 zenon_H180 zenon_H151 zenon_H37b zenon_H19 zenon_H4a zenon_H73 zenon_H23 zenon_H190 zenon_H33 zenon_H4e zenon_H58 zenon_H113 zenon_Hea zenon_H37f zenon_H387 zenon_H146 zenon_H185 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H182 zenon_H13a zenon_Hfd zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H7b zenon_H154 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H96 zenon_H63 zenon_He4 zenon_H60 zenon_H76 zenon_H160 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.58 apply (zenon_L18_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.58 apply (zenon_L19_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L113_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L69_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L66_); trivial. % 49.38/49.58 apply (zenon_L572_); trivial. % 49.38/49.58 apply (zenon_L573_); trivial. % 49.38/49.58 apply (zenon_L555_); trivial. % 49.38/49.58 (* end of lemma zenon_L712_ *) % 49.38/49.58 assert (zenon_L713_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H15f zenon_H8c zenon_Hfa zenon_H8b zenon_H24 zenon_H20 zenon_Hd9 zenon_H111 zenon_H126 zenon_H122 zenon_H58 zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_H1f zenon_Hae zenon_H33 zenon_Hfd zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H7b zenon_H16c zenon_H60 zenon_H154 zenon_He7 zenon_H4f. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.38/49.58 apply (zenon_L18_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.38/49.58 apply (zenon_L19_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L706_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L69_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L705_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L66_); trivial. % 49.38/49.58 apply (zenon_L570_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.38/49.58 apply (zenon_L7_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L69_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.38/49.58 apply (zenon_L42_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L491_); trivial. % 49.38/49.58 apply (zenon_L570_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_L54_); trivial. % 49.38/49.58 apply (zenon_L47_); trivial. % 49.38/49.58 (* end of lemma zenon_L713_ *) % 49.38/49.58 assert (zenon_L714_ : (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H2d zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H18e zenon_H6c zenon_Hae zenon_H7b zenon_Hfd zenon_H18d zenon_Hfa zenon_H154 zenon_H187 zenon_H15f zenon_H58 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H16c zenon_H4e zenon_H190 zenon_H160 zenon_H96 zenon_H18 zenon_H377 zenon_H365 zenon_H13a zenon_H182 zenon_H146 zenon_H113 zenon_H23 zenon_H4a zenon_H19 zenon_H37b zenon_H151 zenon_H180 zenon_H353 zenon_H117 zenon_H35d zenon_H135 zenon_H11d zenon_Hc7 zenon_H40 zenon_H36b zenon_H76 zenon_H387 zenon_H37f zenon_Hea zenon_H185 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.58 apply (zenon_L113_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.58 apply (zenon_L69_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.58 apply (zenon_L6_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.38/49.58 apply (zenon_L712_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.38/49.58 apply (zenon_L24_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.38/49.58 apply (zenon_L490_); trivial. % 49.38/49.58 apply (zenon_L569_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.58 apply (zenon_L44_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.58 apply (zenon_L14_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.58 apply (zenon_L713_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.58 apply (zenon_L140_); trivial. % 49.38/49.58 apply (zenon_L578_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.58 apply (zenon_L7_); trivial. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 (* end of lemma zenon_L714_ *) % 49.38/49.58 assert (zenon_L715_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((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)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H151 zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H185 zenon_H135 zenon_H15a zenon_H18d zenon_H40 zenon_H23 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H16c zenon_H67 zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.58 apply (zenon_L6_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.58 apply (zenon_L707_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.58 apply (zenon_L44_); trivial. % 49.38/49.58 apply (zenon_L664_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.58 apply (zenon_L7_); trivial. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.38/49.58 apply (zenon_L17_); trivial. % 49.38/49.58 apply (zenon_L708_); trivial. % 49.38/49.58 (* end of lemma zenon_L715_ *) % 49.38/49.58 assert (zenon_L716_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 49.38/49.58 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H2d zenon_H18b zenon_Hf3 zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H368 zenon_H11b zenon_H369. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.38/49.58 apply (zenon_L504_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.38/49.58 apply (zenon_L570_); trivial. % 49.38/49.58 apply (zenon_L600_); trivial. % 49.38/49.58 (* end of lemma zenon_L716_ *) % 49.38/49.58 assert (zenon_L717_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H365 zenon_H18b zenon_H122 zenon_H95 zenon_H180 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H91 | zenon_intro zenon_H366 ]. % 49.38/49.58 apply (zenon_L141_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H121 | zenon_intro zenon_H367 ]. % 49.38/49.58 apply (zenon_L70_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H92 | zenon_intro zenon_H39 ]. % 49.38/49.58 apply (zenon_L603_); trivial. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 (* end of lemma zenon_L717_ *) % 49.38/49.58 assert (zenon_L718_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H57 zenon_H11d zenon_H36b zenon_H117 zenon_Hbe zenon_H6c zenon_He7 zenon_H9e zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H8b zenon_H38e zenon_H8c zenon_H18e zenon_Hae zenon_Hf3 zenon_H2d zenon_H135 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.38/49.58 apply (zenon_L647_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.38/49.58 apply (zenon_L505_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.38/49.58 apply (zenon_L716_); trivial. % 49.38/49.58 apply (zenon_L507_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.38/49.58 apply (zenon_L717_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.38/49.58 apply (zenon_L627_); trivial. % 49.38/49.58 apply (zenon_L508_); trivial. % 49.38/49.58 (* end of lemma zenon_L718_ *) % 49.38/49.58 assert (zenon_L719_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_Hf7 zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H9a zenon_H58 zenon_H155 zenon_Hd6 zenon_H368 zenon_H11b zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H4f zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H57 zenon_H11d zenon_H36b zenon_H117 zenon_Hbe zenon_H6c zenon_He7 zenon_H9e zenon_H387 zenon_H37f zenon_Hea zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H8b zenon_H38e zenon_H8c zenon_H18e zenon_Hae zenon_H2d zenon_H135 zenon_H365 zenon_H18b zenon_H180 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.38/49.58 apply (zenon_L538_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.38/49.58 apply (zenon_L47_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.38/49.58 apply (zenon_L48_); trivial. % 49.38/49.58 apply (zenon_L718_); trivial. % 49.38/49.58 (* end of lemma zenon_L719_ *) % 49.38/49.58 assert (zenon_L720_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H154 zenon_H18d zenon_H7b zenon_Hae zenon_H24 zenon_H1f zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H20 zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H8b zenon_H82 zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H155 zenon_Hd6 zenon_H368 zenon_H76 zenon_H190 zenon_H19 zenon_H18 zenon_H160 zenon_H72 zenon_H23 zenon_H99 zenon_H11e zenon_H33 zenon_H15f zenon_H187 zenon_H11d zenon_H36b zenon_H117 zenon_H387 zenon_H37f zenon_Hfa zenon_H2c zenon_Hc7 zenon_H12b zenon_H38e zenon_H18e zenon_H135 zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_Hfd zenon_H18b zenon_H2d. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L574_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.38/49.58 apply (zenon_L55_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.38/49.58 apply (zenon_L580_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.38/49.58 apply (zenon_L88_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.38/49.58 apply (zenon_L719_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.38/49.58 apply (zenon_L26_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.38/49.58 apply (zenon_L28_); trivial. % 49.38/49.58 apply (zenon_L52_); trivial. % 49.38/49.58 apply (zenon_L504_); trivial. % 49.38/49.58 (* end of lemma zenon_L720_ *) % 49.38/49.58 assert (zenon_L721_ : (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e21)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((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) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_H2d zenon_H37b zenon_H4a zenon_H182 zenon_H377 zenon_H4e zenon_H20e zenon_H39d zenon_H19e zenon_H39a zenon_H19b zenon_H416 zenon_Hf7 zenon_H58 zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H35d zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H18 zenon_H19 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_H135 zenon_Hae zenon_H18e zenon_H8c zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_H13a zenon_H6c zenon_H117 zenon_H16a zenon_H43 zenon_H16b zenon_H67 zenon_H15e zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.38/49.58 apply (zenon_L4_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.38/49.58 apply (zenon_L6_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.38/49.58 apply (zenon_L710_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.38/49.58 apply (zenon_L44_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.38/49.58 apply (zenon_L110_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.38/49.58 apply (zenon_L581_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.38/49.58 apply (zenon_L140_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.38/49.58 apply (zenon_L113_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.38/49.58 apply (zenon_L25_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.38/49.58 apply (zenon_L714_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.38/49.58 apply (zenon_L720_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.38/49.58 apply (zenon_L59_); trivial. % 49.38/49.58 apply (zenon_L631_); trivial. % 49.38/49.58 apply (zenon_L504_); trivial. % 49.38/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.38/49.58 apply (zenon_L7_); trivial. % 49.38/49.58 apply (zenon_L8_); trivial. % 49.38/49.58 (* end of lemma zenon_L721_ *) % 49.38/49.58 assert (zenon_L722_ : ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (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 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.38/49.58 do 0 intro. intros zenon_Hdc zenon_H15e zenon_H67 zenon_H16b zenon_H43 zenon_H16a zenon_H387 zenon_H37f zenon_H173 zenon_H36e zenon_H180 zenon_H19 zenon_H40 zenon_H187 zenon_H362 zenon_H190 zenon_H161 zenon_H113 zenon_H13f zenon_H368 zenon_H36b zenon_H142 zenon_Hf7 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H4e zenon_H182 zenon_H4a zenon_H37b zenon_H2d zenon_Hfa zenon_H15f zenon_H58 zenon_H10b zenon_H11e zenon_H63 zenon_H9e zenon_H126 zenon_H12b zenon_H6c zenon_H117 zenon_H7b zenon_H155 zenon_H360 zenon_H108 zenon_He0 zenon_H82 zenon_H185 zenon_Hd9 zenon_H18d zenon_H16c zenon_Hfd zenon_H151 zenon_H146 zenon_H18e zenon_H33 zenon_H60 zenon_H353 zenon_Hae zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_Hc7 zenon_H35d zenon_Hea zenon_H154 zenon_H23 zenon_H72 zenon_H160 zenon_H8b zenon_H38e zenon_Hab zenon_H15a zenon_H89 zenon_H11d zenon_H57 zenon_H111 zenon_H135 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.58 apply (zenon_L552_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.58 apply (zenon_L504_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.58 apply (zenon_L65_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.58 apply (zenon_L606_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.58 apply (zenon_L43_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.46/49.58 apply (zenon_L721_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.46/49.58 apply (zenon_L93_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.46/49.58 apply (zenon_L610_); trivial. % 49.46/49.58 apply (zenon_L104_); trivial. % 49.46/49.58 apply (zenon_L571_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.58 apply (zenon_L617_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.58 apply (zenon_L31_); trivial. % 49.46/49.58 apply (zenon_L571_); trivial. % 49.46/49.58 (* end of lemma zenon_L722_ *) % 49.46/49.58 assert (zenon_L723_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.58 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H20e zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.46/49.58 apply (zenon_L13_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.46/49.58 apply (zenon_L13_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.46/49.58 apply (zenon_L18_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.58 apply (zenon_L4_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.58 apply (zenon_L113_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.58 apply (zenon_L4_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.58 apply (zenon_L6_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.58 apply (zenon_L18_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.58 apply (zenon_L19_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.58 apply (zenon_L23_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.58 apply (zenon_L24_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.58 apply (zenon_L68_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.58 apply (zenon_L706_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.58 apply (zenon_L25_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.58 apply (zenon_L69_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.58 apply (zenon_L68_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.58 apply (zenon_L57_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.58 apply (zenon_L552_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.58 apply (zenon_L137_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.58 apply (zenon_L586_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.58 apply (zenon_L557_); trivial. % 49.46/49.58 apply (zenon_L711_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.58 apply (zenon_L65_); trivial. % 49.46/49.58 apply (zenon_L711_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.58 apply (zenon_L714_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.58 apply (zenon_L68_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.58 apply (zenon_L57_); trivial. % 49.46/49.58 apply (zenon_L597_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.58 apply (zenon_L23_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.58 apply (zenon_L24_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.58 apply (zenon_L113_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.58 apply (zenon_L25_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.58 apply (zenon_L615_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.58 apply (zenon_L715_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.58 apply (zenon_L68_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.58 apply (zenon_L7_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.58 apply (zenon_L88_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.58 apply (zenon_L722_); trivial. % 49.46/49.58 apply (zenon_L619_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.58 apply (zenon_L7_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.58 apply (zenon_L552_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.58 apply (zenon_L504_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.58 apply (zenon_L65_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.58 apply (zenon_L606_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.58 apply (zenon_L43_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.58 apply (zenon_L612_); trivial. % 49.46/49.58 apply (zenon_L571_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.58 apply (zenon_L89_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.58 apply (zenon_L31_); trivial. % 49.46/49.58 apply (zenon_L571_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.58 apply (zenon_L722_); trivial. % 49.46/49.58 apply (zenon_L619_); trivial. % 49.46/49.58 apply (zenon_L43_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.58 apply (zenon_L44_); trivial. % 49.46/49.58 apply (zenon_L621_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.58 apply (zenon_L7_); trivial. % 49.46/49.58 apply (zenon_L8_); trivial. % 49.46/49.58 apply (zenon_L721_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.46/49.58 apply (zenon_L142_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.46/49.58 apply (zenon_L714_); trivial. % 49.46/49.58 apply (zenon_L649_); trivial. % 49.46/49.58 apply (zenon_L70_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.46/49.58 apply (zenon_L13_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.46/49.58 apply (zenon_L18_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.46/49.58 apply (zenon_L715_); trivial. % 49.46/49.58 apply (zenon_L70_); trivial. % 49.46/49.58 apply (zenon_L550_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.46/49.58 apply (zenon_L110_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.46/49.58 apply (zenon_L111_); trivial. % 49.46/49.58 apply (zenon_L153_); trivial. % 49.46/49.58 (* end of lemma zenon_L723_ *) % 49.46/49.58 assert (zenon_L724_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.58 do 0 intro. intros zenon_H2e6 zenon_H1d2 zenon_H1ce zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H14 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.46/49.58 apply (zenon_L265_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.46/49.58 apply (zenon_L171_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.46/49.58 apply (zenon_L174_); trivial. % 49.46/49.58 apply (zenon_L723_); trivial. % 49.46/49.58 (* end of lemma zenon_L724_ *) % 49.46/49.58 assert (zenon_L725_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e21) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.46/49.58 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H2cb zenon_H203 zenon_H205 zenon_H2c0 zenon_H256 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H1d1 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.46/49.58 apply (zenon_L382_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.46/49.58 apply (zenon_L418_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.46/49.58 apply (zenon_L217_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.46/49.58 apply (zenon_L180_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.46/49.58 apply (zenon_L245_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.46/49.58 apply (zenon_L407_); trivial. % 49.46/49.58 apply (zenon_L402_); trivial. % 49.46/49.58 (* end of lemma zenon_L725_ *) % 49.46/49.58 assert (zenon_L726_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.46/49.58 do 0 intro. intros zenon_H2d9 zenon_H274 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H264 zenon_H14 zenon_H19e zenon_H2fa zenon_H218 zenon_H342 zenon_H213 zenon_H1d2 zenon_H19b zenon_H29c zenon_H2a0 zenon_H291 zenon_H1a7 zenon_H194 zenon_H331 zenon_H317 zenon_H1b4 zenon_H2af zenon_H2cb zenon_H205 zenon_H2c0 zenon_H33a zenon_H336 zenon_H28a zenon_H1a6 zenon_H241 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H28b zenon_H277 zenon_H1dd zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H261 zenon_H1c9. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.46/49.58 apply (zenon_L170_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.46/49.58 apply (zenon_L171_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.58 apply (zenon_L724_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.58 apply (zenon_L177_); trivial. % 49.46/49.58 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.46/49.59 apply (zenon_L220_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.46/49.59 apply (zenon_L209_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.46/49.59 apply (zenon_L382_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.46/49.59 apply (zenon_L404_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.46/49.59 apply (zenon_L217_); trivial. % 49.46/49.59 apply (zenon_L423_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.46/49.59 apply (zenon_L220_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.46/49.59 apply (zenon_L209_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.46/49.59 apply (zenon_L159_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.46/49.59 apply (zenon_L382_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.46/49.59 apply (zenon_L404_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.46/49.59 apply (zenon_L217_); trivial. % 49.46/49.59 apply (zenon_L422_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.46/49.59 apply (zenon_L725_); trivial. % 49.46/49.59 apply (zenon_L416_); trivial. % 49.46/49.59 apply (zenon_L199_); trivial. % 49.46/49.59 (* end of lemma zenon_L726_ *) % 49.46/49.59 assert (zenon_L727_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False). % 49.46/49.59 do 0 intro. intros zenon_H28d zenon_H1c8 zenon_H1b4 zenon_H19b zenon_H14 zenon_H19e zenon_H1ad zenon_H2db zenon_H25a zenon_H30a zenon_H19d zenon_H1ed zenon_H1c4 zenon_H195 zenon_H34b zenon_H1c9 zenon_H2ce zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e6 zenon_H1f5 zenon_H285 zenon_H298 zenon_H1dd zenon_H277 zenon_H2a5 zenon_H2b4 zenon_H1e6 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H213 zenon_H342 zenon_H218 zenon_H2fa zenon_H30d zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H1ba zenon_H28a zenon_H28b. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.46/49.59 apply (zenon_L156_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.46/49.59 apply (zenon_L265_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.59 apply (zenon_L156_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.59 apply (zenon_L158_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.59 apply (zenon_L473_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.59 apply (zenon_L196_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.46/49.59 apply (zenon_L465_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.46/49.59 apply (zenon_L726_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.46/49.59 apply (zenon_L292_); trivial. % 49.46/49.59 apply (zenon_L418_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.59 apply (zenon_L159_); trivial. % 49.46/49.59 apply (zenon_L160_); trivial. % 49.46/49.59 apply (zenon_L215_); trivial. % 49.46/49.59 (* end of lemma zenon_L727_ *) % 49.46/49.59 assert (zenon_L728_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.59 do 0 intro. intros zenon_H325 zenon_H28b zenon_H1ba zenon_H241 zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H30d zenon_H2fa zenon_H342 zenon_H213 zenon_H1d2 zenon_H2a0 zenon_H291 zenon_H317 zenon_H2cb zenon_H205 zenon_H2a5 zenon_H277 zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H1c9 zenon_H34b zenon_H195 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H30a zenon_H25a zenon_H2db zenon_H1ad zenon_H1c8 zenon_H28d zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H238 zenon_H228 zenon_H26d zenon_H229 zenon_H2fc zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.46/49.59 apply (zenon_L727_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.46/49.59 apply (zenon_L388_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.46/49.59 apply (zenon_L390_); trivial. % 49.46/49.59 apply (zenon_L391_); trivial. % 49.46/49.59 (* end of lemma zenon_L728_ *) % 49.46/49.59 assert (zenon_L729_ : ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.59 do 0 intro. intros zenon_H206 zenon_H274 zenon_H205 zenon_H253 zenon_H1fc zenon_H282 zenon_H325 zenon_H28b zenon_H1ba zenon_H241 zenon_H297 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H30d zenon_H2fa zenon_H342 zenon_H213 zenon_H1d2 zenon_H2a0 zenon_H291 zenon_H317 zenon_H2cb zenon_H2a5 zenon_H277 zenon_H298 zenon_H285 zenon_H1f5 zenon_H2e6 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H2ce zenon_H1c9 zenon_H34b zenon_H195 zenon_H1c4 zenon_H1ed zenon_H19d zenon_H30a zenon_H25a zenon_H2db zenon_H1ad zenon_H1c8 zenon_H28d zenon_H264 zenon_H336 zenon_H33a zenon_H2c0 zenon_H2ff zenon_H218 zenon_H308 zenon_H1e6 zenon_H228 zenon_H2fc zenon_H2b4 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H210 zenon_H1dd zenon_H25e zenon_H1da zenon_H1f0 zenon_H2da zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.46/49.59 apply (zenon_L170_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.46/49.59 apply (zenon_L171_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.59 apply (zenon_L265_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.59 apply (zenon_L177_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.59 apply (zenon_L178_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.59 apply (zenon_L180_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.59 apply (zenon_L222_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.59 apply (zenon_L723_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.59 apply (zenon_L218_); trivial. % 49.46/49.59 apply (zenon_L728_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.46/49.59 apply (zenon_L159_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.59 apply (zenon_L178_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.59 apply (zenon_L180_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.59 apply (zenon_L222_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.59 apply (zenon_L194_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.59 apply (zenon_L322_); trivial. % 49.46/49.59 apply (zenon_L728_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.46/49.59 apply (zenon_L180_); trivial. % 49.46/49.59 apply (zenon_L206_); trivial. % 49.46/49.59 apply (zenon_L385_); trivial. % 49.46/49.59 (* end of lemma zenon_L729_ *) % 49.46/49.59 assert (zenon_L730_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 49.46/49.59 do 0 intro. intros zenon_H2d9 zenon_H206 zenon_H274 zenon_H205 zenon_H19e zenon_H19b zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H213 zenon_H218 zenon_H308 zenon_H1e6 zenon_H14 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1dd zenon_H25a zenon_H282 zenon_H1f5 zenon_H2e6 zenon_H1da zenon_H2ce zenon_H261 zenon_H1c9. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.46/49.59 apply (zenon_L170_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.46/49.59 apply (zenon_L171_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.59 apply (zenon_L724_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.59 apply (zenon_L177_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.59 apply (zenon_L178_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.59 apply (zenon_L180_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.59 apply (zenon_L222_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.59 apply (zenon_L723_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.59 apply (zenon_L322_); trivial. % 49.46/49.59 apply (zenon_L389_); trivial. % 49.46/49.59 apply (zenon_L467_); trivial. % 49.46/49.59 apply (zenon_L199_); trivial. % 49.46/49.59 (* end of lemma zenon_L730_ *) % 49.46/49.59 assert (zenon_L731_ : (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.59 do 0 intro. intros zenon_H1a7 zenon_H2cf zenon_H210 zenon_H228 zenon_H1e6 zenon_H308 zenon_H218 zenon_H1c9 zenon_H29c zenon_H2a0 zenon_H205 zenon_H28b zenon_H253 zenon_H2b9 zenon_H282 zenon_H25a zenon_H213 zenon_H25e zenon_H1dd zenon_H1fc zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H301 zenon_H2d9 zenon_H274 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e6 zenon_H194 zenon_H195 zenon_H30a zenon_H2da zenon_H331 zenon_H31f zenon_H2b4 zenon_H2fc zenon_H2c0 zenon_H28d zenon_H2db zenon_H19d zenon_H1c4 zenon_H34b zenon_H285 zenon_H298 zenon_H2a5 zenon_H2cb zenon_H317 zenon_H291 zenon_H342 zenon_H2fa zenon_H30d zenon_H2af zenon_H297 zenon_H241 zenon_H1ba zenon_H325 zenon_H1f0 zenon_H33a zenon_H336 zenon_H264 zenon_H2ff zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.46/49.59 apply (zenon_L156_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.46/49.59 apply (zenon_L265_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.46/49.59 apply (zenon_L221_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.59 apply (zenon_L156_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.59 apply (zenon_L158_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.46/49.59 apply (zenon_L729_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.46/49.59 apply (zenon_L176_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.46/49.59 apply (zenon_L321_); trivial. % 49.46/49.59 apply (zenon_L388_); trivial. % 49.46/49.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.60 apply (zenon_L196_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.46/49.60 apply (zenon_L154_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.46/49.60 apply (zenon_L730_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.46/49.60 apply (zenon_L292_); trivial. % 49.46/49.60 apply (zenon_L398_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.60 apply (zenon_L159_); trivial. % 49.46/49.60 apply (zenon_L160_); trivial. % 49.46/49.60 (* end of lemma zenon_L731_ *) % 49.46/49.60 assert (zenon_L732_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.46/49.60 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.46/49.60 apply (zenon_L175_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.46/49.60 apply (zenon_L176_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.60 apply (zenon_L724_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.60 apply (zenon_L177_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.60 apply (zenon_L220_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.60 apply (zenon_L178_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.60 apply (zenon_L180_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.60 apply (zenon_L222_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.60 apply (zenon_L723_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.60 apply (zenon_L218_); trivial. % 49.46/49.60 apply (zenon_L203_); trivial. % 49.46/49.60 apply (zenon_L457_); trivial. % 49.46/49.60 apply (zenon_L388_); trivial. % 49.46/49.60 (* end of lemma zenon_L732_ *) % 49.46/49.60 assert (zenon_L733_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.60 do 0 intro. intros zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H26d zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.46/49.60 apply (zenon_L287_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.46/49.60 apply (zenon_L223_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.46/49.60 apply (zenon_L402_); trivial. % 49.46/49.60 apply (zenon_L732_); trivial. % 49.46/49.60 (* end of lemma zenon_L733_ *) % 49.46/49.60 assert (zenon_L734_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.60 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H2fa zenon_H314 zenon_H256 zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H26d zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.46/49.60 apply (zenon_L732_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.46/49.60 apply (zenon_L245_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.46/49.60 apply (zenon_L408_); trivial. % 49.46/49.60 apply (zenon_L733_); trivial. % 49.46/49.60 (* end of lemma zenon_L734_ *) % 49.46/49.60 assert (zenon_L735_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.60 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H314 zenon_H2fa zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H215 zenon_H238 zenon_H258 zenon_H1d1 zenon_H2b4 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H205 zenon_H19e zenon_H253 zenon_H297 zenon_H291 zenon_H298 zenon_H1fc zenon_H2a0 zenon_H29c zenon_H1d2 zenon_H1de zenon_H213 zenon_H218 zenon_H25a zenon_H1e6 zenon_H228 zenon_H1ad zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1f5 zenon_H2e6 zenon_H1c9 zenon_H1da zenon_H2ce zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.60 apply (zenon_L222_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.60 apply (zenon_L723_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.60 apply (zenon_L218_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.46/49.60 apply (zenon_L160_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.46/49.60 apply (zenon_L734_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.46/49.60 apply (zenon_L219_); trivial. % 49.46/49.60 apply (zenon_L733_); trivial. % 49.46/49.60 (* end of lemma zenon_L735_ *) % 49.46/49.60 assert (zenon_L736_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.60 do 0 intro. intros zenon_H2e6 zenon_H1e1 zenon_H1d0 zenon_H1c9 zenon_H1da zenon_H1e6 zenon_H14 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H19b zenon_H39a zenon_H19e zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.46/49.60 apply (zenon_L173_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.46/49.60 apply (zenon_L171_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.46/49.60 apply (zenon_L174_); trivial. % 49.46/49.60 apply (zenon_L723_); trivial. % 49.46/49.60 (* end of lemma zenon_L736_ *) % 49.46/49.60 assert (zenon_L737_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.60 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2e6 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.60 apply (zenon_L156_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.60 apply (zenon_L158_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.60 apply (zenon_L736_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.60 apply (zenon_L196_); trivial. % 49.46/49.60 apply (zenon_L213_); trivial. % 49.46/49.60 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.60 apply (zenon_L159_); trivial. % 49.46/49.60 apply (zenon_L160_); trivial. % 49.46/49.60 (* end of lemma zenon_L737_ *) % 49.46/49.61 assert (zenon_L738_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H28b zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2cb zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H2ff zenon_H2af zenon_H2d4 zenon_H307 zenon_H1ba zenon_H19d zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2e6 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.46/49.61 apply (zenon_L156_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.61 apply (zenon_L156_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.61 apply (zenon_L158_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.61 apply (zenon_L736_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.61 apply (zenon_L196_); trivial. % 49.46/49.61 apply (zenon_L673_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.61 apply (zenon_L159_); trivial. % 49.46/49.61 apply (zenon_L160_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.46/49.61 apply (zenon_L169_); trivial. % 49.46/49.61 apply (zenon_L737_); trivial. % 49.46/49.61 (* end of lemma zenon_L738_ *) % 49.46/49.61 assert (zenon_L739_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 49.46/49.61 do 0 intro. intros zenon_H250 zenon_H2b4 zenon_H25a zenon_H322 zenon_H295 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H19d zenon_H1ba zenon_H28b zenon_H325 zenon_H1b4 zenon_H19b zenon_H2fa zenon_H29c zenon_H194 zenon_H331 zenon_H31f zenon_H214 zenon_H213 zenon_H218 zenon_H206 zenon_H225 zenon_H228 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H241 zenon_H229. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.46/49.61 apply (zenon_L430_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.46/49.61 apply (zenon_L435_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.46/49.61 apply (zenon_L183_); trivial. % 49.46/49.61 apply (zenon_L191_); trivial. % 49.46/49.61 (* end of lemma zenon_L739_ *) % 49.46/49.61 assert (zenon_L740_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H250 zenon_H218 zenon_H206 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H225 zenon_H210 zenon_H28d zenon_H1d2 zenon_H1ad zenon_H2db zenon_H2cb zenon_H2c0 zenon_H30d zenon_H317 zenon_H30a zenon_H1c8 zenon_H1c9 zenon_H2da zenon_H291 zenon_H298 zenon_H1f0 zenon_H2d9 zenon_H301 zenon_H2af zenon_H1a7 zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H241 zenon_H19d zenon_H1ba zenon_H28b zenon_H325 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.46/49.61 apply (zenon_L430_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.46/49.61 apply (zenon_L435_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.46/49.61 apply (zenon_L183_); trivial. % 49.46/49.61 apply (zenon_L391_); trivial. % 49.46/49.61 (* end of lemma zenon_L740_ *) % 49.46/49.61 assert (zenon_L741_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H228 zenon_H19e zenon_H14 zenon_H1e6 zenon_H214 zenon_H25a zenon_H206 zenon_H218 zenon_H19b zenon_H264 zenon_H261 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H205 zenon_H1fc zenon_H33a zenon_H336 zenon_H274 zenon_H1c8 zenon_H331 zenon_H291 zenon_H308 zenon_H2af zenon_H2d8 zenon_H2da zenon_H194 zenon_H195 zenon_H328 zenon_H2ed zenon_H285 zenon_H2bc zenon_H2ce zenon_H1f5 zenon_H322 zenon_H325 zenon_H2b9 zenon_H298 zenon_H297 zenon_H2fc zenon_H28b zenon_H1ba zenon_H19d zenon_H1dd zenon_H213 zenon_H282 zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H277 zenon_H307 zenon_H2d4 zenon_H2cb zenon_H2c0 zenon_H253 zenon_H2ff zenon_H317 zenon_H241 zenon_H31c zenon_H2a5 zenon_H1f0 zenon_H250 zenon_H30d zenon_H30a zenon_H2d9 zenon_H2db zenon_H1ad zenon_H28d zenon_H210 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H305 zenon_H1a7. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.61 apply (zenon_L444_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.61 apply (zenon_L177_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.46/49.61 apply (zenon_L207_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.46/49.61 apply (zenon_L450_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.46/49.61 apply (zenon_L240_); trivial. % 49.46/49.61 apply (zenon_L453_); trivial. % 49.46/49.61 apply (zenon_L335_); trivial. % 49.46/49.61 (* end of lemma zenon_L741_ *) % 49.46/49.61 assert (zenon_L742_ : (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H1a7 zenon_H342 zenon_H34b zenon_H1c4 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H416 zenon_H39a zenon_H39d zenon_H37f zenon_H387 zenon_H37b zenon_H377 zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H331 zenon_H1c8 zenon_H274 zenon_H336 zenon_H33a zenon_H271 zenon_H210 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H2b4 zenon_H1e6 zenon_H291 zenon_H1ec zenon_H1e1 zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.61 apply (zenon_L156_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.61 apply (zenon_L158_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.46/49.61 apply (zenon_L170_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.46/49.61 apply (zenon_L171_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.46/49.61 apply (zenon_L732_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.46/49.61 apply (zenon_L175_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.46/49.61 apply (zenon_L176_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.61 apply (zenon_L444_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.61 apply (zenon_L177_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.46/49.61 apply (zenon_L737_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.61 apply (zenon_L220_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.61 apply (zenon_L178_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.61 apply (zenon_L180_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.61 apply (zenon_L222_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.61 apply (zenon_L723_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.61 apply (zenon_L739_); trivial. % 49.46/49.61 apply (zenon_L203_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.46/49.61 apply (zenon_L240_); trivial. % 49.46/49.61 apply (zenon_L740_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.46/49.61 apply (zenon_L736_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.46/49.61 apply (zenon_L459_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.46/49.61 apply (zenon_L460_); trivial. % 49.46/49.61 apply (zenon_L463_); trivial. % 49.46/49.61 apply (zenon_L388_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.61 apply (zenon_L196_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.46/49.61 apply (zenon_L166_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.46/49.61 apply (zenon_L395_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.46/49.61 apply (zenon_L292_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.46/49.61 apply (zenon_L265_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.46/49.61 apply (zenon_L177_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.46/49.61 apply (zenon_L731_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.46/49.61 apply (zenon_L741_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.46/49.61 apply (zenon_L211_); trivial. % 49.46/49.61 apply (zenon_L452_); trivial. % 49.46/49.61 apply (zenon_L335_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.61 apply (zenon_L159_); trivial. % 49.46/49.61 apply (zenon_L160_); trivial. % 49.46/49.61 (* end of lemma zenon_L742_ *) % 49.46/49.61 assert (zenon_L743_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H1e1 zenon_H2b4 zenon_H2d8 zenon_H194 zenon_H195 zenon_H31f zenon_H328 zenon_H2ed zenon_H2bc zenon_H322 zenon_H325 zenon_H2b9 zenon_H2fc zenon_H1ba zenon_H31c zenon_H28d zenon_H271 zenon_H331 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H377 zenon_H37b zenon_H387 zenon_H37f zenon_H39d zenon_H39a zenon_H416 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H1c4 zenon_H34b zenon_H297 zenon_H1d1 zenon_H14 zenon_H264 zenon_H214 zenon_H25a zenon_H241 zenon_H213 zenon_H256 zenon_H28b zenon_H342 zenon_H205 zenon_H1ec zenon_H19d zenon_H2ce zenon_H210 zenon_H250 zenon_H228 zenon_H1da zenon_H308 zenon_H277 zenon_H2e6 zenon_H307 zenon_H253 zenon_H2ff zenon_H1fc zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H1e6 zenon_H2a5 zenon_H2a0 zenon_H29c zenon_H218 zenon_H1dd zenon_H285 zenon_H1d2 zenon_H1a6 zenon_H336 zenon_H33a zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1ad zenon_H1f0 zenon_H298 zenon_H291 zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H317 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H2db zenon_H274 zenon_H19e zenon_H203 zenon_H19b zenon_H2d4. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.46/49.61 apply (zenon_L382_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.46/49.61 apply (zenon_L335_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.46/49.61 apply (zenon_L217_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.46/49.61 apply (zenon_L742_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.46/49.61 apply (zenon_L245_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.46/49.61 apply (zenon_L439_); trivial. % 49.46/49.61 apply (zenon_L256_); trivial. % 49.46/49.61 (* end of lemma zenon_L743_ *) % 49.46/49.61 assert (zenon_L744_ : ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H229 zenon_H39d zenon_H3b0 zenon_H19e zenon_H41c. % 49.46/49.61 elim (classic ((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [ zenon_intro zenon_H41d | zenon_intro zenon_H41e ]. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12)))) = ((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))). % 49.46/49.61 intro zenon_D_pnotp. % 49.46/49.61 apply zenon_H41c. % 49.46/49.61 rewrite <- zenon_D_pnotp. % 49.46/49.61 exact zenon_H41d. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41e]. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H41f]. % 49.46/49.61 congruence. % 49.46/49.61 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (h3 (e13)) (h3 (e12))) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))). % 49.46/49.61 intro zenon_D_pnotp. % 49.46/49.61 apply zenon_H41f. % 49.46/49.61 rewrite <- zenon_D_pnotp. % 49.46/49.61 exact zenon_H229. % 49.46/49.61 cut (((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 49.46/49.61 cut (((op2 (e23) (e22)) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 49.46/49.61 congruence. % 49.46/49.61 elim (classic ((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [ zenon_intro zenon_H41d | zenon_intro zenon_H41e ]. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12)))) = ((op2 (e23) (e22)) = (op2 (h3 (e13)) (h3 (e12))))). % 49.46/49.61 intro zenon_D_pnotp. % 49.46/49.61 apply zenon_H420. % 49.46/49.61 rewrite <- zenon_D_pnotp. % 49.46/49.61 exact zenon_H41d. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41e]. % 49.46/49.61 cut (((op2 (h3 (e13)) (h3 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 49.46/49.61 congruence. % 49.46/49.61 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 49.46/49.61 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.46/49.61 congruence. % 49.46/49.61 apply (zenon_L656_); trivial. % 49.46/49.61 exact (zenon_H3d8 zenon_H3b0). % 49.46/49.61 apply zenon_H41e. apply refl_equal. % 49.46/49.61 apply zenon_H41e. apply refl_equal. % 49.46/49.61 exact (zenon_H3a6 zenon_H19e). % 49.46/49.61 apply zenon_H41e. apply refl_equal. % 49.46/49.61 apply zenon_H41e. apply refl_equal. % 49.46/49.61 (* end of lemma zenon_L744_ *) % 49.46/49.61 assert (zenon_L745_ : (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.46/49.61 do 0 intro. intros zenon_H422 zenon_Haf zenon_H229 zenon_H39d zenon_H19e zenon_H3b0. % 49.46/49.61 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))). % 49.46/49.61 intro zenon_D_pnotp. % 49.46/49.61 apply zenon_H422. % 49.46/49.61 rewrite <- zenon_D_pnotp. % 49.46/49.61 exact zenon_H39d. % 49.46/49.61 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 49.46/49.61 cut (((h3 (e13)) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H423]. % 49.46/49.61 congruence. % 49.46/49.61 elim (classic ((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [ zenon_intro zenon_H424 | zenon_intro zenon_H425 ]. % 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12)))) = ((h3 (e13)) = (h3 (op1 (e13) (e12))))). % 49.46/49.61 intro zenon_D_pnotp. % 49.46/49.61 apply zenon_H423. % 49.46/49.61 rewrite <- zenon_D_pnotp. % 49.46/49.61 exact zenon_H424. % 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H425]. % 49.46/49.61 cut (((h3 (op1 (e13) (e12))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H426]. % 49.46/49.61 congruence. % 49.46/49.61 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 49.46/49.61 congruence. % 49.46/49.61 exact (zenon_H107 zenon_Haf). % 49.46/49.61 apply zenon_H425. apply refl_equal. % 49.46/49.61 apply zenon_H425. apply refl_equal. % 49.46/49.61 apply (zenon_L744_); trivial. % 49.46/49.61 (* end of lemma zenon_L745_ *) % 49.46/49.61 assert (zenon_L746_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.46/49.61 do 0 intro. intros zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.61 apply (zenon_L8_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.61 apply (zenon_L504_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.61 apply (zenon_L745_); trivial. % 49.46/49.61 apply (zenon_L584_); trivial. % 49.46/49.61 (* end of lemma zenon_L746_ *) % 49.46/49.61 assert (zenon_L747_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.46/49.61 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H99 zenon_H9a zenon_H64 zenon_H117 zenon_H11e zenon_H82 zenon_H1f zenon_H20 zenon_H8c zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.61 apply (zenon_L68_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.61 apply (zenon_L26_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.61 apply (zenon_L28_); trivial. % 49.46/49.61 apply (zenon_L745_); trivial. % 49.46/49.61 (* end of lemma zenon_L747_ *) % 49.46/49.61 assert (zenon_L748_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.46/49.61 do 0 intro. intros zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa zenon_H8c. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.61 apply (zenon_L23_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.61 apply (zenon_L24_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.61 apply (zenon_L747_); trivial. % 49.46/49.61 apply (zenon_L569_); trivial. % 49.46/49.61 (* end of lemma zenon_L748_ *) % 49.46/49.61 assert (zenon_L749_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H12c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.46/49.61 apply (zenon_L135_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.46/49.61 apply (zenon_L77_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.46/49.61 apply (zenon_L560_); trivial. % 49.46/49.61 apply (zenon_L748_); trivial. % 49.46/49.61 (* end of lemma zenon_L749_ *) % 49.46/49.61 assert (zenon_L750_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H151 zenon_H146 zenon_H353 zenon_H33 zenon_H180 zenon_H35a zenon_Hdc zenon_H9e zenon_Hf3 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.46/49.61 apply (zenon_L748_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.46/49.61 apply (zenon_L93_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.46/49.61 apply (zenon_L588_); trivial. % 49.46/49.61 apply (zenon_L749_); trivial. % 49.46/49.61 (* end of lemma zenon_L750_ *) % 49.46/49.61 assert (zenon_L751_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H135 zenon_H3a zenon_Hf3 zenon_H9e zenon_H35a zenon_H180 zenon_H33 zenon_H353 zenon_H146 zenon_H151 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.61 apply (zenon_L8_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.61 apply (zenon_L750_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.61 apply (zenon_L67_); trivial. % 49.46/49.61 apply (zenon_L749_); trivial. % 49.46/49.61 (* end of lemma zenon_L751_ *) % 49.46/49.61 assert (zenon_L752_ : (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (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))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H96 zenon_H154 zenon_H35d zenon_Hd6 zenon_H4f zenon_Hae zenon_H18e zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_He0 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H126 zenon_H122 zenon_H63 zenon_H111 zenon_H10b zenon_H58 zenon_Hf7 zenon_H135 zenon_H3a zenon_H9e zenon_H35a zenon_H180 zenon_H33 zenon_H353 zenon_H146 zenon_H151 zenon_H38e zenon_H13a zenon_H9b zenon_Hbe zenon_H6c zenon_Hde zenon_H57 zenon_H12b zenon_Hc7 zenon_H2c zenon_H160 zenon_H72 zenon_H23 zenon_H76 zenon_H60 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H8b zenon_H24 zenon_H82 zenon_H11e zenon_H117 zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H387 zenon_H37f zenon_Hea zenon_H1f zenon_H20 zenon_H185 zenon_Hfa. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.46/49.61 apply (zenon_L70_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.46/49.61 apply (zenon_L503_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.46/49.61 apply (zenon_L43_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.46/49.61 apply (zenon_L48_); trivial. % 49.46/49.61 apply (zenon_L751_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.46/49.61 apply (zenon_L66_); trivial. % 49.46/49.61 apply (zenon_L751_); trivial. % 49.46/49.61 (* end of lemma zenon_L752_ *) % 49.46/49.61 assert (zenon_L753_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.46/49.61 do 0 intro. intros zenon_H113 zenon_H23 zenon_H58 zenon_H4e zenon_Hd9 zenon_H111 zenon_He4 zenon_H82 zenon_H1f zenon_H20 zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.61 apply (zenon_L4_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.61 apply (zenon_L113_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.61 apply (zenon_L69_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.61 apply (zenon_L69_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.61 apply (zenon_L26_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.61 apply (zenon_L28_); trivial. % 49.46/49.61 apply (zenon_L745_); trivial. % 49.46/49.61 (* end of lemma zenon_L753_ *) % 49.46/49.61 assert (zenon_L754_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H10b zenon_H111 zenon_H11d zenon_H99 zenon_H64 zenon_H11e zenon_H57 zenon_H63 zenon_H135 zenon_H3a zenon_H2d zenon_H18b zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.61 apply (zenon_L69_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.61 apply (zenon_L68_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.61 apply (zenon_L57_); trivial. % 49.46/49.61 apply (zenon_L746_); trivial. % 49.46/49.61 (* end of lemma zenon_L754_ *) % 49.46/49.61 assert (zenon_L755_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H135 zenon_H3a zenon_H11d zenon_H57 zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_H24 zenon_H2c zenon_H20 zenon_H1f zenon_Hc7. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.61 apply (zenon_L552_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.61 apply (zenon_L561_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.61 apply (zenon_L65_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.61 apply (zenon_L8_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.61 apply (zenon_L563_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.61 apply (zenon_L745_); trivial. % 49.46/49.61 apply (zenon_L560_); trivial. % 49.46/49.61 (* end of lemma zenon_L755_ *) % 49.46/49.61 assert (zenon_L756_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H40 zenon_H23 zenon_Hc7 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H135 zenon_H187 zenon_H15f zenon_H76 zenon_H11e zenon_H117 zenon_H99 zenon_H92 zenon_H160 zenon_H4f zenon_H4e zenon_H190 zenon_He0 zenon_H35d zenon_H377 zenon_H18 zenon_H353 zenon_H180 zenon_H146 zenon_H111 zenon_H151 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.61 apply (zenon_L4_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.61 apply (zenon_L6_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.61 apply (zenon_L755_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.61 apply (zenon_L44_); trivial. % 49.46/49.61 apply (zenon_L599_); trivial. % 49.46/49.61 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.61 apply (zenon_L7_); trivial. % 49.46/49.61 apply (zenon_L8_); trivial. % 49.46/49.61 (* end of lemma zenon_L756_ *) % 49.46/49.61 assert (zenon_L757_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.46/49.61 do 0 intro. intros zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H377 zenon_H18 zenon_H36b zenon_H161 zenon_H353 zenon_H35d zenon_H4e zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H11d zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H57 zenon_H13f zenon_H155 zenon_H18b zenon_H2d. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.62 apply (zenon_L25_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.62 apply (zenon_L17_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.62 apply (zenon_L754_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.62 apply (zenon_L88_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.62 apply (zenon_L756_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.62 apply (zenon_L505_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L602_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.62 apply (zenon_L604_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L746_); trivial. % 49.46/49.62 apply (zenon_L508_); trivial. % 49.46/49.62 apply (zenon_L504_); trivial. % 49.46/49.62 (* end of lemma zenon_L757_ *) % 49.46/49.62 assert (zenon_L758_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hfd zenon_H54 zenon_H18d zenon_H15a zenon_H2d zenon_H135 zenon_Hd9 zenon_H185 zenon_H4f zenon_H368 zenon_H12b zenon_H11d zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H353 zenon_H117 zenon_Hd6 zenon_H76 zenon_H362 zenon_Hc7 zenon_H35d zenon_H146 zenon_H8b zenon_H151 zenon_H6c zenon_H16c zenon_H187 zenon_H155 zenon_H96 zenon_H9e zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H111 zenon_H58 zenon_H173 zenon_H36e zenon_H36b zenon_H142 zenon_H10b zenon_H365 zenon_H180 zenon_H122 zenon_H13a zenon_Hf7 zenon_Hea zenon_Hae zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.62 apply (zenon_L6_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.46/49.62 apply (zenon_L19_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.46/49.62 apply (zenon_L22_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.62 apply (zenon_L144_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.62 apply (zenon_L42_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_L104_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.62 apply (zenon_L17_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.62 apply (zenon_L26_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.62 apply (zenon_L132_); trivial. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.62 apply (zenon_L44_); trivial. % 49.46/49.62 apply (zenon_L664_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 (* end of lemma zenon_L758_ *) % 49.46/49.62 assert (zenon_L759_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.46/49.62 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H1f zenon_H20 zenon_H8c zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.62 apply (zenon_L17_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.62 apply (zenon_L26_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.62 apply (zenon_L28_); trivial. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 (* end of lemma zenon_L759_ *) % 49.46/49.62 assert (zenon_L760_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((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)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 49.46/49.62 do 0 intro. intros zenon_H3a zenon_H33 zenon_Hae zenon_Hea zenon_Hf7 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H10b zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H9e zenon_H96 zenon_H155 zenon_H187 zenon_H16c zenon_H6c zenon_H151 zenon_H146 zenon_H35d zenon_Hc7 zenon_H362 zenon_H76 zenon_Hd6 zenon_H117 zenon_H353 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H4f zenon_H185 zenon_H135 zenon_H2d zenon_H15a zenon_H18d zenon_Hfd zenon_H108 zenon_He0 zenon_H63 zenon_H99 zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H1f zenon_H20 zenon_H24 zenon_H8b zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.62 apply (zenon_L758_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_L17_); trivial. % 49.46/49.62 apply (zenon_L759_); trivial. % 49.46/49.62 (* end of lemma zenon_L760_ *) % 49.46/49.62 assert (zenon_L761_ : (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 49.46/49.62 do 0 intro. intros zenon_H58 zenon_H63 zenon_H108 zenon_H18d zenon_H15a zenon_H135 zenon_H185 zenon_H4f zenon_H12b zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H362 zenon_H16c zenon_H187 zenon_H155 zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H173 zenon_H36e zenon_H142 zenon_H10b zenon_Hf7 zenon_Hae zenon_H11e zenon_H13f zenon_Hfd zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H1f zenon_H82 zenon_Hd6 zenon_H9e zenon_He0 zenon_H6c zenon_H368 zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa zenon_H8c. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.62 apply (zenon_L760_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.62 apply (zenon_L747_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.62 apply (zenon_L636_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.62 apply (zenon_L639_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.62 apply (zenon_L26_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.62 apply (zenon_L28_); trivial. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.62 apply (zenon_L28_); trivial. % 49.46/49.62 apply (zenon_L54_); trivial. % 49.46/49.62 (* end of lemma zenon_L761_ *) % 49.46/49.62 assert (zenon_L762_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H38e zenon_H35a zenon_H57 zenon_H154 zenon_H7b zenon_H72 zenon_H160 zenon_H19 zenon_H369 zenon_H58 zenon_H63 zenon_H108 zenon_H18d zenon_H15a zenon_H135 zenon_H185 zenon_H4f zenon_H12b zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H18e zenon_H362 zenon_H16c zenon_H187 zenon_H155 zenon_H126 zenon_H360 zenon_H23 zenon_H40 zenon_H173 zenon_H36e zenon_H142 zenon_H10b zenon_Hf7 zenon_Hae zenon_H11e zenon_H13f zenon_Hfd zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H1f zenon_H82 zenon_Hd6 zenon_H9e zenon_He0 zenon_H6c zenon_H368 zenon_Hab zenon_H96 zenon_H35d zenon_H76 zenon_H2d zenon_H117 zenon_H151 zenon_H146 zenon_H180 zenon_H33 zenon_H60 zenon_H353 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H2c zenon_Hc7 zenon_H36b zenon_H111 zenon_Hdc zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H3a zenon_Hd9 zenon_H20 zenon_H24 zenon_H8b zenon_Hfa. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.46/49.62 apply (zenon_L587_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.46/49.62 apply (zenon_L541_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_L558_); trivial. % 49.46/49.62 apply (zenon_L761_); trivial. % 49.46/49.62 (* end of lemma zenon_L762_ *) % 49.46/49.62 assert (zenon_L763_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H36b zenon_Hab zenon_H13f zenon_Hf7 zenon_H36e zenon_H173 zenon_H362 zenon_H161 zenon_H19 zenon_H35a zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H38e zenon_H113 zenon_H187 zenon_H67 zenon_H17a zenon_H190 zenon_H2d zenon_H15e zenon_H142 zenon_H182 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H8b zenon_H160 zenon_H72 zenon_H23 zenon_H154 zenon_H35d zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_Hae zenon_H353 zenon_H60 zenon_H33 zenon_H18e zenon_H146 zenon_H151 zenon_H15a zenon_Hfd zenon_H16c zenon_H18d zenon_Hd9 zenon_H185 zenon_H82 zenon_H108 zenon_H360 zenon_H155 zenon_H7b zenon_H117 zenon_H57 zenon_H11d zenon_H12b zenon_H126 zenon_H135 zenon_H63 zenon_H11e zenon_H111 zenon_H10b zenon_H58 zenon_H15f zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He0 zenon_H6c zenon_Hbe zenon_H368 zenon_H11b zenon_H4e zenon_H180 zenon_H9a zenon_H99 zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.62 apply (zenon_L756_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.62 apply (zenon_L43_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.62 apply (zenon_L762_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_L611_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.62 apply (zenon_L604_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L31_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 (* end of lemma zenon_L763_ *) % 49.46/49.62 assert (zenon_L764_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H4e zenon_H92 zenon_Hfa zenon_H8b zenon_Hd9 zenon_H99 zenon_H9a zenon_Hdc zenon_H111 zenon_H36b zenon_Hc7 zenon_H2c zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H353 zenon_H60 zenon_H33 zenon_H180 zenon_H146 zenon_H151 zenon_H117 zenon_H2d zenon_H76 zenon_H35d zenon_H96 zenon_Hab zenon_H368 zenon_H6c zenon_He0 zenon_H9e zenon_Hd6 zenon_H82 zenon_H422 zenon_H229 zenon_H39d zenon_H19e zenon_H3b0 zenon_Hfd zenon_H13f zenon_H11e zenon_Hae zenon_Hf7 zenon_H10b zenon_H142 zenon_H36e zenon_H173 zenon_H40 zenon_H23 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H16c zenon_H362 zenon_H18e zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H12b zenon_H4f zenon_H185 zenon_H135 zenon_H15a zenon_H18d zenon_H108 zenon_H63 zenon_H58 zenon_H19 zenon_H160 zenon_H72 zenon_H7b zenon_H154 zenon_H57 zenon_H35a zenon_H38e zenon_H365 zenon_H377 zenon_H18 zenon_H122 zenon_H13a zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.62 apply (zenon_L756_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.62 apply (zenon_L43_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L762_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 (* end of lemma zenon_L764_ *) % 49.46/49.62 assert (zenon_L765_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H229 zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.46/49.62 apply (zenon_L13_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.46/49.62 apply (zenon_L13_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.46/49.62 apply (zenon_L18_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.62 apply (zenon_L6_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.62 apply (zenon_L18_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.62 apply (zenon_L19_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.62 apply (zenon_L23_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.62 apply (zenon_L24_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.62 apply (zenon_L68_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.62 apply (zenon_L25_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.62 apply (zenon_L69_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.62 apply (zenon_L68_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.62 apply (zenon_L57_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.62 apply (zenon_L552_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.62 apply (zenon_L153_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.62 apply (zenon_L746_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L557_); trivial. % 49.46/49.62 apply (zenon_L752_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L65_); trivial. % 49.46/49.62 apply (zenon_L752_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.62 apply (zenon_L753_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.62 apply (zenon_L68_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.62 apply (zenon_L57_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.62 apply (zenon_L552_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.62 apply (zenon_L504_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L65_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.46/49.62 apply (zenon_L70_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.46/49.62 apply (zenon_L42_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.46/49.62 apply (zenon_L66_); trivial. % 49.46/49.62 apply (zenon_L750_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.62 apply (zenon_L595_); trivial. % 49.46/49.62 apply (zenon_L596_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.62 apply (zenon_L23_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.62 apply (zenon_L24_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.62 apply (zenon_L25_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.62 apply (zenon_L21_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.62 apply (zenon_L68_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.62 apply (zenon_L88_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.62 apply (zenon_L552_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.62 apply (zenon_L112_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.62 apply (zenon_L757_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L557_); trivial. % 49.46/49.62 apply (zenon_L763_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L65_); trivial. % 49.46/49.62 apply (zenon_L763_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.62 apply (zenon_L552_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.62 apply (zenon_L504_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.62 apply (zenon_L65_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.62 apply (zenon_L764_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.62 apply (zenon_L89_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L31_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 apply (zenon_L43_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.62 apply (zenon_L44_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.46/49.62 apply (zenon_L2_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.46/49.62 apply (zenon_L620_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.46/49.62 apply (zenon_L140_); trivial. % 49.46/49.62 apply (zenon_L757_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.62 apply (zenon_L6_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.62 apply (zenon_L18_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.62 apply (zenon_L19_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.62 apply (zenon_L748_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.62 apply (zenon_L23_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.62 apply (zenon_L24_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.62 apply (zenon_L574_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.62 apply (zenon_L25_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.62 apply (zenon_L21_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.62 apply (zenon_L747_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.62 apply (zenon_L88_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.62 apply (zenon_L756_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.62 apply (zenon_L43_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L608_); trivial. % 49.46/49.62 apply (zenon_L507_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.62 apply (zenon_L604_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.62 apply (zenon_L31_); trivial. % 49.46/49.62 apply (zenon_L571_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.62 apply (zenon_L26_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.62 apply (zenon_L28_); trivial. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_L761_); trivial. % 49.46/49.62 apply (zenon_L43_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.62 apply (zenon_L44_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.46/49.62 apply (zenon_L14_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.46/49.62 apply (zenon_L581_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.46/49.62 apply (zenon_L140_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.62 apply (zenon_L25_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.62 apply (zenon_L21_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.62 apply (zenon_L628_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.62 apply (zenon_L88_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.46/49.62 apply (zenon_L540_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.46/49.62 apply (zenon_L47_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.46/49.62 apply (zenon_L48_); trivial. % 49.46/49.62 apply (zenon_L718_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.62 apply (zenon_L26_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.62 apply (zenon_L28_); trivial. % 49.46/49.62 apply (zenon_L745_); trivial. % 49.46/49.62 apply (zenon_L504_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.46/49.62 apply (zenon_L142_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.46/49.62 apply (zenon_L753_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H72 | zenon_intro zenon_H397 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.62 apply (zenon_L6_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.62 apply (zenon_L755_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.62 apply (zenon_L44_); trivial. % 49.46/49.62 apply (zenon_L647_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_L63_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H73 | zenon_intro zenon_H398 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.46/49.62 apply (zenon_L556_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.46/49.62 apply (zenon_L755_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.46/49.62 apply (zenon_L140_); trivial. % 49.46/49.62 apply (zenon_L561_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.62 apply (zenon_L7_); trivial. % 49.46/49.62 apply (zenon_L8_); trivial. % 49.46/49.62 apply (zenon_L63_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H394 | zenon_intro zenon_H92 ]. % 49.46/49.62 apply (zenon_L642_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.62 apply (zenon_L4_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.62 apply (zenon_L113_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.62 apply (zenon_L756_); trivial. % 49.46/49.62 apply (zenon_L63_); trivial. % 49.46/49.62 apply (zenon_L70_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.46/49.62 apply (zenon_L13_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.46/49.62 apply (zenon_L18_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.46/49.62 apply (zenon_L760_); trivial. % 49.46/49.62 apply (zenon_L70_); trivial. % 49.46/49.62 apply (zenon_L550_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.46/49.62 apply (zenon_L110_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.46/49.62 apply (zenon_L111_); trivial. % 49.46/49.62 apply (zenon_L153_); trivial. % 49.46/49.62 (* end of lemma zenon_L765_ *) % 49.46/49.62 assert (zenon_L766_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.62 do 0 intro. intros zenon_H253 zenon_H297 zenon_H213 zenon_H214 zenon_H1de zenon_H291 zenon_H298 zenon_H1fc zenon_H14 zenon_H19b zenon_H206 zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.62 apply (zenon_L220_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.62 apply (zenon_L178_); trivial. % 49.46/49.62 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.62 apply (zenon_L180_); trivial. % 49.46/49.62 apply (zenon_L765_); trivial. % 49.46/49.62 (* end of lemma zenon_L766_ *) % 49.46/49.62 assert (zenon_L767_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.46/49.63 do 0 intro. intros zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274 zenon_H206. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.46/49.63 apply (zenon_L175_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.46/49.63 apply (zenon_L176_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.46/49.63 apply (zenon_L766_); trivial. % 49.46/49.63 apply (zenon_L388_); trivial. % 49.46/49.63 (* end of lemma zenon_L767_ *) % 49.46/49.63 assert (zenon_L768_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.46/49.63 apply (zenon_L287_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.46/49.63 apply (zenon_L229_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.46/49.63 apply (zenon_L402_); trivial. % 49.46/49.63 apply (zenon_L767_); trivial. % 49.46/49.63 (* end of lemma zenon_L768_ *) % 49.46/49.63 assert (zenon_L769_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H2cb zenon_H2c0 zenon_H30d zenon_H1ad zenon_H2fa zenon_H314 zenon_H256 zenon_H218 zenon_H26d zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.46/49.63 apply (zenon_L767_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.46/49.63 apply (zenon_L245_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.46/49.63 apply (zenon_L408_); trivial. % 49.46/49.63 apply (zenon_L768_); trivial. % 49.46/49.63 (* end of lemma zenon_L769_ *) % 49.46/49.63 assert (zenon_L770_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H2af zenon_H1b4 zenon_H26d zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.46/49.63 apply (zenon_L160_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.46/49.63 apply (zenon_L769_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.46/49.63 apply (zenon_L219_); trivial. % 49.46/49.63 apply (zenon_L768_); trivial. % 49.46/49.63 (* end of lemma zenon_L770_ *) % 49.46/49.63 assert (zenon_L771_ : (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H210 zenon_H2ce zenon_H317 zenon_H250 zenon_H1c9 zenon_H228 zenon_H308 zenon_H2d4 zenon_H277 zenon_H2e6 zenon_H307 zenon_H25a zenon_H282 zenon_H31a zenon_H2cf zenon_H1f5 zenon_H2a0 zenon_H29c zenon_H1dd zenon_H28b zenon_H285 zenon_H1d2 zenon_H271 zenon_H2af zenon_H1b4 zenon_H218 zenon_H314 zenon_H2fa zenon_H1ad zenon_H30d zenon_H2c0 zenon_H2cb zenon_H342 zenon_H2b4 zenon_H215 zenon_H238 zenon_H1e6 zenon_H258 zenon_H1d1 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H2da zenon_H1ec zenon_H19d zenon_H1f0 zenon_H1da zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H19e zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H205 zenon_H1fc zenon_H298 zenon_H291 zenon_H1de zenon_H213 zenon_H297 zenon_H253 zenon_H33a zenon_H336 zenon_H264 zenon_H14 zenon_H19b zenon_H2ff zenon_H274. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.46/49.63 apply (zenon_L222_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.46/49.63 apply (zenon_L334_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.46/49.63 apply (zenon_L195_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.46/49.63 apply (zenon_L200_); trivial. % 49.46/49.63 apply (zenon_L770_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.46/49.63 apply (zenon_L218_); trivial. % 49.46/49.63 apply (zenon_L770_); trivial. % 49.46/49.63 (* end of lemma zenon_L771_ *) % 49.46/49.63 assert (zenon_L772_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H28d zenon_H19d zenon_H1d2 zenon_H1c8 zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H14 zenon_H19b zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.46/49.63 apply (zenon_L156_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.46/49.63 apply (zenon_L265_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.46/49.63 apply (zenon_L221_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.63 apply (zenon_L221_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.63 apply (zenon_L178_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.63 apply (zenon_L180_); trivial. % 49.46/49.63 apply (zenon_L765_); trivial. % 49.46/49.63 (* end of lemma zenon_L772_ *) % 49.46/49.63 assert (zenon_L773_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((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 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 49.46/49.63 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H291 zenon_H2af zenon_H1b4 zenon_H297 zenon_H1d1 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H33a zenon_H336 zenon_H264 zenon_H28a zenon_H274 zenon_H19e zenon_H1a6 zenon_H19b zenon_H14 zenon_H241. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.46/49.63 apply (zenon_L382_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.46/49.63 apply (zenon_L418_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.46/49.63 apply (zenon_L217_); trivial. % 49.46/49.63 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.46/49.64 apply (zenon_L160_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.46/49.64 apply (zenon_L422_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.46/49.64 apply (zenon_L765_); trivial. % 49.46/49.64 apply (zenon_L402_); trivial. % 49.46/49.64 (* end of lemma zenon_L773_ *) % 49.46/49.64 assert (zenon_L774_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.64 do 0 intro. intros zenon_H1ba zenon_H19d zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H2d9 zenon_H1f0 zenon_H298 zenon_H291 zenon_H213 zenon_H20c zenon_H2da zenon_H1c9 zenon_H1c8 zenon_H30a zenon_H25a zenon_H317 zenon_H331 zenon_H194 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.64 apply (zenon_L156_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.64 apply (zenon_L158_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.64 apply (zenon_L773_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.64 apply (zenon_L196_); trivial. % 49.46/49.64 apply (zenon_L425_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.64 apply (zenon_L159_); trivial. % 49.46/49.64 apply (zenon_L160_); trivial. % 49.46/49.64 (* end of lemma zenon_L774_ *) % 49.46/49.64 assert (zenon_L775_ : (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.64 do 0 intro. intros zenon_H1c9 zenon_H28d zenon_H19d zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H322 zenon_H295 zenon_H1c8 zenon_H317 zenon_H30d zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2db zenon_H325 zenon_H194 zenon_H331 zenon_H291 zenon_H238 zenon_H1e6 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.46/49.64 apply (zenon_L774_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.46/49.64 apply (zenon_L336_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.46/49.64 apply (zenon_L420_); trivial. % 49.46/49.64 apply (zenon_L391_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.46/49.64 apply (zenon_L435_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.46/49.64 apply (zenon_L404_); trivial. % 49.46/49.64 apply (zenon_L339_); trivial. % 49.46/49.64 (* end of lemma zenon_L775_ *) % 49.46/49.64 assert (zenon_L776_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.64 do 0 intro. intros zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H277 zenon_H1ce zenon_H307 zenon_H2d4 zenon_H1a7 zenon_H2af zenon_H253 zenon_H2ff zenon_H1c9 zenon_H322 zenon_H2a5 zenon_H297 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H291 zenon_H250 zenon_H1f0 zenon_H31c zenon_H241 zenon_H317 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H1e6 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H210 zenon_H218 zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2ed zenon_H328 zenon_H325 zenon_H2bc zenon_H285 zenon_H31f zenon_H2fa zenon_H29c zenon_H2b4 zenon_H271 zenon_H264 zenon_H228 zenon_H1e1 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.64 apply (zenon_L156_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.46/49.64 apply (zenon_L158_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.46/49.64 apply (zenon_L173_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.46/49.64 apply (zenon_L171_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.46/49.64 apply (zenon_L174_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.46/49.64 apply (zenon_L159_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.46/49.64 apply (zenon_L296_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.46/49.64 apply (zenon_L160_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.46/49.64 apply (zenon_L194_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.46/49.64 apply (zenon_L765_); trivial. % 49.46/49.64 apply (zenon_L256_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.64 apply (zenon_L169_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.64 apply (zenon_L178_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.64 apply (zenon_L284_); trivial. % 49.46/49.64 apply (zenon_L765_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.46/49.64 apply (zenon_L196_); trivial. % 49.46/49.64 apply (zenon_L673_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.64 apply (zenon_L159_); trivial. % 49.46/49.64 apply (zenon_L160_); trivial. % 49.46/49.64 (* end of lemma zenon_L776_ *) % 49.46/49.64 assert (zenon_L777_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.64 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H14 zenon_H19b zenon_H206 zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.64 apply (zenon_L169_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.64 apply (zenon_L178_); trivial. % 49.46/49.64 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.64 apply (zenon_L180_); trivial. % 49.46/49.64 apply (zenon_L765_); trivial. % 49.46/49.64 (* end of lemma zenon_L777_ *) % 49.46/49.64 assert (zenon_L778_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.64 do 0 intro. intros zenon_H1b4 zenon_H1ad zenon_H1e1 zenon_H228 zenon_H264 zenon_H271 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H31f zenon_H285 zenon_H2bc zenon_H325 zenon_H328 zenon_H2ed zenon_H28b zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H218 zenon_H210 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H1e6 zenon_H2cb zenon_H2c0 zenon_H317 zenon_H241 zenon_H31c zenon_H1f0 zenon_H250 zenon_H291 zenon_H30d zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H297 zenon_H2a5 zenon_H322 zenon_H1c9 zenon_H2ff zenon_H2af zenon_H1a7 zenon_H2d4 zenon_H307 zenon_H277 zenon_H282 zenon_H25a zenon_H1dd zenon_H213 zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H14 zenon_H19b zenon_H205 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H19e zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.46/49.65 apply (zenon_L156_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.46/49.65 apply (zenon_L776_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.46/49.65 apply (zenon_L169_); trivial. % 49.46/49.65 apply (zenon_L777_); trivial. % 49.46/49.65 (* end of lemma zenon_L778_ *) % 49.46/49.65 assert (zenon_L779_ : (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 49.46/49.65 do 0 intro. intros zenon_H1d2 zenon_H1dd zenon_H282 zenon_H307 zenon_H2d4 zenon_H2af zenon_H2ff zenon_H1c9 zenon_H2a5 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H31c zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H2ed zenon_H328 zenon_H2bc zenon_H285 zenon_H271 zenon_H228 zenon_H1e1 zenon_H298 zenon_H2b9 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H14 zenon_H1fc zenon_H250 zenon_H218 zenon_H25a zenon_H1e6 zenon_H322 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274 zenon_H206. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.46/49.65 apply (zenon_L778_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.46/49.65 apply (zenon_L766_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.46/49.65 apply (zenon_L460_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.46/49.65 apply (zenon_L159_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.65 apply (zenon_L462_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.65 apply (zenon_L178_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.65 apply (zenon_L180_); trivial. % 49.46/49.65 apply (zenon_L765_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.46/49.65 apply (zenon_L180_); trivial. % 49.46/49.65 apply (zenon_L206_); trivial. % 49.46/49.65 (* end of lemma zenon_L779_ *) % 49.46/49.65 assert (zenon_L780_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H342 zenon_H314 zenon_H2da zenon_H1ec zenon_H2ce zenon_H1f5 zenon_H1d1 zenon_H323 zenon_H1d2 zenon_H1dd zenon_H282 zenon_H307 zenon_H2d4 zenon_H2af zenon_H2ff zenon_H1c9 zenon_H2a5 zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H31c zenon_H2e6 zenon_H301 zenon_H2cf zenon_H2a0 zenon_H31a zenon_H19d zenon_H1ba zenon_H2ed zenon_H328 zenon_H2bc zenon_H285 zenon_H271 zenon_H228 zenon_H1e1 zenon_H298 zenon_H2b9 zenon_H277 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H14 zenon_H1fc zenon_H250 zenon_H218 zenon_H25a zenon_H1e6 zenon_H322 zenon_H225 zenon_H210 zenon_H317 zenon_H1f0 zenon_H1a7 zenon_H291 zenon_H2cb zenon_H2c0 zenon_H2fa zenon_H1ad zenon_H1da zenon_H30d zenon_H297 zenon_H33a zenon_H336 zenon_H264 zenon_H1a6 zenon_H241 zenon_H325 zenon_H28b zenon_H256 zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H1b4 zenon_H253 zenon_H19b zenon_H19e zenon_H205 zenon_H274. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.46/49.65 apply (zenon_L406_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.46/49.65 apply (zenon_L359_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.46/49.65 apply (zenon_L400_); trivial. % 49.46/49.65 apply (zenon_L779_); trivial. % 49.46/49.65 (* end of lemma zenon_L780_ *) % 49.46/49.65 assert (zenon_L781_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H1da zenon_H225 zenon_H1e1 zenon_H271 zenon_H1d1 zenon_H314 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H342 zenon_H2f2 zenon_H1d2 zenon_H291 zenon_H2a5 zenon_H297 zenon_H1a7 zenon_H2af zenon_H2d4 zenon_H277 zenon_H1dd zenon_H2ce zenon_H31a zenon_H2a0 zenon_H1c9 zenon_H1f5 zenon_H28b zenon_H2bc zenon_H325 zenon_H210 zenon_H1f0 zenon_H250 zenon_H2b9 zenon_H298 zenon_H2cf zenon_H28d zenon_H2db zenon_H2d9 zenon_H30a zenon_H308 zenon_H30d zenon_H228 zenon_H31c zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H307 zenon_H2e6 zenon_H301 zenon_H282 zenon_H1fc zenon_H19d zenon_H1ba zenon_H285 zenon_H1ec zenon_H2da zenon_H195 zenon_H1ad zenon_H328 zenon_H2ed zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H25a zenon_H1e6 zenon_H238 zenon_H322 zenon_H295 zenon_H1c8 zenon_H2fa zenon_H214 zenon_H213 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.46/49.65 apply (zenon_L774_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.46/49.65 apply (zenon_L195_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H2b0 ]. % 49.46/49.65 apply (zenon_L160_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H256 | zenon_intro zenon_H2b1 ]. % 49.46/49.65 apply (zenon_L780_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H229 | zenon_intro zenon_H2a6 ]. % 49.46/49.65 apply (zenon_L765_); trivial. % 49.46/49.65 apply (zenon_L432_); trivial. % 49.46/49.65 apply (zenon_L391_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.46/49.65 apply (zenon_L435_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.46/49.65 apply (zenon_L183_); trivial. % 49.46/49.65 apply (zenon_L391_); trivial. % 49.46/49.65 (* end of lemma zenon_L781_ *) % 49.46/49.65 assert (zenon_L782_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H1c8 zenon_H20c zenon_H274 zenon_H205 zenon_H253 zenon_H213 zenon_H214 zenon_H256 zenon_H28b zenon_H325 zenon_H241 zenon_H1a6 zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H30d zenon_H1da zenon_H1ad zenon_H2fa zenon_H2c0 zenon_H2cb zenon_H291 zenon_H1a7 zenon_H1f0 zenon_H317 zenon_H210 zenon_H225 zenon_H322 zenon_H1e6 zenon_H25a zenon_H218 zenon_H250 zenon_H1fc zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H3b0 zenon_H39d zenon_H422 zenon_H37f zenon_H387 zenon_H377 zenon_H37b zenon_H396 zenon_H391 zenon_H38e zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H277 zenon_H2b9 zenon_H298 zenon_H1e1 zenon_H228 zenon_H271 zenon_H285 zenon_H2bc zenon_H328 zenon_H2ed zenon_H1ba zenon_H19d zenon_H31a zenon_H2a0 zenon_H2cf zenon_H301 zenon_H2e6 zenon_H31c zenon_H308 zenon_H30a zenon_H2d9 zenon_H2db zenon_H28d zenon_H2a5 zenon_H1c9 zenon_H2ff zenon_H2af zenon_H2d4 zenon_H307 zenon_H282 zenon_H1dd zenon_H1d2 zenon_H1d1 zenon_H1f5 zenon_H2ce zenon_H1ec zenon_H2da zenon_H314 zenon_H342 zenon_H31f zenon_H331 zenon_H194 zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.46/49.65 apply (zenon_L774_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.46/49.65 apply (zenon_L195_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.46/49.65 apply (zenon_L780_); trivial. % 49.46/49.65 apply (zenon_L391_); trivial. % 49.46/49.65 (* end of lemma zenon_L782_ *) % 49.46/49.65 assert (zenon_L783_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (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) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H241 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H2af zenon_H301 zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H30d zenon_H2fa zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H228 zenon_H271 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H218 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H1e6 zenon_H2b4 zenon_H2a5 zenon_H2d4 zenon_H282 zenon_H25a zenon_H213 zenon_H250 zenon_H1fc zenon_H2d9 zenon_H1c9 zenon_H2da zenon_H205 zenon_H2db zenon_H1f0 zenon_H1d2 zenon_H19d zenon_H28d zenon_H210 zenon_H30a zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.46/49.65 apply (zenon_L156_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.46/49.65 apply (zenon_L262_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.46/49.65 apply (zenon_L773_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.46/49.65 apply (zenon_L292_); trivial. % 49.46/49.65 apply (zenon_L418_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.46/49.65 apply (zenon_L159_); trivial. % 49.46/49.65 apply (zenon_L160_); trivial. % 49.46/49.65 (* end of lemma zenon_L783_ *) % 49.46/49.65 assert (zenon_L784_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H2af zenon_H1a7 zenon_H308 zenon_H322 zenon_H295 zenon_H1f0 zenon_H241 zenon_H274 zenon_H336 zenon_H33a zenon_H297 zenon_H301 zenon_H317 zenon_H331 zenon_H194 zenon_H291 zenon_H30d zenon_H2c0 zenon_H28b zenon_H2cb zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H38e zenon_H391 zenon_H396 zenon_H37b zenon_H377 zenon_H387 zenon_H37f zenon_H422 zenon_H39d zenon_H3b0 zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H2e4 zenon_H195 zenon_H1bd zenon_H2e5 zenon_H1c4 zenon_H253 zenon_H2e6 zenon_H1e1 zenon_H2d8 zenon_H1ba zenon_H2cf zenon_H2a0 zenon_H298 zenon_H285 zenon_H2b9 zenon_H2bc zenon_H1f5 zenon_H2ce zenon_H1dd zenon_H277 zenon_H2a5 zenon_H2d4 zenon_H282 zenon_H213 zenon_H250 zenon_H2d9 zenon_H2da zenon_H2db zenon_H19d zenon_H28d zenon_H210 zenon_H30a zenon_H1ad zenon_H325 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.46/49.65 apply (zenon_L369_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.46/49.65 apply (zenon_L199_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.46/49.65 apply (zenon_L200_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.46/49.65 apply (zenon_L783_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.46/49.65 apply (zenon_L336_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.46/49.65 apply (zenon_L451_); trivial. % 49.46/49.65 apply (zenon_L339_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.46/49.65 apply (zenon_L178_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.46/49.65 apply (zenon_L180_); trivial. % 49.46/49.65 apply (zenon_L204_); trivial. % 49.46/49.65 (* end of lemma zenon_L784_ *) % 49.46/49.65 assert (zenon_L785_ : ((op2 (e23) (e23)) = (e20)) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H314 zenon_H39d zenon_H19e zenon_H14 zenon_H427. % 49.46/49.65 elim (classic ((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [ zenon_intro zenon_H428 | zenon_intro zenon_H429 ]. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13)))) = ((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))). % 49.46/49.65 intro zenon_D_pnotp. % 49.46/49.65 apply zenon_H427. % 49.46/49.65 rewrite <- zenon_D_pnotp. % 49.46/49.65 exact zenon_H428. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 49.46/49.65 congruence. % 49.46/49.65 cut (((op2 (e23) (e23)) = (e20)) = ((op2 (h3 (e13)) (h3 (e13))) = (op2 (e22) (e22)))). % 49.46/49.65 intro zenon_D_pnotp. % 49.46/49.65 apply zenon_H42a. % 49.46/49.65 rewrite <- zenon_D_pnotp. % 49.46/49.65 exact zenon_H314. % 49.46/49.65 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 49.46/49.65 cut (((op2 (e23) (e23)) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 49.46/49.65 congruence. % 49.46/49.65 elim (classic ((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [ zenon_intro zenon_H428 | zenon_intro zenon_H429 ]. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13)))) = ((op2 (e23) (e23)) = (op2 (h3 (e13)) (h3 (e13))))). % 49.46/49.65 intro zenon_D_pnotp. % 49.46/49.65 apply zenon_H42b. % 49.46/49.65 rewrite <- zenon_D_pnotp. % 49.46/49.65 exact zenon_H428. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 49.46/49.65 cut (((op2 (h3 (e13)) (h3 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42c]. % 49.46/49.65 congruence. % 49.46/49.65 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.46/49.65 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 49.46/49.65 congruence. % 49.46/49.65 apply (zenon_L656_); trivial. % 49.46/49.65 apply (zenon_L656_); trivial. % 49.46/49.65 apply zenon_H429. apply refl_equal. % 49.46/49.65 apply zenon_H429. apply refl_equal. % 49.46/49.65 exact (zenon_H3c9 zenon_H14). % 49.46/49.65 apply zenon_H429. apply refl_equal. % 49.46/49.65 apply zenon_H429. apply refl_equal. % 49.46/49.65 (* end of lemma zenon_L785_ *) % 49.46/49.65 assert (zenon_L786_ : (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op1 (e13) (e13)) = (e10)) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H42d zenon_H13 zenon_H35a zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))). % 49.46/49.65 intro zenon_D_pnotp. % 49.46/49.65 apply zenon_H42d. % 49.46/49.65 rewrite <- zenon_D_pnotp. % 49.46/49.65 exact zenon_H13. % 49.46/49.65 cut (((op2 (e22) (e22)) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 49.46/49.65 cut (((h3 (e10)) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 49.46/49.65 congruence. % 49.46/49.65 elim (classic ((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [ zenon_intro zenon_H42f | zenon_intro zenon_H430 ]. % 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13)))) = ((h3 (e10)) = (h3 (op1 (e13) (e13))))). % 49.46/49.65 intro zenon_D_pnotp. % 49.46/49.65 apply zenon_H42e. % 49.46/49.65 rewrite <- zenon_D_pnotp. % 49.46/49.65 exact zenon_H42f. % 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 49.46/49.65 cut (((h3 (op1 (e13) (e13))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H431]. % 49.46/49.65 congruence. % 49.46/49.65 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H432]. % 49.46/49.65 congruence. % 49.46/49.65 exact (zenon_H432 zenon_H35a). % 49.46/49.65 apply zenon_H430. apply refl_equal. % 49.46/49.65 apply zenon_H430. apply refl_equal. % 49.46/49.65 apply (zenon_L785_); trivial. % 49.46/49.65 (* end of lemma zenon_L786_ *) % 49.46/49.65 assert (zenon_L787_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_Hdc zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L552_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_L504_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L787_ *) % 49.46/49.65 assert (zenon_L788_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.46/49.65 do 0 intro. intros zenon_H135 zenon_H3a zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.65 apply (zenon_L8_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.65 apply (zenon_L787_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.65 apply (zenon_L67_); trivial. % 49.46/49.65 apply (zenon_L584_); trivial. % 49.46/49.65 (* end of lemma zenon_L788_ *) % 49.46/49.65 assert (zenon_L789_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H10b zenon_H111 zenon_H99 zenon_H64 zenon_H11e zenon_H63 zenon_H135 zenon_H3a zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H20 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.65 apply (zenon_L69_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.65 apply (zenon_L68_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.65 apply (zenon_L57_); trivial. % 49.46/49.65 apply (zenon_L788_); trivial. % 49.46/49.65 (* end of lemma zenon_L789_ *) % 49.46/49.65 assert (zenon_L790_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H76 zenon_H92 zenon_Hc7 zenon_H20 zenon_H2c zenon_H24 zenon_Hfa zenon_H110 zenon_Hea zenon_H37f zenon_H387 zenon_H11d zenon_H57 zenon_H2d zenon_H3a zenon_H135 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L29_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_L561_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L790_ *) % 49.46/49.65 assert (zenon_L791_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H3a zenon_H20 zenon_H24 zenon_H180 zenon_H95 zenon_H122 zenon_H365 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L552_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_L717_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L791_ *) % 49.46/49.65 assert (zenon_L792_ : ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((op1 (e10) (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 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e13))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H4e zenon_H3a zenon_H20 zenon_H1f zenon_H24 zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H135 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H18 zenon_H377 zenon_H35d zenon_H57 zenon_H11d zenon_H38e zenon_H8b zenon_H12b zenon_Hc7 zenon_H2c zenon_Hfa zenon_Hea zenon_H37f zenon_H387 zenon_H9e zenon_He7 zenon_H6c zenon_H117 zenon_H36b zenon_H368 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H15e zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H67 zenon_H16c zenon_H15f zenon_H187 zenon_H23 zenon_H113 zenon_H4f zenon_H13f zenon_H155 zenon_H18b zenon_H2d. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.65 apply (zenon_L113_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.65 apply (zenon_L25_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.65 apply (zenon_L17_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.65 apply (zenon_L789_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.65 apply (zenon_L88_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.65 apply (zenon_L790_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.65 apply (zenon_L505_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.65 apply (zenon_L8_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.65 apply (zenon_L787_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.65 apply (zenon_L67_); trivial. % 49.46/49.65 apply (zenon_L601_); trivial. % 49.46/49.65 apply (zenon_L507_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.65 apply (zenon_L791_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.65 apply (zenon_L788_); trivial. % 49.46/49.65 apply (zenon_L508_); trivial. % 49.46/49.65 apply (zenon_L504_); trivial. % 49.46/49.65 (* end of lemma zenon_L792_ *) % 49.46/49.65 assert (zenon_L793_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 49.46/49.65 do 0 intro. intros zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_He7 zenon_H18e zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae zenon_Haf. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.46/49.65 apply (zenon_L70_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.46/49.65 apply (zenon_L481_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.46/49.65 apply (zenon_L66_); trivial. % 49.46/49.65 apply (zenon_L570_); trivial. % 49.46/49.65 (* end of lemma zenon_L793_ *) % 49.46/49.65 assert (zenon_L794_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H37f zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_Haf zenon_H18 zenon_H178 zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L552_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.65 apply (zenon_L112_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.65 apply (zenon_L793_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L557_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L794_ *) % 49.46/49.65 assert (zenon_L795_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_Hd9 zenon_H11d zenon_H9a zenon_H11e zenon_H82 zenon_H8b zenon_H35d zenon_H377 zenon_H37f zenon_H126 zenon_H122 zenon_H20 zenon_H4f zenon_H64 zenon_H99 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_H18 zenon_H178 zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.65 apply (zenon_L68_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.65 apply (zenon_L26_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.65 apply (zenon_L28_); trivial. % 49.46/49.65 apply (zenon_L794_); trivial. % 49.46/49.65 (* end of lemma zenon_L795_ *) % 49.46/49.65 assert (zenon_L796_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H391 zenon_H2d zenon_H4e zenon_H58 zenon_H23 zenon_H113 zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H18b zenon_H4f zenon_H122 zenon_H126 zenon_H8b zenon_H111 zenon_Hd9 zenon_H37f zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.65 apply (zenon_L138_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.65 apply (zenon_L577_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L557_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L796_ *) % 49.46/49.65 assert (zenon_L797_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_H37f zenon_Hd9 zenon_H111 zenon_H8b zenon_H126 zenon_H122 zenon_H4f zenon_H82 zenon_H20 zenon_H63 zenon_He4 zenon_H99 zenon_He0 zenon_H108 zenon_H9e zenon_H8c zenon_H18e zenon_H6c zenon_Hbe zenon_H24 zenon_Hae zenon_H113 zenon_H23 zenon_H58 zenon_H4e zenon_H2d zenon_H391 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L552_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_L796_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L797_ *) % 49.46/49.65 assert (zenon_L798_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (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) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H35d zenon_H377 zenon_H18 zenon_Haf zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.65 apply (zenon_L552_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.65 apply (zenon_L576_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.65 apply (zenon_L65_); trivial. % 49.46/49.65 apply (zenon_L786_); trivial. % 49.46/49.65 (* end of lemma zenon_L798_ *) % 49.46/49.65 assert (zenon_L799_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (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) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_Hd9 zenon_H111 zenon_H8b zenon_H35d zenon_H377 zenon_H18 zenon_Hae zenon_H24 zenon_Hbe zenon_H6c zenon_H18e zenon_He7 zenon_H8c zenon_H9e zenon_H108 zenon_He0 zenon_H99 zenon_He4 zenon_H63 zenon_H20 zenon_H82 zenon_H4f zenon_H122 zenon_H126 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.65 apply (zenon_L69_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.65 apply (zenon_L26_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.65 apply (zenon_L28_); trivial. % 49.46/49.65 apply (zenon_L798_); trivial. % 49.46/49.65 (* end of lemma zenon_L799_ *) % 49.46/49.65 assert (zenon_L800_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> False). % 49.46/49.65 do 0 intro. intros zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hf3 zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117 zenon_H9b. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.65 apply (zenon_L8_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.65 apply (zenon_L787_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.65 apply (zenon_L570_); trivial. % 49.46/49.65 apply (zenon_L583_); trivial. % 49.46/49.65 (* end of lemma zenon_L800_ *) % 49.46/49.65 assert (zenon_L801_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H10b zenon_H108 zenon_H111 zenon_He0 zenon_Hea zenon_H58 zenon_Hf7 zenon_H11e zenon_H11d zenon_H8b zenon_H82 zenon_H63 zenon_Hd9 zenon_H126 zenon_H122 zenon_H4f zenon_H18b zenon_H64 zenon_H99 zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.65 apply (zenon_L799_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.65 apply (zenon_L580_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.65 apply (zenon_L59_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H127 ]. % 49.46/49.65 apply (zenon_L70_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H94 | zenon_intro zenon_H128 ]. % 49.46/49.65 apply (zenon_L481_); trivial. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11b | zenon_intro zenon_Hf3 ]. % 49.46/49.65 apply (zenon_L66_); trivial. % 49.46/49.65 apply (zenon_L800_); trivial. % 49.46/49.65 (* end of lemma zenon_L801_ *) % 49.46/49.65 assert (zenon_L802_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (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 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.65 do 0 intro. intros zenon_H40 zenon_H23 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H117 zenon_H135 zenon_H2d zenon_H57 zenon_H11d zenon_H387 zenon_H37f zenon_Hea zenon_H110 zenon_Hfa zenon_Hc7 zenon_H18 zenon_H377 zenon_H35d zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.65 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_L552_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_L561_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.66 apply (zenon_L7_); trivial. % 49.46/49.66 apply (zenon_L8_); trivial. % 49.46/49.66 (* end of lemma zenon_L802_ *) % 49.46/49.66 assert (zenon_L803_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H3a zenon_H13a zenon_H122 zenon_H180 zenon_H18b zenon_H365 zenon_H135 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_H18e zenon_H117 zenon_H36b zenon_H33 zenon_Hc7 zenon_Hfa zenon_H37f zenon_H387 zenon_H11d zenon_H23 zenon_H40 zenon_H76 zenon_H11b zenon_H368 zenon_Hd6 zenon_H12b zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_H360 zenon_H126 zenon_H7b zenon_H111 zenon_H142 zenon_H96 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H185 zenon_Hd9 zenon_H146 zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H10b zenon_H72 zenon_H160 zenon_H19 zenon_H82 zenon_H8b zenon_Hf7 zenon_H58 zenon_H4f zenon_He7 zenon_Hea zenon_H20 zenon_H9e zenon_H8c zenon_He0 zenon_H9a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_Hae. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.46/49.66 apply (zenon_L542_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.46/49.66 apply (zenon_L47_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.46/49.66 apply (zenon_L48_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H110 | zenon_intro zenon_H36c ]. % 49.46/49.66 apply (zenon_L802_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_Hde | zenon_intro zenon_H36d ]. % 49.46/49.66 apply (zenon_L505_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H369 | zenon_intro zenon_Hc8 ]. % 49.46/49.66 apply (zenon_L716_); trivial. % 49.46/49.66 apply (zenon_L507_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.66 apply (zenon_L717_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.66 apply (zenon_L800_); trivial. % 49.46/49.66 apply (zenon_L508_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.66 apply (zenon_L26_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.66 apply (zenon_L28_); trivial. % 49.46/49.66 apply (zenon_L52_); trivial. % 49.46/49.66 (* end of lemma zenon_L803_ *) % 49.46/49.66 assert (zenon_L804_ : ((op1 (e13) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e10)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (~((e10) = (e13))) -> ((op1 (e10) (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) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H11b zenon_H387 zenon_H37f zenon_Hfa zenon_H18b zenon_Hf7 zenon_H58 zenon_H12b zenon_H11d zenon_H15a zenon_Hfd zenon_H63 zenon_H154 zenon_He0 zenon_Hc7 zenon_H360 zenon_H126 zenon_H122 zenon_H7b zenon_H111 zenon_H142 zenon_H36b zenon_H96 zenon_H76 zenon_H368 zenon_Hd6 zenon_H13f zenon_H11e zenon_H99 zenon_H155 zenon_H113 zenon_H161 zenon_H15f zenon_H190 zenon_H353 zenon_H362 zenon_H185 zenon_Hd9 zenon_H146 zenon_H8b zenon_H151 zenon_H18d zenon_H16c zenon_H187 zenon_H108 zenon_H82 zenon_H23 zenon_H40 zenon_H10b zenon_H72 zenon_H160 zenon_H19 zenon_H33 zenon_H180 zenon_H365 zenon_H36e zenon_H173 zenon_H4f zenon_Hea zenon_H135 zenon_H3a zenon_H20 zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H2d zenon_H18 zenon_H377 zenon_H35d zenon_Hae zenon_H18e zenon_H9e zenon_H8c zenon_He7 zenon_H13a zenon_H6c zenon_H1f zenon_Hbe zenon_H24 zenon_H117. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.66 apply (zenon_L491_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.66 apply (zenon_L803_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.66 apply (zenon_L59_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf8 ]. % 49.46/49.66 apply (zenon_L543_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf9 ]. % 49.46/49.66 apply (zenon_L47_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf3 ]. % 49.46/49.66 apply (zenon_L48_); trivial. % 49.46/49.66 apply (zenon_L800_); trivial. % 49.46/49.66 (* end of lemma zenon_L804_ *) % 49.46/49.66 assert (zenon_L805_ : ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H24 zenon_H6c zenon_H13a zenon_He7 zenon_H8c zenon_H9e zenon_H18e zenon_Hae zenon_H20 zenon_H3a zenon_H135 zenon_Hea zenon_H4f zenon_H173 zenon_H36e zenon_H365 zenon_H180 zenon_H33 zenon_H19 zenon_H160 zenon_H72 zenon_H10b zenon_H40 zenon_H23 zenon_H82 zenon_H108 zenon_H187 zenon_H16c zenon_H18d zenon_H151 zenon_H8b zenon_H146 zenon_Hd9 zenon_H185 zenon_H362 zenon_H353 zenon_H190 zenon_H15f zenon_H161 zenon_H113 zenon_H155 zenon_H99 zenon_H11e zenon_H13f zenon_Hd6 zenon_H368 zenon_H76 zenon_H96 zenon_H36b zenon_H142 zenon_H111 zenon_H7b zenon_H122 zenon_H126 zenon_H360 zenon_Hc7 zenon_He0 zenon_H154 zenon_H63 zenon_Hfd zenon_H15a zenon_H11d zenon_H12b zenon_H58 zenon_Hf7 zenon_H18b zenon_Hfa zenon_H37f zenon_H387 zenon_H4e zenon_H67 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L574_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.66 apply (zenon_L21_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.66 apply (zenon_L801_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.66 apply (zenon_L88_); trivial. % 49.46/49.66 apply (zenon_L804_); trivial. % 49.46/49.66 apply (zenon_L787_); trivial. % 49.46/49.66 (* end of lemma zenon_L805_ *) % 49.46/49.66 assert (zenon_L806_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_Hd9 zenon_H58 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_Hbe zenon_H6c zenon_Hae zenon_Hab zenon_H8c zenon_H9e zenon_H99 zenon_H9a zenon_H96 zenon_H76 zenon_Hd6 zenon_H4f zenon_H94 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.66 apply (zenon_L17_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.66 apply (zenon_L26_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.66 apply (zenon_L28_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_L40_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_L481_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 (* end of lemma zenon_L806_ *) % 49.46/49.66 assert (zenon_L807_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e13))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H154 zenon_Hfa zenon_H18d zenon_H33 zenon_Hfd zenon_H7b zenon_H19e zenon_H39d zenon_H14 zenon_H314 zenon_H13 zenon_H42d zenon_H1f zenon_H117 zenon_H4f zenon_Hd6 zenon_H76 zenon_H96 zenon_H9a zenon_H99 zenon_H9e zenon_H8c zenon_Hab zenon_Hae zenon_H6c zenon_H24 zenon_Hc7 zenon_H35d zenon_H8b zenon_H20 zenon_H82 zenon_H56 zenon_Hd9 zenon_H94 zenon_H58. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L574_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_L806_); trivial. % 49.46/49.66 apply (zenon_L42_); trivial. % 49.46/49.66 (* end of lemma zenon_L807_ *) % 49.46/49.66 assert (zenon_L808_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H60 zenon_H58 zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_H6c zenon_Hae zenon_H8c zenon_H9e zenon_H99 zenon_H76 zenon_Hd6 zenon_H4f zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_Hab zenon_H96. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.46/49.66 apply (zenon_L21_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.46/49.66 apply (zenon_L22_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.66 apply (zenon_L23_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.66 apply (zenon_L24_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.66 apply (zenon_L807_); trivial. % 49.46/49.66 apply (zenon_L43_); trivial. % 49.46/49.66 (* end of lemma zenon_L808_ *) % 49.46/49.66 assert (zenon_L809_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H154 zenon_H4e zenon_H7b zenon_Hae zenon_H24 zenon_H6c zenon_H9a zenon_He0 zenon_H8c zenon_H9e zenon_H20 zenon_Hea zenon_He7 zenon_H4f zenon_H58 zenon_Hf7 zenon_H8b zenon_H82 zenon_H11e zenon_H64 zenon_H99 zenon_H11d zenon_Hd9 zenon_H35d zenon_H377 zenon_H18 zenon_H2d zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L113_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_L580_); trivial. % 49.46/49.66 apply (zenon_L787_); trivial. % 49.46/49.66 (* end of lemma zenon_L809_ *) % 49.46/49.66 assert (zenon_L810_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H40 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8c zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.66 apply (zenon_L6_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.66 apply (zenon_L18_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.66 apply (zenon_L20_); trivial. % 49.46/49.66 apply (zenon_L808_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.66 apply (zenon_L44_); trivial. % 49.46/49.66 apply (zenon_L61_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.66 apply (zenon_L7_); trivial. % 49.46/49.66 apply (zenon_L8_); trivial. % 49.46/49.66 (* end of lemma zenon_L810_ *) % 49.46/49.66 assert (zenon_L811_ : (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H58 zenon_Hd9 zenon_H56 zenon_H82 zenon_H20 zenon_H8b zenon_H35d zenon_Hc7 zenon_H24 zenon_H6c zenon_Hae zenon_Hab zenon_H9e zenon_H99 zenon_H9a zenon_H96 zenon_H76 zenon_Hd6 zenon_H7b zenon_Hfd zenon_H33 zenon_H18d zenon_Hfa zenon_H154 zenon_H353 zenon_H60 zenon_Hea zenon_Hfb zenon_Haf zenon_H18e zenon_H38e zenon_H108 zenon_He0 zenon_H63 zenon_H4f zenon_H94 zenon_H117 zenon_H1f zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.66 apply (zenon_L29_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.66 apply (zenon_L30_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.66 apply (zenon_L60_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H177 | zenon_intro zenon_H38f ]. % 49.46/49.66 apply (zenon_L146_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_He6 | zenon_intro zenon_H390 ]. % 49.46/49.66 apply (zenon_L479_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H110 | zenon_intro zenon_H8c ]. % 49.46/49.66 apply (zenon_L697_); trivial. % 49.46/49.66 apply (zenon_L807_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_L481_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 (* end of lemma zenon_L811_ *) % 49.46/49.66 assert (zenon_L812_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H38e zenon_H13a zenon_H122 zenon_H180 zenon_H365 zenon_H142 zenon_H36b zenon_H36e zenon_H173 zenon_H111 zenon_H360 zenon_H126 zenon_H155 zenon_H187 zenon_H151 zenon_H146 zenon_H362 zenon_H353 zenon_H18e zenon_H190 zenon_H113 zenon_H11d zenon_H12b zenon_H368 zenon_H185 zenon_H135 zenon_H15a zenon_H40 zenon_H82 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_Hd9 zenon_H8b zenon_Hfd zenon_Hae zenon_H6c zenon_H9e zenon_Hea zenon_H4f zenon_H58 zenon_Hf7 zenon_Hfa zenon_H96 zenon_H10b zenon_H15f zenon_H16c zenon_H67 zenon_H160 zenon_H72 zenon_H23 zenon_H35d zenon_Hc7 zenon_H76 zenon_Hd6 zenon_H117 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H7b zenon_H18d zenon_H154 zenon_H2d zenon_H161 zenon_H33 zenon_H24 zenon_H1f zenon_H20 zenon_H3a. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.66 apply (zenon_L6_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.66 apply (zenon_L18_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.66 apply (zenon_L20_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.46/49.66 apply (zenon_L113_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.46/49.66 apply (zenon_L22_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.66 apply (zenon_L23_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.66 apply (zenon_L24_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hfe ]. % 49.46/49.66 apply (zenon_L7_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hff ]. % 49.46/49.66 apply (zenon_L144_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H89 | zenon_intro zenon_Hfb ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H39 | zenon_intro zenon_H136 ]. % 49.46/49.66 apply (zenon_L8_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hdc | zenon_intro zenon_H137 ]. % 49.46/49.66 apply (zenon_L42_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Haf | zenon_intro zenon_H12c ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H8c | zenon_intro zenon_H152 ]. % 49.46/49.66 apply (zenon_L810_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H145 | zenon_intro zenon_H153 ]. % 49.46/49.66 apply (zenon_L93_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hfb | zenon_intro zenon_H12c ]. % 49.46/49.66 apply (zenon_L811_); trivial. % 49.46/49.66 apply (zenon_L104_); trivial. % 49.46/49.66 apply (zenon_L104_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.66 apply (zenon_L17_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.66 apply (zenon_L26_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.66 apply (zenon_L132_); trivial. % 49.46/49.66 apply (zenon_L811_); trivial. % 49.46/49.66 apply (zenon_L43_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.66 apply (zenon_L44_); trivial. % 49.46/49.66 apply (zenon_L664_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.66 apply (zenon_L7_); trivial. % 49.46/49.66 apply (zenon_L8_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.66 apply (zenon_L17_); trivial. % 49.46/49.66 apply (zenon_L810_); trivial. % 49.46/49.66 (* end of lemma zenon_L812_ *) % 49.46/49.66 assert (zenon_L813_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False). % 49.46/49.66 do 0 intro. intros zenon_Hd6 zenon_H76 zenon_H91 zenon_H96 zenon_H94 zenon_H82 zenon_H20 zenon_H1f zenon_H24 zenon_H99 zenon_H63 zenon_H56 zenon_He0 zenon_H108 zenon_H9e zenon_H110. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H92 | zenon_intro zenon_Hd7 ]. % 49.46/49.66 apply (zenon_L29_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H95 | zenon_intro zenon_Hd8 ]. % 49.46/49.66 apply (zenon_L30_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H9b | zenon_intro zenon_Hc8 ]. % 49.46/49.66 apply (zenon_L60_); trivial. % 49.46/49.66 apply (zenon_L697_); trivial. % 49.46/49.66 (* end of lemma zenon_L813_ *) % 49.46/49.66 assert (zenon_L814_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.46/49.66 do 0 intro. intros zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H314 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.46/49.66 apply (zenon_L13_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.46/49.66 apply (zenon_L13_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.46/49.66 apply (zenon_L18_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.46/49.66 apply (zenon_L113_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_L552_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.66 apply (zenon_L112_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.66 apply (zenon_L792_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L557_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.46/49.66 apply (zenon_L7_); trivial. % 49.46/49.66 apply (zenon_L8_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.46/49.66 apply (zenon_L4_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.46/49.66 apply (zenon_L6_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.66 apply (zenon_L18_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.66 apply (zenon_L23_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.66 apply (zenon_L24_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L113_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_L795_); trivial. % 49.46/49.66 apply (zenon_L787_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L574_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.46/49.66 apply (zenon_L797_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.46/49.66 apply (zenon_L795_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.46/49.66 apply (zenon_L59_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H57 | zenon_intro zenon_Hda ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_L552_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.66 apply (zenon_L137_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.66 apply (zenon_L805_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L557_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H81 | zenon_intro zenon_Hdb ]. % 49.46/49.66 apply (zenon_L26_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H89 | zenon_intro zenon_Haf ]. % 49.46/49.66 apply (zenon_L28_); trivial. % 49.46/49.66 apply (zenon_L794_); trivial. % 49.46/49.66 apply (zenon_L787_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.66 apply (zenon_L23_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.66 apply (zenon_L24_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.46/49.66 apply (zenon_L113_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.46/49.66 apply (zenon_L25_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H56 | zenon_intro zenon_H158 ]. % 49.46/49.66 apply (zenon_L808_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H64 | zenon_intro zenon_H159 ]. % 49.46/49.66 apply (zenon_L795_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H13d | zenon_intro zenon_H11b ]. % 49.46/49.66 apply (zenon_L88_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.46/49.66 apply (zenon_L552_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H177 | zenon_intro zenon_H392 ]. % 49.46/49.66 apply (zenon_L121_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_He7 | zenon_intro zenon_H393 ]. % 49.46/49.66 apply (zenon_L804_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H37e | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L557_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.46/49.66 apply (zenon_L65_); trivial. % 49.46/49.66 apply (zenon_L786_); trivial. % 49.46/49.66 apply (zenon_L787_); trivial. % 49.46/49.66 apply (zenon_L43_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.46/49.66 apply (zenon_L44_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H17 | zenon_intro zenon_H191 ]. % 49.46/49.66 apply (zenon_L14_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H60 | zenon_intro zenon_H192 ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.46/49.66 apply (zenon_L18_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.46/49.66 apply (zenon_L19_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H73 | zenon_intro zenon_H167 ]. % 49.46/49.66 apply (zenon_L23_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H75 | zenon_intro zenon_H168 ]. % 49.46/49.66 apply (zenon_L24_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9a | zenon_intro zenon_Hde ]. % 49.46/49.66 apply (zenon_L809_); trivial. % 49.46/49.66 apply (zenon_L505_); trivial. % 49.46/49.66 apply (zenon_L47_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H188 | zenon_intro zenon_H18b ]. % 49.46/49.66 apply (zenon_L140_); trivial. % 49.46/49.66 apply (zenon_L805_); trivial. % 49.46/49.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.55/49.67 apply (zenon_L7_); trivial. % 49.55/49.67 apply (zenon_L8_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.55/49.67 apply (zenon_L142_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.55/49.67 apply (zenon_L113_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.55/49.67 apply (zenon_L69_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.55/49.67 apply (zenon_L113_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.55/49.67 apply (zenon_L25_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.55/49.67 apply (zenon_L797_); trivial. % 49.55/49.67 apply (zenon_L787_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.55/49.67 apply (zenon_L113_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.55/49.67 apply (zenon_L802_); trivial. % 49.55/49.67 apply (zenon_L63_); trivial. % 49.55/49.67 apply (zenon_L70_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.55/49.67 apply (zenon_L13_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.55/49.67 apply (zenon_L18_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H72 | zenon_intro zenon_H162 ]. % 49.55/49.67 apply (zenon_L812_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H10e | zenon_intro zenon_H169 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.55/49.67 apply (zenon_L544_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.55/49.67 apply (zenon_L17_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.55/49.67 apply (zenon_L6_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H5b | zenon_intro zenon_H165 ]. % 49.55/49.67 apply (zenon_L18_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H61 | zenon_intro zenon_H166 ]. % 49.55/49.67 apply (zenon_L19_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H64 | zenon_intro zenon_Hab ]. % 49.55/49.67 apply (zenon_L20_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.55/49.67 apply (zenon_L142_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.55/49.67 apply (zenon_L19_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.55/49.67 apply (zenon_L22_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H54 | zenon_intro zenon_H156 ]. % 49.55/49.67 apply (zenon_L544_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H7a | zenon_intro zenon_H157 ]. % 49.55/49.67 apply (zenon_L25_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hdc ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_He4 | zenon_intro zenon_H10c ]. % 49.55/49.67 apply (zenon_L45_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H9a | zenon_intro zenon_H10d ]. % 49.55/49.67 apply (zenon_L806_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H101 | zenon_intro zenon_H9b ]. % 49.55/49.67 apply (zenon_L59_); trivial. % 49.55/49.67 apply (zenon_L60_); trivial. % 49.55/49.67 apply (zenon_L42_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.55/49.67 apply (zenon_L44_); trivial. % 49.55/49.67 apply (zenon_L61_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.55/49.67 apply (zenon_L7_); trivial. % 49.55/49.67 apply (zenon_L8_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_He4 | zenon_intro zenon_H110 ]. % 49.55/49.67 apply (zenon_L45_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H25 | zenon_intro zenon_H114 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H54 | zenon_intro zenon_H115 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.55/49.67 apply (zenon_L4_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H2b | zenon_intro zenon_H163 ]. % 49.55/49.67 apply (zenon_L6_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H60 | zenon_intro zenon_H164 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H4e | zenon_intro zenon_H171 ]. % 49.55/49.67 apply (zenon_L21_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H61 | zenon_intro zenon_H172 ]. % 49.55/49.67 apply (zenon_L19_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H6b | zenon_intro zenon_H94 ]. % 49.55/49.67 apply (zenon_L22_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H91 | zenon_intro zenon_H35e ]. % 49.55/49.67 apply (zenon_L813_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H18b | zenon_intro zenon_H35f ]. % 49.55/49.67 apply (zenon_L481_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H116 | zenon_intro zenon_H35a ]. % 49.55/49.67 apply (zenon_L65_); trivial. % 49.55/49.67 apply (zenon_L786_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_He1 | zenon_intro zenon_He7 ]. % 49.55/49.67 apply (zenon_L44_); trivial. % 49.55/49.67 apply (zenon_L679_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.55/49.67 apply (zenon_L7_); trivial. % 49.55/49.67 apply (zenon_L8_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H57 | zenon_intro zenon_H8c ]. % 49.55/49.67 apply (zenon_L17_); trivial. % 49.55/49.67 apply (zenon_L63_); trivial. % 49.55/49.67 apply (zenon_L70_); trivial. % 49.55/49.67 apply (zenon_L550_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.55/49.67 apply (zenon_L110_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.55/49.67 apply (zenon_L111_); trivial. % 49.55/49.67 apply (zenon_L153_); trivial. % 49.55/49.67 (* end of lemma zenon_L814_ *) % 49.55/49.67 assert (zenon_L815_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (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)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H215 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H19b zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.55/49.67 apply (zenon_L382_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.55/49.67 apply (zenon_L404_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.55/49.67 apply (zenon_L217_); trivial. % 49.55/49.67 apply (zenon_L814_); trivial. % 49.55/49.67 (* end of lemma zenon_L815_ *) % 49.55/49.67 assert (zenon_L816_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (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)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H285 zenon_H28b zenon_H213 zenon_H1de zenon_H298 zenon_H1dd zenon_H317 zenon_H331 zenon_H194 zenon_H238 zenon_H1e6 zenon_H2b4 zenon_H261 zenon_H218 zenon_H33a zenon_H336 zenon_H264 zenon_H274 zenon_H1a6 zenon_H19b zenon_H241 zenon_H2a5 zenon_H205 zenon_H342 zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.55/49.67 apply (zenon_L221_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.55/49.67 apply (zenon_L220_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.55/49.67 apply (zenon_L209_); trivial. % 49.55/49.67 apply (zenon_L815_); trivial. % 49.55/49.67 (* end of lemma zenon_L816_ *) % 49.55/49.67 assert (zenon_L817_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e21) (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)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H1f0 zenon_H20c zenon_H241 zenon_H19b zenon_H1a6 zenon_H274 zenon_H28a zenon_H264 zenon_H336 zenon_H33a zenon_H297 zenon_H1d1 zenon_H1a7 zenon_H1b4 zenon_H2af zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.55/49.67 apply (zenon_L181_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.55/49.67 apply (zenon_L418_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.55/49.67 apply (zenon_L217_); trivial. % 49.55/49.67 apply (zenon_L814_); trivial. % 49.55/49.67 (* end of lemma zenon_L817_ *) % 49.55/49.67 assert (zenon_L818_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H31f zenon_H305 zenon_H29c zenon_H20f zenon_H2fa zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H20b | zenon_intro zenon_H320 ]. % 49.55/49.67 apply (zenon_L293_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H29b | zenon_intro zenon_H321 ]. % 49.55/49.67 apply (zenon_L222_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H20c | zenon_intro zenon_H1b3 ]. % 49.55/49.67 apply (zenon_L434_); trivial. % 49.55/49.67 apply (zenon_L160_); trivial. % 49.55/49.67 (* end of lemma zenon_L818_ *) % 49.55/49.67 assert (zenon_L819_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1b4 zenon_H19b zenon_H2fa zenon_H20f zenon_H29c zenon_H31f zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.55/49.67 apply (zenon_L382_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.55/49.67 apply (zenon_L818_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.55/49.67 apply (zenon_L217_); trivial. % 49.55/49.67 apply (zenon_L814_); trivial. % 49.55/49.67 (* end of lemma zenon_L819_ *) % 49.55/49.67 assert (zenon_L820_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H2cf zenon_H2b9 zenon_H1c9 zenon_H28d zenon_H19d zenon_H301 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H277 zenon_H1ad zenon_H307 zenon_H2d4 zenon_H2c0 zenon_H2cb zenon_H253 zenon_H2ff zenon_H282 zenon_H25a zenon_H1dd zenon_H228 zenon_H308 zenon_H213 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1fc zenon_H2f4 zenon_H30a zenon_H1d2 zenon_H2d8 zenon_H298 zenon_H2bc zenon_H285 zenon_H1f5 zenon_H2ce zenon_H2fc zenon_H2da zenon_H28b zenon_H1c4 zenon_H2e5 zenon_H1bd zenon_H1ba zenon_H2f2 zenon_H2e4 zenon_H322 zenon_H325 zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H377 zenon_H37f zenon_H387 zenon_H38e zenon_H39d zenon_H13 zenon_H42d zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H291 zenon_H2af zenon_H1a7 zenon_H1d1 zenon_H297 zenon_H342 zenon_H205 zenon_H2a5 zenon_H241 zenon_H1a6 zenon_H274 zenon_H264 zenon_H336 zenon_H33a zenon_H218 zenon_H261 zenon_H1e6 zenon_H238 zenon_H194 zenon_H331 zenon_H317 zenon_H31f zenon_H305 zenon_H2fa zenon_H29c zenon_H2b4 zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.55/49.67 apply (zenon_L169_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.55/49.67 apply (zenon_L816_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.55/49.67 apply (zenon_L240_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.55/49.67 apply (zenon_L817_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.55/49.67 apply (zenon_L336_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.55/49.67 apply (zenon_L420_); trivial. % 49.55/49.67 apply (zenon_L339_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.55/49.67 apply (zenon_L819_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.55/49.67 apply (zenon_L815_); trivial. % 49.55/49.67 apply (zenon_L339_); trivial. % 49.55/49.67 (* end of lemma zenon_L820_ *) % 49.55/49.67 assert (zenon_L821_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H317 zenon_H331 zenon_H194 zenon_H1a7 zenon_H256 zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.55/49.67 apply (zenon_L382_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.55/49.67 apply (zenon_L335_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.55/49.67 apply (zenon_L217_); trivial. % 49.55/49.67 apply (zenon_L814_); trivial. % 49.55/49.67 (* end of lemma zenon_L821_ *) % 49.55/49.67 assert (zenon_L822_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.67 do 0 intro. intros zenon_H253 zenon_H1d2 zenon_H1d0 zenon_H1fc zenon_H19b zenon_H205 zenon_H317 zenon_H241 zenon_H238 zenon_H1e6 zenon_H228 zenon_H225 zenon_H206 zenon_H218 zenon_H213 zenon_H214 zenon_H210 zenon_H1f0 zenon_H250 zenon_H1c9 zenon_H20e zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.55/49.67 apply (zenon_L169_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.55/49.67 apply (zenon_L178_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.55/49.67 apply (zenon_L180_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.55/49.67 apply (zenon_L192_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.55/49.67 apply (zenon_L312_); trivial. % 49.55/49.67 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.55/49.67 apply (zenon_L217_); trivial. % 49.55/49.67 apply (zenon_L814_); trivial. % 49.55/49.67 (* end of lemma zenon_L822_ *) % 49.55/49.67 assert (zenon_L823_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H1ba zenon_H1fc zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H253 zenon_H206 zenon_H205 zenon_H277 zenon_H228 zenon_H1e6 zenon_H218 zenon_H264 zenon_H1c9 zenon_H1d2 zenon_H271 zenon_H274 zenon_H210 zenon_H285 zenon_H2d9 zenon_H2e6 zenon_H1e1 zenon_H2da zenon_H1ec zenon_H19d zenon_H317 zenon_H241 zenon_H1f0 zenon_H250 zenon_H291 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H39d zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H1f5 zenon_H307 zenon_H2ce zenon_H1a7 zenon_H2db zenon_H1ad zenon_H19e zenon_H14 zenon_H19b zenon_H1b4. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.55/49.68 apply (zenon_L156_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.55/49.68 apply (zenon_L158_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.55/49.68 apply (zenon_L170_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.55/49.68 apply (zenon_L171_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.55/49.68 apply (zenon_L172_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.55/49.68 apply (zenon_L173_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.55/49.68 apply (zenon_L171_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.55/49.68 apply (zenon_L174_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.55/49.68 apply (zenon_L175_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.55/49.68 apply (zenon_L176_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.55/49.68 apply (zenon_L444_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.55/49.68 apply (zenon_L177_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.55/49.68 apply (zenon_L822_); trivial. % 49.55/49.68 apply (zenon_L194_); trivial. % 49.55/49.68 apply (zenon_L195_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.55/49.68 apply (zenon_L196_); trivial. % 49.55/49.68 apply (zenon_L213_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.55/49.68 apply (zenon_L159_); trivial. % 49.55/49.68 apply (zenon_L160_); trivial. % 49.55/49.68 (* end of lemma zenon_L823_ *) % 49.55/49.68 assert (zenon_L824_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H253 zenon_H1b4 zenon_H2b4 zenon_H29c zenon_H2fa zenon_H305 zenon_H31f zenon_H2af zenon_H1a7 zenon_H308 zenon_H291 zenon_H317 zenon_H331 zenon_H194 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H39d zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f zenon_H325 zenon_H297 zenon_H33a zenon_H336 zenon_H274 zenon_H1a6 zenon_H241 zenon_H1f0 zenon_H295 zenon_H322 zenon_H250 zenon_H277 zenon_H1ad zenon_H28b zenon_H2bc zenon_H2d4 zenon_H210 zenon_H2a5 zenon_H1fc zenon_H205 zenon_H271 zenon_H1d2 zenon_H1c9 zenon_H261 zenon_H264 zenon_H19b zenon_H218 zenon_H206 zenon_H25a zenon_H214 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H228. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 49.55/49.68 apply (zenon_L368_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H225 | zenon_intro zenon_H273 ]. % 49.55/49.68 apply (zenon_L199_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H263 | zenon_intro zenon_H26d ]. % 49.55/49.68 apply (zenon_L200_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.55/49.68 apply (zenon_L817_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.55/49.68 apply (zenon_L336_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.55/49.68 apply (zenon_L451_); trivial. % 49.55/49.68 apply (zenon_L339_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.55/49.68 apply (zenon_L819_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.55/49.68 apply (zenon_L449_); trivial. % 49.55/49.68 apply (zenon_L339_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.55/49.68 apply (zenon_L178_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.55/49.68 apply (zenon_L180_); trivial. % 49.55/49.68 apply (zenon_L204_); trivial. % 49.55/49.68 (* end of lemma zenon_L824_ *) % 49.55/49.68 assert (zenon_L825_ : ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e12) (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((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 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H1ec zenon_H1e1 zenon_H1a6 zenon_H274 zenon_H336 zenon_H33a zenon_H4f zenon_H113 zenon_H23 zenon_H180 zenon_H187 zenon_H1f zenon_H15f zenon_H16c zenon_H67 zenon_H6c zenon_Hfd zenon_H33 zenon_H18d zenon_H15a zenon_H146 zenon_H151 zenon_Hd9 zenon_H185 zenon_H108 zenon_He0 zenon_H63 zenon_Hc7 zenon_Hea zenon_Hae zenon_H18e zenon_H99 zenon_H96 zenon_H76 zenon_Hd6 zenon_H24 zenon_H20 zenon_H82 zenon_H17a zenon_H190 zenon_H58 zenon_H2d zenon_H15e zenon_H117 zenon_H11d zenon_H13a zenon_H135 zenon_H3a zenon_H11e zenon_H142 zenon_H10b zenon_H7b zenon_H154 zenon_H12b zenon_H8b zenon_H182 zenon_H160 zenon_H111 zenon_H4a zenon_H16b zenon_H43 zenon_H40 zenon_H178 zenon_H16a zenon_H173 zenon_H19 zenon_Hf7 zenon_Hfa zenon_H9e zenon_H155 zenon_H122 zenon_H126 zenon_H13f zenon_H161 zenon_H391 zenon_H377 zenon_H37f zenon_H387 zenon_H38e zenon_H39d zenon_H13 zenon_H42d zenon_H371 zenon_H362 zenon_H35d zenon_H360 zenon_H36b zenon_H368 zenon_H36e zenon_H365 zenon_H3a9 zenon_H331 zenon_H271 zenon_H210 zenon_H28d zenon_H1ad zenon_H2db zenon_H2d9 zenon_H30a zenon_H30d zenon_H250 zenon_H1f0 zenon_H2a5 zenon_H31c zenon_H241 zenon_H317 zenon_H2ff zenon_H253 zenon_H2c0 zenon_H205 zenon_H2cb zenon_H2d4 zenon_H307 zenon_H277 zenon_H2e6 zenon_H301 zenon_H2cf zenon_H29c zenon_H2a0 zenon_H31a zenon_H282 zenon_H25a zenon_H213 zenon_H1dd zenon_H1fc zenon_H19d zenon_H1ba zenon_H28b zenon_H1d2 zenon_H2fc zenon_H297 zenon_H298 zenon_H2b9 zenon_H325 zenon_H322 zenon_H1f5 zenon_H2ce zenon_H2bc zenon_H285 zenon_H2ed zenon_H328 zenon_H31f zenon_H2fa zenon_H195 zenon_H194 zenon_H2da zenon_H2d8 zenon_H1c9 zenon_H264 zenon_H2af zenon_H1b4 zenon_H19b zenon_H1a7 zenon_H305 zenon_H228 zenon_H308 zenon_H218 zenon_H206 zenon_H261 zenon_H2b4 zenon_H1e6 zenon_H14 zenon_H238 zenon_H19e zenon_H291. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.55/49.68 apply (zenon_L823_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.55/49.68 apply (zenon_L450_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.55/49.68 apply (zenon_L240_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.55/49.68 apply (zenon_L322_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.55/49.68 apply (zenon_L824_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.55/49.68 apply (zenon_L211_); trivial. % 49.55/49.68 apply (zenon_L452_); trivial. % 49.55/49.68 (* end of lemma zenon_L825_ *) % 49.55/49.68 assert (zenon_L826_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e23))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H2ce zenon_H1d2 zenon_H1c8 zenon_H1f5 zenon_H228 zenon_H19e zenon_H14 zenon_H1e6 zenon_H308 zenon_H261 zenon_H206 zenon_H218 zenon_H213 zenon_H1de zenon_H1c9 zenon_H19b zenon_H29c zenon_H2a0 zenon_H205 zenon_H1fc zenon_H25e zenon_H28b zenon_H253 zenon_H305 zenon_H1a7. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.55/49.68 apply (zenon_L265_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.55/49.68 apply (zenon_L177_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.55/49.68 apply (zenon_L397_); trivial. % 49.55/49.68 apply (zenon_L335_); trivial. % 49.55/49.68 (* end of lemma zenon_L826_ *) % 49.55/49.68 assert (zenon_L827_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e11) = (op1 (e12) (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e12) (op1 (e12) (e12))) (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e10) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H348 zenon_H19d zenon_H28d zenon_H1a7 zenon_H305 zenon_H253 zenon_H28b zenon_H25e zenon_H1fc zenon_H205 zenon_H2a0 zenon_H29c zenon_H19b zenon_H1c9 zenon_H1de zenon_H213 zenon_H218 zenon_H206 zenon_H308 zenon_H1e6 zenon_H228 zenon_H1f5 zenon_H1c8 zenon_H1d2 zenon_H2ce zenon_H336 zenon_H3a9 zenon_H365 zenon_H36e zenon_H368 zenon_H36b zenon_H360 zenon_H35d zenon_H362 zenon_H371 zenon_H42d zenon_H13 zenon_H14 zenon_H39d zenon_H19e zenon_H38e zenon_H387 zenon_H37f zenon_H377 zenon_H391 zenon_H161 zenon_H13f zenon_H126 zenon_H122 zenon_H155 zenon_H9e zenon_Hfa zenon_Hf7 zenon_H19 zenon_H173 zenon_H16a zenon_H178 zenon_H40 zenon_H43 zenon_H16b zenon_H4a zenon_H111 zenon_H160 zenon_H182 zenon_H8b zenon_H12b zenon_H154 zenon_H7b zenon_H10b zenon_H142 zenon_H11e zenon_H3a zenon_H135 zenon_H13a zenon_H11d zenon_H117 zenon_H15e zenon_H2d zenon_H58 zenon_H190 zenon_H17a zenon_H82 zenon_H20 zenon_H24 zenon_Hd6 zenon_H76 zenon_H96 zenon_H99 zenon_H18e zenon_Hae zenon_Hea zenon_Hc7 zenon_H63 zenon_He0 zenon_H108 zenon_H185 zenon_Hd9 zenon_H151 zenon_H146 zenon_H15a zenon_H18d zenon_H33 zenon_Hfd zenon_H6c zenon_H67 zenon_H16c zenon_H15f zenon_H1f zenon_H187 zenon_H180 zenon_H23 zenon_H113 zenon_H4f. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.55/49.68 apply (zenon_L290_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.55/49.68 apply (zenon_L826_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.55/49.68 apply (zenon_L386_); trivial. % 49.55/49.68 apply (zenon_L814_); trivial. % 49.55/49.68 (* end of lemma zenon_L827_ *) % 49.55/49.68 assert (zenon_L828_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e22) (op2 (e22) (e22)))) -> ((e20) = (op2 (e22) (e22))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 49.55/49.68 do 0 intro. intros zenon_H250 zenon_H1f0 zenon_H20b zenon_H210 zenon_H20e zenon_H1fc zenon_H19b zenon_H14 zenon_H19e zenon_H213 zenon_H1dd zenon_H1d0 zenon_H25a zenon_H282 zenon_H218 zenon_H28a. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.55/49.68 apply (zenon_L181_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.55/49.68 apply (zenon_L182_); trivial. % 49.55/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.55/49.68 apply (zenon_L212_); trivial. % 49.55/49.68 apply (zenon_L703_); trivial. % 49.55/49.68 (* end of lemma zenon_L828_ *) % 49.55/49.68 assert (zenon_L829_ : (~(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23)))))) -> ((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) -> False). % 49.55/49.68 do 0 intro. intros zenon_H433 zenon_H39d zenon_H19e. % 49.55/49.68 apply (zenon_notor_s _ _ zenon_H433). zenon_intro zenon_H435. zenon_intro zenon_H434. % 49.55/49.68 apply (zenon_notor_s _ _ zenon_H434). zenon_intro zenon_H437. zenon_intro zenon_H436. % 49.55/49.68 apply (zenon_notor_s _ _ zenon_H436). zenon_intro zenon_H438. zenon_intro zenon_H3ac. % 49.55/49.68 apply (zenon_L656_); trivial. % 49.55/49.68 (* end of lemma zenon_L829_ *) % 49.55/49.68 apply NNPP. intro zenon_G. % 49.55/49.68 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H37b. zenon_intro zenon_H439. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H43b. zenon_intro zenon_H43a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H36e. zenon_intro zenon_H43c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H38e. zenon_intro zenon_H43d. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H43f. zenon_intro zenon_H43e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H43e). zenon_intro zenon_H441. zenon_intro zenon_H440. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H440). zenon_intro zenon_H108. zenon_intro zenon_H442. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H182. zenon_intro zenon_H443. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H445. zenon_intro zenon_H444. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H447. zenon_intro zenon_H446. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_H449. zenon_intro zenon_H448. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_H387. zenon_intro zenon_H44a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H365. zenon_intro zenon_H44b. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H44d. zenon_intro zenon_H44c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H11e. zenon_intro zenon_H362. % 49.55/49.68 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H3a9. zenon_intro zenon_H44e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H16a. zenon_intro zenon_H44f. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_H16b. zenon_intro zenon_H450. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_H371. zenon_intro zenon_H451. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_H15e. zenon_intro zenon_H452. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H396. zenon_intro zenon_H453. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_H113. zenon_intro zenon_H454. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H40. zenon_intro zenon_H455. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H455). zenon_intro zenon_H161. zenon_intro zenon_H456. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H190. zenon_intro zenon_H457. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H15f. zenon_intro zenon_H458. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H16c. zenon_intro zenon_H459. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H459). zenon_intro zenon_H160. zenon_intro zenon_H45a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H3f3. zenon_intro zenon_H45b. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H45b). zenon_intro zenon_H45d. zenon_intro zenon_H45c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H154. zenon_intro zenon_H45e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H460. zenon_intro zenon_H45f. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H45f). zenon_intro zenon_H462. zenon_intro zenon_H461. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H464. zenon_intro zenon_H463. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H155. zenon_intro zenon_H465. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H467. zenon_intro zenon_H466. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H10b. zenon_intro zenon_H468. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_Hfd. zenon_intro zenon_H469. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_Hd9. zenon_intro zenon_H46a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H35d. zenon_intro zenon_H46b. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H391. zenon_intro zenon_H46c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H126. zenon_intro zenon_H46d. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_Hf7. zenon_intro zenon_H46e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_Hd6. zenon_intro zenon_H46f. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_H36b. zenon_intro zenon_H470. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H135. zenon_intro zenon_H151. % 49.55/49.68 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H34b. zenon_intro zenon_H471. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H473. zenon_intro zenon_H472. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H328. zenon_intro zenon_H474. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H342. zenon_intro zenon_H475. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H477. zenon_intro zenon_H476. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_H479. zenon_intro zenon_H478. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H282. zenon_intro zenon_H47a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H2fc. zenon_intro zenon_H47b. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H47b). zenon_intro zenon_H47d. zenon_intro zenon_H47c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H47f. zenon_intro zenon_H47e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H481. zenon_intro zenon_H480. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H33a. zenon_intro zenon_H482. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H31f. zenon_intro zenon_H483. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H485. zenon_intro zenon_H484. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H298. zenon_intro zenon_H31c. % 49.55/49.68 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H487. zenon_intro zenon_H486. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H2e4. zenon_intro zenon_H488. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H488). zenon_intro zenon_H2e5. zenon_intro zenon_H489. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H32b. zenon_intro zenon_H48a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48a). zenon_intro zenon_H2d8. zenon_intro zenon_H48b. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H350. zenon_intro zenon_H48c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H28d. zenon_intro zenon_H48d. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H1ba. zenon_intro zenon_H48e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H2db. zenon_intro zenon_H48f. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H30a. zenon_intro zenon_H490. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H2d9. zenon_intro zenon_H491. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H2e6. zenon_intro zenon_H492. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H2da. zenon_intro zenon_H493. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H3f6. zenon_intro zenon_H494. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H496. zenon_intro zenon_H495. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H2ce. zenon_intro zenon_H497. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H499. zenon_intro zenon_H498. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H498). zenon_intro zenon_H49b. zenon_intro zenon_H49a. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H49d. zenon_intro zenon_H49c. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H2cf. zenon_intro zenon_H49e. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H4a0. zenon_intro zenon_H49f. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H285. zenon_intro zenon_H4a1. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H277. zenon_intro zenon_H4a2. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H253. zenon_intro zenon_H4a3. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H317. zenon_intro zenon_H4a4. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H348. zenon_intro zenon_H4a5. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H2a0. zenon_intro zenon_H4a6. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H271. zenon_intro zenon_H4a7. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H250. zenon_intro zenon_H4a8. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H325. zenon_intro zenon_H4a9. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H2af. zenon_intro zenon_H2cb. % 49.55/49.68 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H23. zenon_intro zenon_H4aa. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H4a. zenon_intro zenon_H4ab. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H377. zenon_intro zenon_H4ac. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H33. zenon_intro zenon_H4ad. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H3a. zenon_intro zenon_H4ae. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ae). zenon_intro zenon_H122. zenon_intro zenon_H4af. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H360. zenon_intro zenon_H4b0. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H18d. zenon_intro zenon_H4b1. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4b3. zenon_intro zenon_H4b2. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H13f. zenon_intro zenon_H4b4. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b4). zenon_intro zenon_H4b6. zenon_intro zenon_H4b5. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H142. zenon_intro zenon_H4b7. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H63. zenon_intro zenon_H4b8. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H173. zenon_intro zenon_H4b9. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_H11d. zenon_intro zenon_H4ba. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_He0. zenon_intro zenon_H4bb. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4bb). zenon_intro zenon_H99. zenon_intro zenon_H4bc. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4bc). zenon_intro zenon_H117. zenon_intro zenon_H4bd. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_H8b. zenon_intro zenon_H4be. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_Hfa. zenon_intro zenon_H4bf. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H9e. zenon_intro zenon_H4c0. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H185. zenon_intro zenon_H4c1. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H15a. zenon_intro zenon_H4c2. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c2). zenon_intro zenon_Hc7. zenon_intro zenon_H4c3. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H19. zenon_intro zenon_H4c4. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c4). zenon_intro zenon_H4c6. zenon_intro zenon_H4c5. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c5). zenon_intro zenon_H178. zenon_intro zenon_H4c7. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H67. zenon_intro zenon_H4c8. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c8). zenon_intro zenon_H17a. zenon_intro zenon_H4c9. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4c9). zenon_intro zenon_H4cb. zenon_intro zenon_H4ca. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_H7b. zenon_intro zenon_H4cc. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4cc). zenon_intro zenon_H82. zenon_intro zenon_H4cd. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4cd). zenon_intro zenon_H146. zenon_intro zenon_H4ce. % 49.55/49.68 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H4d0. zenon_intro zenon_H4cf. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4cf). zenon_intro zenon_H4d2. zenon_intro zenon_H4d1. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H4d4. zenon_intro zenon_H4d3. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d3). zenon_intro zenon_H6c. zenon_intro zenon_H4d5. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d5). zenon_intro zenon_H43. zenon_intro zenon_H4d6. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_Hea. zenon_intro zenon_H4d7. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_H187. zenon_intro zenon_H4d8. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_H368. zenon_intro zenon_H4d9. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H37f. zenon_intro zenon_H4da. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H180. zenon_intro zenon_H4db. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H18e. zenon_intro zenon_H4dc. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_H13a. zenon_intro zenon_H4dd. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4dd). zenon_intro zenon_Hae. zenon_intro zenon_H4de. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4de). zenon_intro zenon_H12b. zenon_intro zenon_H4df. % 49.57/49.68 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H19d. zenon_intro zenon_H4e0. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e0). zenon_intro zenon_H1c4. zenon_intro zenon_H4e1. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H331. zenon_intro zenon_H4e2. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e2). zenon_intro zenon_H1ad. zenon_intro zenon_H4e3. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H1b4. zenon_intro zenon_H4e4. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H29c. zenon_intro zenon_H4e5. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e5). zenon_intro zenon_H31a. zenon_intro zenon_H4e6. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H307. zenon_intro zenon_H4e7. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e9. zenon_intro zenon_H4e8. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H2b9. zenon_intro zenon_H4ea. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ea). zenon_intro zenon_H4ec. zenon_intro zenon_H4eb. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4eb). zenon_intro zenon_H2bc. zenon_intro zenon_H4ed. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H1dd. zenon_intro zenon_H4ee. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ee). zenon_intro zenon_H2ed. zenon_intro zenon_H4ef. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_H297. zenon_intro zenon_H4f0. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H25a. zenon_intro zenon_H4f1. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H213. zenon_intro zenon_H4f2. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H291. zenon_intro zenon_H4f3. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H205. zenon_intro zenon_H4f4. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H274. zenon_intro zenon_H4f5. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f5). zenon_intro zenon_H218. zenon_intro zenon_H4f6. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H2ff. zenon_intro zenon_H4f7. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H2d4. zenon_intro zenon_H4f8. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f8). zenon_intro zenon_H241. zenon_intro zenon_H4f9. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H195. zenon_intro zenon_H4fa. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H4fc. zenon_intro zenon_H4fb. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fb). zenon_intro zenon_H2f2. zenon_intro zenon_H4fd. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fd). zenon_intro zenon_H1e1. zenon_intro zenon_H4fe. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4fe). zenon_intro zenon_H2f4. zenon_intro zenon_H4ff. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H4ff). zenon_intro zenon_H501. zenon_intro zenon_H500. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H1f5. zenon_intro zenon_H502. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H1fc. zenon_intro zenon_H503. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_H2c0. zenon_intro zenon_H504. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H504). zenon_intro zenon_H506. zenon_intro zenon_H505. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H508. zenon_intro zenon_H507. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_H50a. zenon_intro zenon_H509. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H509). zenon_intro zenon_H1e6. zenon_intro zenon_H50b. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H1bd. zenon_intro zenon_H50c. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H50c). zenon_intro zenon_H264. zenon_intro zenon_H50d. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H301. zenon_intro zenon_H50e. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H322. zenon_intro zenon_H50f. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H50f). zenon_intro zenon_H336. zenon_intro zenon_H510. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H2fa. zenon_intro zenon_H511. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H511). zenon_intro zenon_H308. zenon_intro zenon_H512. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H2b4. zenon_intro zenon_H513. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H228. zenon_intro zenon_H514. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H2a5. zenon_intro zenon_H515. % 49.57/49.68 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H4f. zenon_intro zenon_H516. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H76. zenon_intro zenon_H517. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_H2d. zenon_intro zenon_H518. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H518). zenon_intro zenon_H96. zenon_intro zenon_H519. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H58. zenon_intro zenon_H111. % 49.57/49.68 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H1c9. zenon_intro zenon_H51a. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H1f0. zenon_intro zenon_H51b. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H1a7. zenon_intro zenon_H51c. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H210. zenon_intro zenon_H51d. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H1d2. zenon_intro zenon_H28b. % 49.57/49.68 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1f. zenon_intro zenon_H51e. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H20. zenon_intro zenon_H24. % 49.57/49.68 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H14. zenon_intro zenon_H51f. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H19b. zenon_intro zenon_H19e. % 49.57/49.68 apply (zenon_and_s _ _ ax16). zenon_intro zenon_H3b0. zenon_intro zenon_H520. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H13. zenon_intro zenon_H521. % 49.57/49.68 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H39a. zenon_intro zenon_H39d. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H523. zenon_intro zenon_H522. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H522). zenon_intro zenon_H525. zenon_intro zenon_H524. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H524). zenon_intro zenon_H527. zenon_intro zenon_H526. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H527); [ zenon_intro zenon_H529 | zenon_intro zenon_H528 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.57/49.68 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H529. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H13. % 49.57/49.68 cut (((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52b]. % 49.57/49.68 cut (((h3 (e10)) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52c]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [ zenon_intro zenon_H52d | zenon_intro zenon_H52e ]. % 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10)))) = ((h3 (e10)) = (h3 (op1 (e10) (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H52c. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H52d. % 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52e]. % 49.57/49.68 cut (((h3 (op1 (e10) (e10))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H52f]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 49.57/49.68 congruence. % 49.57/49.68 exact (zenon_H376 zenon_H18). % 49.57/49.68 apply zenon_H52e. apply refl_equal. % 49.57/49.68 apply zenon_H52e. apply refl_equal. % 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H530 | zenon_intro zenon_H531 ]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H52b. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H530. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H531]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H532]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H532. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H194. % 49.57/49.68 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 49.57/49.68 cut (((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H530 | zenon_intro zenon_H531 ]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H533. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H530. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H531]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.57/49.68 congruence. % 49.57/49.68 apply (zenon_L1_); trivial. % 49.57/49.68 apply (zenon_L1_); trivial. % 49.57/49.68 apply zenon_H531. apply refl_equal. % 49.57/49.68 apply zenon_H531. apply refl_equal. % 49.57/49.68 exact (zenon_H3c9 zenon_H14). % 49.57/49.68 apply zenon_H531. apply refl_equal. % 49.57/49.68 apply zenon_H531. apply refl_equal. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.57/49.68 apply (zenon_L110_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.57/49.68 apply (zenon_L111_); trivial. % 49.57/49.68 apply (zenon_L153_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H528); [ zenon_intro zenon_H39c | zenon_intro zenon_H536 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L654_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H536); [ zenon_intro zenon_H538 | zenon_intro zenon_H537 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H18 | zenon_intro zenon_H3aa ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H4b | zenon_intro zenon_H16f ]. % 49.57/49.68 apply (zenon_L13_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H4e | zenon_intro zenon_H170 ]. % 49.57/49.68 apply (zenon_L650_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H56 | zenon_intro zenon_He6 ]. % 49.57/49.68 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H538. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H39a. % 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H539]. % 49.57/49.68 cut (((h3 (e11)) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53a]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [ zenon_intro zenon_H53b | zenon_intro zenon_H53c ]. % 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12)))) = ((h3 (e11)) = (h3 (op1 (e10) (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H53a. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H53b. % 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H53c]. % 49.57/49.68 cut (((h3 (op1 (e10) (e12))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 49.57/49.68 congruence. % 49.57/49.68 exact (zenon_H53e zenon_H56). % 49.57/49.68 apply zenon_H53c. apply refl_equal. % 49.57/49.68 apply zenon_H53c. apply refl_equal. % 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H53f | zenon_intro zenon_H540 ]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H539. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H53f. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H540]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H541]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h3 (e10)) (h3 (e12))) = (op2 (e22) (op2 (e22) (e22))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H541. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H1d0. % 49.57/49.68 cut (((e21) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 49.57/49.68 cut (((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H542]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H53f | zenon_intro zenon_H540 ]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H542. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H53f. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H540]. % 49.57/49.68 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H543]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 49.57/49.68 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 49.57/49.68 congruence. % 49.57/49.68 apply (zenon_L1_); trivial. % 49.57/49.68 exact (zenon_H3d8 zenon_H3b0). % 49.57/49.68 apply zenon_H540. apply refl_equal. % 49.57/49.68 apply zenon_H540. apply refl_equal. % 49.57/49.68 exact (zenon_H3e2 zenon_H19b). % 49.57/49.68 apply zenon_H540. apply refl_equal. % 49.57/49.68 apply zenon_H540. apply refl_equal. % 49.57/49.68 apply (zenon_L550_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H17 | zenon_intro zenon_H3ab ]. % 49.57/49.68 apply (zenon_L110_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3ab); [ zenon_intro zenon_H174 | zenon_intro zenon_H177 ]. % 49.57/49.68 apply (zenon_L111_); trivial. % 49.57/49.68 apply (zenon_L153_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H537); [ zenon_intro zenon_H3af | zenon_intro zenon_H544 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L464_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L445_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L312_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.57/49.68 apply (zenon_L666_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H343 ]. % 49.57/49.68 apply (zenon_L406_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H260 | zenon_intro zenon_H344 ]. % 49.57/49.68 apply (zenon_L328_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H28a | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L400_); trivial. % 49.57/49.68 apply (zenon_L667_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L435_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L183_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L674_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_L666_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H544); [ zenon_intro zenon_H546 | zenon_intro zenon_H545 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H25 | zenon_intro zenon_H41 ]. % 49.57/49.68 apply (zenon_L4_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H2c | zenon_intro zenon_H42 ]. % 49.57/49.68 cut (((h3 (e13)) = (op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H546. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H39d. % 49.57/49.68 cut (((op2 (op2 (e22) (op2 (e22) (e22))) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H547]. % 49.57/49.68 cut (((h3 (e13)) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H548]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [ zenon_intro zenon_H549 | zenon_intro zenon_H54a ]. % 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10)))) = ((h3 (e13)) = (h3 (op1 (e11) (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H548. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H549. % 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H54a]. % 49.57/49.68 cut (((h3 (op1 (e11) (e10))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54b]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 49.57/49.68 congruence. % 49.57/49.68 exact (zenon_H31 zenon_H2c). % 49.57/49.68 apply zenon_H54a. apply refl_equal. % 49.57/49.68 apply zenon_H54a. apply refl_equal. % 49.57/49.68 cut (((op2 (e22) (e22)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54c]. % 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H54d]. % 49.57/49.68 congruence. % 49.57/49.68 apply zenon_H54d. apply sym_equal. exact zenon_H39a. % 49.57/49.68 apply zenon_H54c. apply sym_equal. exact zenon_H13. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H39 ]. % 49.57/49.68 apply (zenon_L7_); trivial. % 49.57/49.68 apply (zenon_L8_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H545); [ zenon_intro zenon_H3bf | zenon_intro zenon_H54e ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L676_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H54e); [ zenon_intro zenon_H3cc | zenon_intro zenon_H54f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L681_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L674_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L681_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L682_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ]. % 49.57/49.68 apply (zenon_L445_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ]. % 49.57/49.68 apply (zenon_L468_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L383_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_L680_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H54f); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H550 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L683_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H550); [ zenon_intro zenon_H552 | zenon_intro zenon_H551 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H4b | zenon_intro zenon_H372 ]. % 49.57/49.68 apply (zenon_L13_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H5b | zenon_intro zenon_H373 ]. % 49.57/49.68 apply (zenon_L18_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H353 | zenon_intro zenon_H121 ]. % 49.57/49.68 cut (((h3 (e11)) = (op2 (e22) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H552. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H39a. % 49.57/49.68 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H553]. % 49.57/49.68 cut (((h3 (e11)) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H554]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [ zenon_intro zenon_H555 | zenon_intro zenon_H556 ]. % 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10)))) = ((h3 (e11)) = (h3 (op1 (e12) (e10))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H554. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H555. % 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H556]. % 49.57/49.68 cut (((h3 (op1 (e12) (e10))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H557]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H558]. % 49.57/49.68 congruence. % 49.57/49.68 exact (zenon_H558 zenon_H353). % 49.57/49.68 apply zenon_H556. apply refl_equal. % 49.57/49.68 apply zenon_H556. apply refl_equal. % 49.57/49.68 cut (((op2 (e22) (e22)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H54c]. % 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559]. % 49.57/49.68 congruence. % 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0. % 49.57/49.68 apply zenon_H54c. apply sym_equal. exact zenon_H13. % 49.57/49.68 apply (zenon_L70_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H551); [ zenon_intro zenon_H3e5 | zenon_intro zenon_H55a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L687_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L674_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H1ec | zenon_intro zenon_H351 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L687_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L682_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H1ed | zenon_intro zenon_H352 ]. % 49.57/49.68 apply (zenon_L445_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H352); [ zenon_intro zenon_H34e | zenon_intro zenon_H20c ]. % 49.57/49.68 apply (zenon_L468_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H288 | zenon_intro zenon_H3f7 ]. % 49.57/49.68 apply (zenon_L688_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H3f8 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H20f ]. % 49.57/49.68 apply (zenon_L686_); trivial. % 49.57/49.68 apply (zenon_L435_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H55a); [ zenon_intro zenon_H55c | zenon_intro zenon_H55b ]. % 49.57/49.68 cut (((h3 (e10)) = (op2 (e22) (e22))) = ((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H55c. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H13. % 49.57/49.68 cut (((op2 (e22) (e22)) = (op2 (h3 (e12)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H55d]. % 49.57/49.68 cut (((h3 (e10)) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H55e]. % 49.57/49.68 congruence. % 49.57/49.68 elim (classic ((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [ zenon_intro zenon_H55f | zenon_intro zenon_H560 ]. % 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12)))) = ((h3 (e10)) = (h3 (op1 (e12) (e12))))). % 49.57/49.68 intro zenon_D_pnotp. % 49.57/49.68 apply zenon_H55e. % 49.57/49.68 rewrite <- zenon_D_pnotp. % 49.57/49.68 exact zenon_H55f. % 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H560]. % 49.57/49.68 cut (((h3 (op1 (e12) (e12))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H561]. % 49.57/49.68 congruence. % 49.57/49.68 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 49.57/49.68 congruence. % 49.57/49.68 apply zenon_H21. apply sym_equal. exact zenon_H1f. % 49.57/49.68 apply zenon_H560. apply refl_equal. % 49.57/49.68 apply zenon_H560. apply refl_equal. % 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559]. % 49.57/49.68 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H559]. % 49.57/49.68 congruence. % 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0. % 49.57/49.68 apply zenon_H559. apply sym_equal. exact zenon_H3b0. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H55b); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H562 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_L475_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_L296_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H206 | zenon_intro zenon_H2cc ]. % 49.57/49.68 apply (zenon_L667_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2cd ]. % 49.57/49.68 apply (zenon_L245_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H275 | zenon_intro zenon_H2a6 ]. % 49.57/49.68 apply (zenon_L690_); trivial. % 49.57/49.68 apply (zenon_L256_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L182_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L212_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_L690_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L655_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H562); [ zenon_intro zenon_H40a | zenon_intro zenon_H563 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_L413_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L221_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L699_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L209_); trivial. % 49.57/49.68 apply (zenon_L417_); trivial. % 49.57/49.68 apply (zenon_L700_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L443_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_L699_); trivial. % 49.57/49.68 apply (zenon_L388_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.57/49.68 apply (zenon_L395_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.57/49.68 apply (zenon_L292_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L444_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L702_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L450_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L460_); trivial. % 49.57/49.68 apply (zenon_L454_); trivial. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L472_); trivial. % 49.57/49.68 apply (zenon_L474_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_L700_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_L702_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L373_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_L701_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L213_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L445_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_L698_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L435_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L183_); trivial. % 49.57/49.68 apply (zenon_L703_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L682_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H563); [ zenon_intro zenon_H416 | zenon_intro zenon_H564 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L724_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L731_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L209_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L264_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L405_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L735_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L735_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L221_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L209_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.57/49.68 apply (zenon_L194_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.57/49.68 apply (zenon_L218_); trivial. % 49.57/49.68 apply (zenon_L734_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_L415_); trivial. % 49.57/49.68 apply (zenon_L416_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_L438_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L738_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_L743_); trivial. % 49.57/49.68 apply (zenon_L440_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_L433_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L241_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L183_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_L743_); trivial. % 49.57/49.68 apply (zenon_L440_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L443_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_L742_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L731_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_L473_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.57/49.68 apply (zenon_L154_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.57/49.68 apply (zenon_L726_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.57/49.68 apply (zenon_L292_); trivial. % 49.57/49.68 apply (zenon_L418_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_L738_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H564); [ zenon_intro zenon_H422 | zenon_intro zenon_H565 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L221_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L209_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L264_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L404_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L771_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L771_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L772_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L209_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a1 ]. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H20e | zenon_intro zenon_H2a2 ]. % 49.57/49.68 apply (zenon_L194_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H295 | zenon_intro zenon_H26d ]. % 49.57/49.68 apply (zenon_L218_); trivial. % 49.57/49.68 apply (zenon_L769_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_L415_); trivial. % 49.57/49.68 apply (zenon_L416_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L173_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L220_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L775_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L781_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L781_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_L782_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L241_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L183_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.57/49.68 apply (zenon_L441_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.57/49.68 apply (zenon_L292_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L405_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_L775_); trivial. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L767_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1ed | zenon_intro zenon_H2e1 ]. % 49.57/49.68 apply (zenon_L175_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H1ef | zenon_intro zenon_H2e2 ]. % 49.57/49.68 apply (zenon_L176_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H214 | zenon_intro zenon_H258 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L444_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L173_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L766_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H20c | zenon_intro zenon_H251 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H28a | zenon_intro zenon_H326 ]. % 49.57/49.68 apply (zenon_L774_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H258 | zenon_intro zenon_H327 ]. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H323 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L429_); trivial. % 49.57/49.68 apply (zenon_L338_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H20f | zenon_intro zenon_H252 ]. % 49.57/49.68 apply (zenon_L435_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H215 | zenon_intro zenon_H242 ]. % 49.57/49.68 apply (zenon_L183_); trivial. % 49.57/49.68 apply (zenon_L391_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.57/49.68 apply (zenon_L178_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.57/49.68 apply (zenon_L180_); trivial. % 49.57/49.68 apply (zenon_L765_); trivial. % 49.57/49.68 apply (zenon_L779_); trivial. % 49.57/49.68 apply (zenon_L195_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H193 | zenon_intro zenon_H30b ]. % 49.57/49.68 apply (zenon_L166_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H1da | zenon_intro zenon_H30c ]. % 49.57/49.68 apply (zenon_L395_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H302 | zenon_intro zenon_H305 ]. % 49.57/49.68 apply (zenon_L292_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L173_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_L450_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L322_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L784_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L211_); trivial. % 49.57/49.68 apply (zenon_L452_); trivial. % 49.57/49.68 apply (zenon_L335_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L772_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L783_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_L778_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H565); [ zenon_intro zenon_H42d | zenon_intro zenon_H566 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H487); [ zenon_intro zenon_H194 | zenon_intro zenon_H52a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H2e9 ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2ea ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L820_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_L821_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L444_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L273_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L825_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_L821_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L221_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2d2 ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2d3 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L827_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H295 ]. % 49.57/49.68 apply (zenon_L240_); trivial. % 49.57/49.68 apply (zenon_L322_); trivial. % 49.57/49.68 apply (zenon_L821_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L382_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L418_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H260 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H32c ]. % 49.57/49.68 apply (zenon_L165_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H32d ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H30d | zenon_intro zenon_H29b ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H2dc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L265_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H1ac | zenon_intro zenon_H278 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H279 ]. % 49.57/49.68 apply (zenon_L296_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H203 | zenon_intro zenon_H275 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L302_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L312_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H254 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1fb | zenon_intro zenon_H255 ]. % 49.57/49.68 apply (zenon_L178_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H203 | zenon_intro zenon_H229 ]. % 49.57/49.68 apply (zenon_L284_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H349 ]. % 49.57/49.68 apply (zenon_L300_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H261 | zenon_intro zenon_H34a ]. % 49.57/49.68 apply (zenon_L199_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H335 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L386_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L312_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L673_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L823_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H288 | zenon_intro zenon_H2e3 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_L373_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2df ]. % 49.57/49.68 apply (zenon_L170_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1db | zenon_intro zenon_H2e0 ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H1de | zenon_intro zenon_H225 ]. % 49.57/49.68 apply (zenon_L172_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L294_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d0 ]. % 49.57/49.68 apply (zenon_L373_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H2d1 ]. % 49.57/49.68 apply (zenon_L177_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H238 | zenon_intro zenon_H256 ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25e | zenon_intro zenon_H286 ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H214 | zenon_intro zenon_H287 ]. % 49.57/49.68 apply (zenon_L822_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H215 ]. % 49.57/49.68 apply (zenon_L211_); trivial. % 49.57/49.68 apply (zenon_L212_); trivial. % 49.57/49.68 apply (zenon_L194_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L213_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H25e | zenon_intro zenon_H28a ]. % 49.57/49.68 apply (zenon_L197_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19f | zenon_intro zenon_H28e ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19f | zenon_intro zenon_H1bb ]. % 49.57/49.68 apply (zenon_L156_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1bc ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2dd ]. % 49.57/49.68 apply (zenon_L158_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1da | zenon_intro zenon_H2de ]. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H2eb ]. % 49.57/49.68 apply (zenon_L173_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1db | zenon_intro zenon_H2ec ]. % 49.57/49.68 apply (zenon_L171_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H20e ]. % 49.57/49.68 apply (zenon_L174_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H20b | zenon_intro zenon_H318 ]. % 49.57/49.68 apply (zenon_L828_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H305 | zenon_intro zenon_H319 ]. % 49.57/49.68 apply (zenon_L312_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H290 | zenon_intro zenon_H314 ]. % 49.57/49.68 apply (zenon_L217_); trivial. % 49.57/49.68 apply (zenon_L814_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H25b | zenon_intro zenon_H261 ]. % 49.57/49.68 apply (zenon_L196_); trivial. % 49.57/49.68 apply (zenon_L682_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 49.57/49.68 apply (zenon_L159_); trivial. % 49.57/49.68 apply (zenon_L160_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H206 ]. % 49.57/49.68 apply (zenon_L169_); trivial. % 49.57/49.68 apply (zenon_L215_); trivial. % 49.57/49.68 apply (zenon_L222_); trivial. % 49.57/49.68 apply (zenon_L380_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H193 | zenon_intro zenon_H535 ]. % 49.57/49.68 apply (zenon_L262_); trivial. % 49.57/49.68 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2f1 ]. % 49.57/49.68 apply (zenon_L263_); trivial. % 49.57/49.68 apply (zenon_L306_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H566); [ zenon_intro zenon_H568 | zenon_intro zenon_H567 ]. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H568). zenon_intro zenon_H12. zenon_intro zenon_H569. % 49.57/49.68 apply (zenon_L1_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H567); [ zenon_intro zenon_H56b | zenon_intro zenon_H56a ]. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56b). zenon_intro zenon_H56d. zenon_intro zenon_H56c. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56c). zenon_intro zenon_H399. zenon_intro zenon_H56e. % 49.57/49.68 apply (zenon_L651_); trivial. % 49.57/49.68 apply (zenon_notand_s _ _ zenon_H56a); [ zenon_intro zenon_H56f | zenon_intro zenon_H433 ]. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H56f). zenon_intro zenon_H571. zenon_intro zenon_H570. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H570). zenon_intro zenon_H573. zenon_intro zenon_H572. % 49.57/49.68 apply (zenon_notor_s _ _ zenon_H572). zenon_intro zenon_H3d8. zenon_intro zenon_H574. % 49.57/49.68 exact (zenon_H3d8 zenon_H3b0). % 49.57/49.68 apply (zenon_L829_); trivial. % 49.57/49.68 Qed. % 49.57/49.68 % SZS output end Proof % 49.57/49.68 (* END-PROOF *) % 49.57/49.68 nodes searched: 1903481 % 49.57/49.68 max branch formulas: 2064 % 49.57/49.68 proof nodes created: 33831 % 49.57/49.68 formulas created: 1037637 % 49.57/49.68 %------------------------------------------------------------------------------